@InProceedings{ShaltielUm01, author = {Ronen Shaltiel and Christopher Umans}, title = {Simple Extractors for All Min-Entropies and a New Pseudo-Random Generator}, OPTbooktitle = {}, crossref = {FOCS42}, OPTkey = {}, pages = {648--657}, OPTyear = {}, OPTeditor = {}, OPTvolume = {}, OPTnumber = {}, OPTseries = {}, OPTaddress = {}, OPTmonth = {}, OPTorganization = {}, OPTpublisher = {}, note = {}, OPTannote = {} } @InProceedings{TaShmaZuSa01, author = {Amnon {Ta-S}hma and David Zuckerman and Shmuel Safra}, title = {Extractors from {Reed--Muller} Codes}, OPTbooktitle = {}, crossref = {FOCS42}, OPTkey = {}, pages = {638--647}, OPTyear = {}, OPTeditor = {}, OPTvolume = {}, OPTnumber = {}, OPTseries = {}, OPTaddress = {}, OPTmonth = {}, OPTorganization = {}, OPTpublisher = {}, note = {}, OPTannote = {} } @Proceedings{FOCS42, title={42nd Annual Symposium on Foundations of Computer Science}, booktitle={42nd Annual Symposium on Foundations of Computer Science}, month={14--17 } # oct, year=2001, c-address={Las Vegas, Nevada}, organization={IEEE}, crossrefonly=1, OPTpubinfo={}, OPTsource={} } @techreport{BeamePi98, AUTHOR = "P. Beame and T. Pitassi", TITLE = "Propositional Proof Complexity: Past, Present and Future", INSTITUTION = "Electronic Colloquium on Computational Complexity", YEAR = "1998", NUMBER = "TR98-067" } @article {LubyMiShSp01, AUTHOR = {Luby, Michael G. and Mitzenmacher, Michael and Shokrollahi, M. Amin and Spielman, Daniel A.}, TITLE = {Improved low-density parity-check codes using irregular graphs}, JOURNAL = {IEEE Trans. Inform. Theory}, FJOURNAL = {Institute of Electrical and Electronics Engineers. Transactions on Information Theory}, VOLUME = {47}, YEAR = {2001}, NUMBER = {2}, PAGES = {585--598}, ISSN = {0018-9448}, CODEN = {IETTAW}, MRCLASS = {94Bxx}, MRNUMBER = {1 820 478}, } @article{ChvatalSz88, AUTHOR = "Chv{\'a}tal, V. and Szemer{\'e}di, E.", TITLE = "Many hard examples for resolution", JOURNAL = "Journal of the ACM", YEAR = "1988", VOLUME = "35", PAGES = "759-768", NUMBER = "4"} @InCollection{Tseitin68, author = {G. C. Tseitin}, title = {On the complexity of derivations in propositional calculus}, booktitle = {Studies in constructive mathematics and mathematical logic, Part II}, OPTcrossref = {}, OPTkey = {}, OPTpages = {115-125}, publisher = {Consultants Bureau, New-York-London}, year = {1968}, OPTeditor = {A. O. Slissenko}, OPTvolume = {}, OPTnumber = {}, OPTseries = {}, OPTtype = {}, OPTchapter = {}, OPTaddress = {}, OPTedition = {}, OPTmonth = {}, OPTnote = {}, OPTannote = {} } @InProceedings{TaShmaUmZu01, AUTHOR = {A. {Ta-S}hma and C. Umans and D. Zuckerman}, TITLE={Loss-less Condensers, Unbalanced Expanders, and Extractors}, BOOKTITLE={Proc. of the 33rd Annual ACM Symposium on the Theory of Computing}, PAGES={143--152}, YEAR={2001} } @Unpublished{Alon95, AUTHOR={N. Alon}, TITLE={Private communication}, YEAR=1995 } @Unpublished{TaShma01, AUTHOR={A. Ta-Shma}, NOTE={Private communication}, YEAR=2001 } @Unpublished{Capalbo01, AUTHOR={M. Capalbo}, TITLE={Explicit Constant-Degree Unique-Neighbor Expanders}, YEAR=2001, NOTE={Submitted} } @InProceedings{ReingoldVaWi00, AUTHOR ={O. Reingold and S. Vadhan and A. Wigderson}, TITLE ={Entropy Waves, The Zig-Zag Graph Product, and New Constant-Degree Expanders and Extractors}, BOOKTITLE={Proceedings of 41st Annual Symposium on Foundations of Computer Science}, PAGES={3-13}, YEAR={ 2000}, } @article {AroraLeMa96, AUTHOR = {Arora, Sanjeev and Leighton, F. T. and Maggs, Bruce M.}, TITLE = {On-line algorithms for path selection in a nonblocking network}, JOURNAL = {SIAM J. Comput.}, FJOURNAL = {SIAM Journal on Computing}, VOLUME = {25}, YEAR = {1996}, NUMBER = {3}, PAGES = {600--625}, ISSN = {0097-5397}, CODEN = {SMJCAT}, MRCLASS = {68M10 (68Q22)}, MRNUMBER = {97b:68014}, MRREVIEWER = {Neville G. F. Sancho}, } @article {PelegUp89, AUTHOR = {Peleg, D. and Upfal, E.}, TITLE = {Constructing disjoint paths on expander graphs}, JOURNAL = {Combinatorica}, FJOURNAL = {Combinatorica. An International Journal on Combinatorics and the Theory of Computing}, VOLUME = {9}, YEAR = {1989}, NUMBER = {3}, PAGES = {289--313}, ISSN = {0209-9683}, CODEN = {COMBDI}, MRCLASS = {05C85 (05C38 68M10)}, MRNUMBER = {91h:05115}, MRREVIEWER = {Max Garzon}, } @article {BroderFrUp99, AUTHOR = {Broder, Andrei Z. and Frieze, Alan M. and Upfal, Eli}, TITLE = {Static and dynamic path selection on expander graphs: a random walk approach}, JOURNAL = {Random Structures Algorithms}, FJOURNAL = {Random Structures \& Algorithms}, VOLUME = {14}, YEAR = {1999}, NUMBER = {1}, PAGES = {87--109}, ISSN = {1042-9832}, MRCLASS = {05C80 (60J15)}, MRNUMBER = {99m:05144}, MRREVIEWER = {Tatiana Smirnova-Nagnibeda}, } @article{SipserSp96, AUTHOR = {Sipser, Michael and Spielman, Daniel A.}, TITLE = {Expander codes}, NOTE = {}, JOURNAL = {IEEE Trans. Inform. Theory}, FJOURNAL = {Institute of Electrical and Electronics Engineers. Transactions on Information Theory}, VOLUME = {42}, YEAR = {1996}, NUMBER = {6, part 1}, PAGES = {1710--1722}, ISSN = {0018-9448}, CODEN = {IETTAW}, MRCLASS = {94B05}, MRNUMBER = {98d:94031}, } @article {UpfalWi88, AUTHOR = {Upfal, Eli and Wigderson, Avi}, TITLE = {How to share memory in a distributed system}, JOURNAL = {Journal of the ACM}, FJOURNAL = {Journal of the Association for Computing Machinery}, VOLUME = {34}, YEAR = {1987}, NUMBER = {1}, PAGES = {116--127}, ISSN = {0004-5411}, CODEN = {JACOAH}, MRCLASS = {68M10 (68N25 68Q05)}, MRNUMBER = {88c:68009}, } @inProceedings{BuhrmanMiRaSr00, AUTHOR = {Harry Buhrman and Peter Bro Miltersen and Jaikumar Radhakrishnan and Venkatesh Srinivasan}, TITLE = {Are bitvectors optimal?}, booktitle = {Proceedings of the Thirty-Second Annual ACM Symposium on the Theory of Computing}, year = {2000}, PAGES = {}, c-organization = {ACM}, } @InProceedings{AlekhnovichBeRaWi00, title={Pseudorandom Generators in Propositional Proof Complexity}, author={M. Alekhnovich and E. {Ben-S}asson and A. Razborov and A. Wigderson}, pages={43--53}, year ={2000}, booktitle={41st Annual Symposium on Foundations of Computer Science}, organization={IEEE}, } @Article{Ben-SassonWi01, author = {{Ben-S}asson, Eli and Wigderson, Avi}, title = {Short proofs are narrow---resolution made simple}, journal = {Journal of the ACM}, year = {2001}, OPTkey = {}, volume = {48}, number = {2}, pages = {149--169}, month = {March}, OPTnote = {}, OPTannote = {} } @InProceedings{AlekhnovichRa01, title={Lower Bounds for Polynomial Calculus: Non-Binomial Case }, author={M. Alekhnovich and A. Razborov }, pages={190--199}, year ={2001}, booktitle={42nd Annual Symposium on Foundations of Computer Science}, organization={IEEE}, } @misc{Renyi70, author = "A. Renyi", title = "Probability Theory", text = "A. Renyi. Probability Theory. North-Holland, Amsterdam, 1970.", year = "1970" } @InProceedings{ImpagliazzoShWi00, author = {Russell Impagliazzo and Ronen Shaltiel and Avi Wigderson}, title = {Extractors and Pseudo-Random Generators with Optimal Seed Length}, booktitle = {Proceedings of the Thirty-Second Annual ACM Symposium on the Theory of Computing}, OPTcrossref = {}, OPTkey = {}, pages = {1--10}, year = {2000}, OPTeditor = {}, OPTvolume = {}, OPTnumber = {}, OPTseries = {}, address = {Portland, Oregon}, month = {May}, c-organization = {ACM}, OPTpublisher = {}, note = {See also ECCC TR00-009}, OPTannote = {} } @Article{Trevisan01, author = {Luca Trevisan}, title = {Extractors and Pseudorandom Generators}, journal = {Journal of the ACM}, year = {2001}, OPTkey = {}, volume = {48}, number = {4}, pages = {860--879}, month = {July}, OPTnote = {}, OPTannote = {} } @InProceedings{RazReVa99a, author = {Ran Raz and Omer Reingold and Salil Vadhan}, title = {Extracting all the Randomness and Reducing the Error in {T}revisan's Extractors}, booktitle = {Proceedings of the Thirty-First Annual ACM Symposium on the Theory of Computing}, OPTcrossref = {}, OPTkey = {}, pages = {149--158}, year = {1999}, OPTeditor = {}, OPTvolume = {}, OPTnumber = {}, OPTseries = {}, address = {Atlanta, GA}, OPTmonth = {}, OPTorganization = {}, c-organization = {ACM} , OPTpublisher = {}, note = {See preprint of journal version, revised July 2001 for {\em J. Computer and System Sci.}}, OPTannote = {} } @InProceedings{RazRe99, author = {Ran Raz and Omer Reingold}, title = {On Recycling the Randomness of the States in Space Bounded Computation}, booktitle = {Proceedings of the Thirty-First Annual ACM Symposium on the Theory of Computing}, OPTcrossref = {}, OPTkey = {}, OPTpages = {}, year = {1999}, OPTeditor = {}, OPTvolume = {}, OPTnumber = {}, OPTseries = {}, address = {Atlanta, GA}, month = {May}, c-organization = {ACM} , OPTorganization = {}, OPTpublisher = {}, OPTnote = {}, OPTannote = {} } @Misc{Trevisan98, OPTkey = {}, author = {Luca Trevisan}, title = {Constructions of Near-Optimal Extractors Using Pseudo-Random Generators}, howpublished = {{\em Electronic Colloquium on Computational Complexity} Technical Report TR98-55}, year = {1998}, month = {September}, note = {Extended abstract in these proceedings}, OPTannote = {} } @Article{NisanWi94, title={Hardness vs Randomness}, author={Noam Nisan and Avi Wigderson}, pages={149--167}, journal=jcss, year=1994, month=oct, volume=49, number=2, source={http://theory.lcs.mit.edu/~dmjones/hbp/jcss/jcss.bib} } @article {WigdersonZu99, AUTHOR = {Wigderson, Avi and Zuckerman, David}, TITLE = {Expanders that beat the eigenvalue bound: explicit construction and applications}, JOURNAL = {Combinatorica}, FJOURNAL = {Combinatorica. An International Journal on Combinatorics and the Theory of Computing}, VOLUME = {19}, YEAR = {1999}, NUMBER = {1}, PAGES = {125--138}, ISSN = {0209-9683}, MRCLASS = {15-XX}, MRNUMBER = {1 722 214}, } @Article{GoldwasserMi84, title={Probabilistic Encryption}, author={Shafi Goldwasser and Silvio Micali}, pages={270--299}, journal=jcss, year=1984, month=apr, volume=28, number=2, preliminary={STOC::GoldwasserM1982}, source={http://theory.lcs.mit.edu/~dmjones/hbp/jcss/jcss.bib} } @InProceedings{Yao82, title={Theory and Applications of Trapdoor Functions (Extended Abstract)}, author={Yao, Andrew C.}, pages={80--91}, crossref={FOCS23}, source={http://theory.lcs.mit.edu/~dmjones/FOCS/focs.bib} } @Proceedings{FOCS23, title={23rd Annual Symposium on Foundations of Computer Science}, booktitle={23rd Annual Symposium on Foundations of Computer Science}, month={3--5 } # nov, year=1982, address={Chicago, Illinois}, organization={IEEE}, crossrefonly=1, source={http://theory.lcs.mit.edu/~dmjones/FOCS/focs.bib} } @Article{Zuckerman97, author = {David Zuckerman}, title = {Randomness-Optimal Oblivious Sampling}, journal = {Random Structures \& Algorithms}, year = {1997}, OPTkey = {}, volume = {11}, number = {4}, pages = {345--367}, OPTmonth = {}, OPTnote = {}, OPTannote = {} } @Article{GoldreichWi97, author = {Oded Goldreich and Avi Wigderson}, title = {Tiny Families of Functions with Random Properties: A Quality-Size Trade-off for Hashing}, journal = {Random Structures \& Algorithms}, year = {1997}, OPTkey = {}, volume = {11}, number = {4}, pages = {315--343}, OPTmonth = {}, OPTnote = {}, OPTannote = {} } @InProceedings{TaShma96, title={On Extracting Randomness From Weak Random Sources (Extended Abstract)}, author={Amnon {Ta-S}hma}, pages={276--285}, crossref={STOC28}, source={http://theory.lcs.mit.edu/~dmjones/STOC/stoc.bib} } @Proceedings{STOC28, title={Proceedings of the Twenty-Eighth Annual ACM Symposium on the Theory of Computing}, booktitle={Proceedings of the Twenty-Eighth Annual ACM Symposium on the Theory of Computing}, month={22--24 } # may, year=1996, address={Philadelphia, Pennsylvania}, c-organization={ACM}, key={ACM}, crossrefonly=1, source={http://theory.lcs.mit.edu/~dmjones/STOC/stoc.bib} } @InProceedings{TaShma98, author = {Amnon {Ta-S}hma}, title = {Almost Optimal Dispersers}, booktitle = "Proceedings of the 30th Annual ACM Symposium on Theory of Computing", year = "1998", organization = "ACM", address = "Dallas, TX", month = "May", note = {}, pages = "196--202" } @Article{Sipser88, title={Expanders, Randomness, or Time versus Space}, author={Michael Sipser}, pages={379--383}, journal=jcss, year=1988, month=jun, volume=36, number=3, source={http://theory.lcs.mit.edu/~dmjones/hbp/jcss/jcss.bib} } @Article{NisanZu96, title={Randomness is Linear in Space}, author={Noam Nisan and David Zuckerman}, pages={43--52}, journal=jcss, year=1996, month=feb, volume=52, number=1, preliminary={STOC::NisanZ1993}, source={http://theory.lcs.mit.edu/~dmjones/hbp/jcss/jcss.bib} } @string{algor={Algorithmica}} @Article{Zuckerman96, title={Simulating {BPP} Using a General Weak Random Source}, author={David Zuckerman}, pages={367--391}, journal=algor, year=1996, month=oct # "/" # nov, volume=16, number={4/5}, source={http://theory.lcs.mit.edu/~dmjones/hbp/bibs/misc/algor.bib} } @Misc{GoldreichZu97, OPTkey = {}, author = {Oded Goldreich and David Zuckerman}, title = {Another proof that $\mbox{BPP}\subseteq\mbox{PH}$ (and more)}, howpublished = {{\em Electronic Colloquium on Computational Complexity} Technical Report TR97-045}, month = {September}, year = {1997}, note = {\verb|http://www.eccc.uni-trier.de/eccc|}, OPTannote = {} } @string{lncs={Lecture Notes in Computer Science}} @InProceedings{AndreevClRo97, title={Worst-Case Hardness Suffices for Derandomization: A New Method for Hardness-Randomness Trade-Offs}, author={Alexander E. Andreev and Andrea E. F. Clementi and Jos{\'e} D. P. Rolim}, crossref={icalp97}, pages={177--187}, source={http://theory.lcs.mit.edu/~dmjones/hbp/bibs/ley/icalp/icalp.bib} } @Proceedings{ICALP97, editor={Pierpaolo Degano and Robert Gorrieri and Alberto Marchetti-Spaccamela}, title={Automata, Languages and Programming, 24th International Colloquium}, booktitle={Automata, Languages and Programming, 24th International Colloquium}, address={Bologna, Italy}, month={7--11~} # jul, year=1997, series=lncs, volume=1256, publisher={Springer-Verlag}, comment={ISBN 3-540-63165-8}, crossrefonly=1, source={http://theory.lcs.mit.edu/~dmjones/hbp/bibs/ley/icalp/icalp.bib} } @Article{SanthaVa86, title={Generating Quasi-random Sequences from Semi-random Sources}, author={Miklos Santha and Umesh V. Vazirani}, pages={75--87}, journal=jcss, year=1986, month=aug, volume=33, number=1, preliminary={FOCS::SanthaV1984}, source={http://theory.lcs.mit.edu/~dmjones/hbp/jcss/jcss.bib} } @InProceedings{Vazirani87b, title={Efficiency Considerations in Using Semi-random Sources (Extended Abstract)}, author={Vazirani, Umesh V.}, pages={160--168}, crossref={STOC19}, source={http://theory.lcs.mit.edu/~dmjones/STOC/stoc.bib} } @Proceedings{STOC19, title={Proceedings of the Nineteenth Annual ACM Symposium on Theory of Computing}, booktitle={Proceedings of the Nineteenth Annual ACM Symposium on Theory of Computing}, month={25--27 } # may, year=1987, address={New York City}, c-organization={ACM}, key={ACM}, crossrefonly=1, source={http://theory.lcs.mit.edu/~dmjones/STOC/stoc.bib} } @InProceedings{VaziraniVa85, title={Random Polynomial Time Is Equal to Slightly-random Polynomial Time}, author={Vazirani, Umesh V. and Vazirani, Vijay V.}, pages={417--428}, crossref={FOCS26}, source={http://theory.lcs.mit.edu/~dmjones/FOCS/focs.bib} } @Proceedings{FOCS26, title={26th Annual Symposium on Foundations of Computer Science}, booktitle={26th Annual Symposium on Foundations of Computer Science}, month={21--23 } # oct, year=1985, address={Portland, Oregon}, organization={IEEE}, crossrefonly=1, source={http://theory.lcs.mit.edu/~dmjones/FOCS/focs.bib} } @Article{Vazirani87a, author = {Umesh V. Vazirani}, title = {Strong communication complexity or generating quasirandom sequences from two communicating semirandom sources}, journal = {Combinatorica}, year = {1987}, OPTkey = {}, volume = {7}, number = {4}, pages = {375--392}, OPTmonth = {}, OPTnote = {}, OPTannote = {} } @Article{ChorGo88, title={Unbiased Bits from Sources of Weak Randomness and Probabilistic Communication Complexity}, author={Benny Chor and Oded Goldreich}, pages={230--261}, journal=sicomp, year=1988, month=apr, volume=17, number=2, source={http://theory.lcs.mit.edu/~dmjones/hbp/sicomp/sicomp.bib} } @article {SrinivasanZu99, AUTHOR = {Srinivasan, Aravind and Zuckerman, David}, TITLE = {Computing with very weak random sources}, JOURNAL = {SIAM J. Comput.}, FJOURNAL = {SIAM Journal on Computing}, VOLUME = {28}, YEAR = {1999}, NUMBER = {4}, PAGES = {1433--1459 (electronic)}, ISSN = {1095-7111}, MRCLASS = {68W20 (65C10 68Q15 94A17)}, MRNUMBER = {2001d:68234}, } @InProceedings{RadhakrishnanTa97, title={Tight bounds for depth-two superconcentrators}, author={Jaikumar Radhakrishnan and Amnon {Ta-S}hma}, pages={585--594}, crossref={FOCS38}, source={http://theory.lcs.mit.edu/~dmjones/FOCS/focs.bib} } @Proceedings{FOCS38, title={38th Annual Symposium on Foundations of Computer Science}, booktitle={38th Annual Symposium on Foundations of Computer Science}, month={20--22 } # oct, year=1997, address={Miami Beach, Florida}, organization={IEEE}, crossrefonly=1, pubinfo={IEEE Computer Society Press Order Number PR08197; IEEE Order Plan Catalog Number 97CH36130; ISBN 0-8186-8197-7; ISBN 0-8186-8198-5 (case); ISBN 0-8186-8199-3 (microfiche); ISSN 0272-5428}, source={http://theory.lcs.mit.edu/~dmjones/FOCS/focs.bib} } string{jacm={Journal of the ACM}} @Article{SaksSrZh98, title={Explicit {OR}-Dispersers with Polylogarithmic Degree}, author={Michael Saks and Aravind Srinivasan and Shiyu Zhou}, area={Formal Languages and Complexity Theory}, journal=jacm, pages={123--154}, month=jan, year=1998, volume=45, number=1, keywords={Derandomization, expander graphs, explicit constructions, hashing lemmas, hardness of approximation, imperfect sources of randomness, measures of information, pseudo-random generators, randomized computation, time-space tradeoffs}, general-terms={Algorithms, Theory}, cr-categories={F.1.3[relations among randomized complexity classes]; G.2.1[combinatorial algorithms]; G.3[probabilistic algorithms]}, preliminary={stoc::SaksSZ1995}, source={http://theory.lcs.mit.edu/~jacm/jacm.bib} } @PhdThesis{Vazirani86, author = {Umesh V. Vazirani}, title = {Randomness, Adversaries, and Computation}, school = {University of California, Berkeley}, year = {1984}, OPTkey = {}, OPTtype = {}, OPTaddress = {}, OPTmonth = {}, OPTnote = {}, OPTannote = {} } @InProceedings{ImpagliazzoLeLu89, title={Pseudo-random Generation from one-way functions (Extended Abstracts)}, author={Impagliazzo, Russell and Levin, Leonid A. and Luby, Michael}, pages={12--24}, crossref={STOC21}, source={http://theory.lcs.mit.edu/~dmjones/STOC/stoc.bib} } @Proceedings{STOC21, title={Proceedings of the Twenty First Annual ACM Symposium on Theory of Computing}, booktitle={Proceedings of the Twenty First Annual ACM Symposium on Theory of Computing}, month={15--17 } # may, year=1989, address={Seattle, Washington}, c-organization={ACM}, key={ACM}, crossrefonly=1, source={http://theory.lcs.mit.edu/~dmjones/STOC/stoc.bib} } @InProceedings{Nisan96, title={Extracting Randomness: How and Why: A Survey}, author={Noam Nisan}, pages={44--58}, crossref={SCTC96}, source={http://theory.lcs.mit.edu/~dmjones/hbp/sctc/concur.bib} } @Proceedings{SCTC96, title={Proceedings, Eleventh Annual IEEE Conference on Computational Complexity}, booktitle={Proceedings, Eleventh Annual IEEE Conference on Computational Complexity}, address={Philadelphia, Pennsylvania}, month={24--27~} # may, year=1996, publisher={IEEE Computer Society Press}, crossrefonly=1, comment={checked}, source={http://theory.lcs.mit.edu/~dmjones/hbp/sctc/concur.bib} } @Article{NisanTa99, author = {Noam Nisan and Amnon {Ta-Shma}}, title = {Extracting Randomness: A Survey and New Constructions}, journal = {Journal of Computer and System Sciences}, year = {1999}, OPTkey = {}, volume = {58}, number = {1}, pages = {148--173}, OPTmonth = {}, OPTnote = {}, OPTannote = {} } @InCollection{AjtaiKoStSz89, author = {Mikl{\'o}s Ajtai and J{\'a}nos Koml{\'o}s and William Steiger and Endre Szemer{\'e}di}, title = {Almost Sorting in One Round}, booktitle = {Randomness and Computation}, OPTcrossref = {}, OPTkey = {}, pages = {117--125}, publisher = {JAI Press Inc.}, year = {1989}, editor = {Silvio Micali}, volume = {5}, OPTnumber = {}, series = {Advances in Computing Research}, OPTtype = {}, OPTchapter = {}, OPTaddress = {}, OPTedition = {}, OPTmonth = {}, OPTnote = {}, OPTannote = {} } @Article{Pippenger87, title={Sorting and Selecting in Rounds}, author={Nicholas Pippenger}, pages={1032--1038}, journal=sicomp, year=1987, month=dec, volume=16, number=6, source={http://theory.lcs.mit.edu/~dmjones/hbp/sicomp/sicomp.bib} } @Book{AlonSpEr92, author = {Noga Alon and Joel H. Spencer and Paul Erd{\H{o}}s}, ALTeditor = {}, title = {The Probabilistic Method}, publisher = {John Wiley and Sons, Inc.}, year = {1992}, OPTkey = {}, OPTvolume = {}, OPTnumber = {}, series = {Wiley-Interscience Series in Discrete Mathematics and Optimization}, OPTaddress = {}, OPTedition = {}, OPTmonth = {}, OPTnote = {}, OPTannote = {} } @Book{Goldreich95, author = {Oded Goldreich}, ALTeditor = {}, title = {Foundations of Cryptography (Fragments of a Book)}, publisher = {Weizmann Institute of Science}, year = {1995}, OPTkey = {}, OPTvolume = {}, OPTnumber = {}, OPTseries = {}, OPTaddress = {}, OPTedition = {}, OPTmonth = {}, note = {Available, along with revised version 1/98, from \verb|http://theory.lcs.mit.edu/~oded|}, OPTannote = {} } @Booklet{Goldreich98, title = {{\em Modern Cryptography, Probabilistic Proofs and Pseudorandomness}}, OPTkey = {}, author = {Oded Goldreich}, OPThowpublished = {}, OPTaddress = {}, month = {June}, year = {1998}, note = {To be published by {\em Springer}}, OPTannote = {} } @Book{MotwaniRa95, author = {Rajeev Motwani and Prabhakar Raghavan}, ALTeditor = {}, title = {Randomized Algorithms}, publisher = {Cambridge University Press}, year = {1995}, OPTkey = {}, OPTvolume = {}, OPTnumber = {}, OPTseries = {}, OPTaddress = {}, OPTedition = {}, OPTmonth = {}, OPTnote = {}, OPTannote = {} } @Book{AssmusKe92, author = "E.F. Assmus and J.D. Key", title = "Designs and their codes", publisher = "Cambridge University Press", year = "1992", OPTcrossref = "", OPTkey = "", OPTeditor = "", OPTvolume = "", number = "103", series = "Cambridge Tracts in Mathematics", OPTaddress = "", OPTedition = "", OPTmonth = "", OPTnote = "", OPTannote = "" } @Misc{TaShma98b, OPTcrossref = "", OPTkey = "", author = "Amnon {Ta-S}hma", OPTtitle = "", howpublished = "Personal communication", year = "1998", month = "August", OPTnote = "", OPTannote = "" } @TechReport{SudanTrVa98, author = {Madhu Sudan and Luca Trevisan and Salil Vadhan}, title = {Pseudorandom Generators without the {XOR} Lemma}, institution = {Electronic Colloquium on Computational Complexity}, year = {1998}, OPTkey = {}, OPTtype = {}, number = {TR98-074}, OPTaddress = {}, month = {December}, note = {Extended abstract in these proceedings.}, OPTannote = {} } @Book{MacWilliamsSl77, author = {Florence J. MacWilliams and Neil J. A. Sloane}, title = {The Theory of Error-Correcting Codes}, publisher = {North-Holland}, year = {1977}, OPTkey = {}, OPTeditor = {}, OPTvolume = {}, OPTnumber = {}, OPTseries = {}, OPTaddress = {}, OPTedition = {}, OPTmonth = {}, OPTnote = {}, OPTannote = {} } @Article{BellareGoSu98, title={Free Bits, {PCPs}, and Nonapproximability---Towards Tight Results}, author={Mihir Bellare and Oded Goldreich and Madhu Sudan}, pages={804--915}, journal=sicomp, month=jun, year=1998, volume=27, number=3, siam-key={30253}, preliminary={focs::BellareGS1995, eccc::BellareGS1995}, source={http://theory.lcs.mit.edu/~dmjones/hbp/sicomp/sicomp.bib} } @Book{CoverTh91, author = "Thomas M. Cover and Joy A. Thomas", title = "Elements of Information Theory", publisher = "John Wiley \& Sons, Inc.", year = "1991", OPTcrossref = "", OPTkey = "", OPTeditor = "", OPTvolume = "", OPTnumber = "", series = "Wiley Series in Telecommunications", OPTaddress = "", edition = "2nd", OPTmonth = "", OPTnote = "", OPTannote = "" } @Unpublished{ImpagliazzoWi96, author = {Russell Impagliazzo and Avi Wigderson}, title = {An Information Theoretic Variant of the Inclusion-Exclusion Bound (Preliminary Version)}, note = {Unpublished manuscript}, OPTkey = {}, month = {September}, year = {1996}, OPTannote = {} } @InProceedings{ImpagliazzoWi97, title={{$\mathit{P} = \mathit{BPP}$} if {$E$} Requires Exponential Circuits: Derandomizing the {XOR} Lemma}, author={Russell Impagliazzo and Avi Wigderson}, pages={220--229}, crossref={STOC29}, source={http://theory.lcs.mit.edu/~dmjones/STOC/stoc.bib} } @Proceedings{STOC29, title={Proceedings of the Twenty-Ninth Annual ACM Symposium on Theory of Computing}, booktitle={Proceedings of the Twenty-Ninth Annual ACM Symposium on Theory of Computing}, month={4--6 } # may, year=1997, address={El Paso, Texas}, c-organization={ACM}, key={ACM}, crossrefonly=1, source={http://theory.lcs.mit.edu/~dmjones/STOC/stoc.bib} } @Misc{RazReVa99b, OPTkey = {}, author = {Ran Raz and Omer Reingold and Salil Vadhan}, title = {Error Reduction in Extractors}, OPThowpublished = {}, OPTmonth = {}, year = {1999}, note = {In preparation}, OPTannote = {} } @InProceedings{FriedmanKS89, title={On the Second Eigenvalue in Random Regular Graphs}, author={Friedman, Joel and Kahn, Jeff and Szemer{\'e}di, Endre}, pages={587--598}, crossref={STOC21}, source={http://theory.lcs.mit.edu/~dmjones/STOC/stoc.bib} } @Proceedings{STOC21, title={Proceedings of the Twenty First Annual ACM Symposium on Theory of Computing}, booktitle={Proceedings of the Twenty First Annual ACM Symposium on Theory of Computing}, month={15--17 } # may, year=1989, address={Seattle, Washington}, c-organization={ACM}, key={ACM}, crossrefonly=1, source={http://theory.lcs.mit.edu/~dmjones/STOC/stoc.bib} } @InProceedings{BroderS87, title={On the Second Eigenvalue of Random Regular Graphs (Preliminary Version)}, author={Broder, Andrei and Shamir, Eli}, pages={286--294}, crossref={FOCS28}, source={http://theory.lcs.mit.edu/~dmjones/FOCS/focs.bib} } @Proceedings{FOCS28, title={28th Annual Symposium on Foundations of Computer Science}, booktitle={28th Annual Symposium on Foundations of Computer Science}, month={12--14 } # oct, year=1987, address={Los Angeles, California}, organization={IEEE}, crossrefonly=1, source={http://theory.lcs.mit.edu/~dmjones/FOCS/focs.bib} } @string{jacm={Journal of the ACM}} @Article{Kahale95, title={Eigenvalues and Expansion of Regular Graphs}, author={Nabil Kahale}, pages={1091--1106}, area={Graph Theory and Combinatorial Structures}, journal=jacm, month=sep, year=1995, volume=42, number=5, general-terms={Algorithms, Theory}, keywords={Eigenvalues, expander graphs, induced subgraphs, load balancing, Ramanujan graphs, random walks, selection networks}, cr-categories={F.2.2; G.2.2}, preliminary={FOCS::Kahale1991, FOCS::Kahale1992}, source={http://theory.lcs.mit.edu/~jacm/jacm.bib} } @Article{AjtaiKoSz83, AUTHOR = {Mikl{\'o}s Ajtai and J{\'a}nos Koml{\'o}s and Endre Szemer{\'e}di}, TITLE = {Sorting in $c\,{\rm log}\,n$ parallel steps}, JOURNAL = {Combinatorica}, FJOURNAL = {Combinatorica. An International Journal of the J{\'a}nos Bolyai Mathematical Society}, VOLUME = {3}, YEAR = {1983}, NUMBER = {1}, PAGES = {1--19}, ISSN = {0209-9683}, CODEN = {COMBDI}, MRCLASS = {68P10}, MRNUMBER = {85d:68017}, MRREVR = {Ernst-Erich Doberkat}, } @article{Urquhart87, AUTHOR = {Urquhart, Alasdair}, TITLE = {Hard examples for resolution}, JOURNAL = {Journal of the ACM}, FJOURNAL = {Journal of the Association for Computing Machinery}, VOLUME = {34}, YEAR = {1987}, NUMBER = {1}, PAGES = {209--219}, ISSN = {0004-5411}, CODEN = {JACOAH}, MRCLASS = {68Q25 (03B05 03B35 03D15 68R10 68T15)}, MRNUMBER = {89e:68056}, MRREVR = {Alexander Leitsch}, } @InCollection{Valiant77, author = {Valiant, Leslie G.}, title = {Graph-theoretic arguments in low-level complexity}, booktitle = {Mathematical foundations of computer science (Proc. Sixth Sympos., Tatransk{\'a} Lomnica, 1977)}, OPTcrossref = {}, OPTkey = {}, pages = {162--176. Lecture Notes in Comput. Sci., Vol. 53}, publisher = {Springer}, year = {1977}, OPTeditor = {}, OPTvolume = {}, OPTnumber = {}, OPTseries = {}, OPTtype = {}, OPTchapter = {}, address = {Berlin}, OPTedition = {}, OPTmonth = {}, OPTnote = {}, OPTannote = {} } @InProceedings{ImpagliazzoNiWi94, title={Pseudorandomness for Network Algorithms}, author={Russell Impagliazzo and Noam Nisan and Avi Wigderson}, pages={356--364}, crossref={STOC26}, source={http://theory.lcs.mit.edu/~dmjones/STOC/stoc.bib} } @Proceedings{STOC26, title={Proceedings of the Twenty-Sixth Annual ACM Symposium on the Theory of Computing}, booktitle={Proceedings of the Twenty-Sixth Annual ACM Symposium on the Theory of Computing}, month={23--25 } # may, year=1994, address={Montr{\'e}al, Qu{\'e}bec, Canada}, c-organization={ACM}, key={ACM}, crossrefonly=1, source={http://theory.lcs.mit.edu/~dmjones/STOC/stoc.bib} } @InProceedings{GoldreichImLeVeZu90, title={Security Preserving Amplification of Hardness}, author={Goldreich, Oded and Impagliazzo, Russell and Levin, Leonid and Venkatesan, Ramarathnam and Zuckerman, David}, pages={318--326}, crossref={FOCS31a}, source={http://theory.lcs.mit.edu/~dmjones/FOCS/focs.bib} } @Proceedings{FOCS31a, title={31st Annual Symposium on Foundations of Computer Science}, booktitle={31st Annual Symposium on Foundations of Computer Science}, volume={I}, month={22--24 } # oct, year=1990, address={St. Louis, Missouri}, organization={IEEE}, crossrefonly=1, source={http://theory.lcs.mit.edu/~dmjones/FOCS/focs.bib} } @Article{NaorNa93, title={Small-Bias Probability Spaces: Efficient Constructions and Applications}, author={Joseph Naor and Moni Naor}, pages={838--856}, journal=sicomp, year=1993, month=aug, volume=22, number=4, source={http://theory.lcs.mit.edu/~dmjones/hbp/sicomp/sicomp.bib} } } @InProceedings{KarpPiSi85, author = {Richard Karp and Nicholas Pippenger and Michael Sipser}, title = {A time-randomness tradeoff}, booktitle = {{AMS} Conference on Probabilistic Computational Complexity}, OPTcrossref = {}, OPTkey = {}, OPTpages = {}, year = {1985}, OPTeditor = {}, OPTvolume = {}, OPTnumber = {}, OPTseries = {}, address = {Durham, New Hampshire}, OPTmonth = {}, OPTorganization = {}, OPTpublisher = {}, OPTnote = {}, OPTannote = {} } @article {Spielman96, AUTHOR = {Spielman, Daniel A.}, TITLE = {Linear-time encodable and decodable error-correcting codes}, NOTE = {}, JOURNAL = {IEEE Trans. Inform. Theory}, FJOURNAL = {Institute of Electrical and Electronics Engineers. Transactions on Information Theory}, VOLUME = {42}, YEAR = {1996}, NUMBER = {6, part 1}, PAGES = {1723--1731}, ISSN = {0018-9448}, CODEN = {IETTAW}, MRCLASS = {94B05 (68Q25)}, MRNUMBER = {98g:94034}, } @InProceedings{Pinsker73, author = {M. Pinsker}, title = {On the Complexity of a Concentrator}, booktitle = {7th Annual Teletraffic Conference}, OPTcrossref = {}, OPTkey = {}, pages = {318/1--318/4}, year = {1973}, OPTeditor = {}, OPTvolume = {}, OPTnumber = {}, OPTseries = {}, address = {Stockholm}, OPTmonth = {}, OPTorganization = {}, OPTpublisher = {}, OPTnote = {}, OPTannote = {} } @article {Alon86, AUTHOR = {Noga Alon}, TITLE = {Eigenvalues and expanders}, JOURNAL = {Combinatorica}, FJOURNAL = {Combinatorica. An International Journal of the J{\'a}nos Bolyai Mathematical Society}, VOLUME = {6}, YEAR = {1986}, NUMBER = {2}, PAGES = {83--96}, ISSN = {0209-9683}, CODEN = {COMBDI}, MRCLASS = {05C50}, MRNUMBER = {88e:05077}, MRREVR = {Claude Benzaken}, } @article{Margulis73, AUTHOR = {Margulis, G. A.}, TITLE = {Explicit constructions of expanders}, JOURNAL = {Problemy Pereda{\v c}i Informacii}, VOLUME = {9}, YEAR = {1973}, NUMBER = {4}, PAGES = {71--80}, MRCLASS = {94A15 (22E45)}, MRNUMBER = {58 #4643}, MRREVR = {J. S. Joel}, } @article {Margulis88, AUTHOR = {Margulis, G. A.}, TITLE = {Explicit group-theoretic constructions of combinatorial schemes and their applications in the construction of expanders and concentrators}, JOURNAL = {Problemy Peredachi Informatsii}, FJOURNAL = {Akademiya Nauk SSSR. Institut Problem Peredachi Informatsii Akademii Nauk SSSR. Problemy Peredachi Informatsii}, VOLUME = {24}, YEAR = {1988}, NUMBER = {1}, PAGES = {51--60}, ISSN = {0555-2923}, MRCLASS = {68R10 (05C99 94A15)}, MRNUMBER = {89f:68054}, MRREVR = {Mirko K{\v{r}}iv{\'a}nek}, } @Article{GabberGa81, title={Explicit Constructions of Linear-Sized Superconcentrators}, author={Ofer Gabber and Zvi Galil}, pages={407--420}, journal=jcss, year=1981, month=jun, volume=22, number=3, preliminary={FOCS::GabberG1979}, source={http://theory.lcs.mit.edu/~dmjones/hbp/jcss/jcss.bib} } @article {AlonGaMi87, AUTHOR = {Alon, N. and Galil, Z. and Milman, V. D.}, TITLE = {Better expanders and superconcentrators}, JOURNAL = {J. Algorithms}, FJOURNAL = {Journal of Algorithms}, VOLUME = {8}, YEAR = {1987}, NUMBER = {3}, PAGES = {337--347}, ISSN = {0196-6774}, CODEN = {JOALDV}, MRCLASS = {68Q20 (05C75 68R10)}, MRNUMBER = {89f:68023}, } @InProceedings{AlonMi84, title={Eigenvalues, Expanders and Superconcentrators (Extended Abstract)}, author={Alon, Noga and Milman, V. D.}, pages={320--322}, crossref={FOCS25}, source={http://theory.lcs.mit.edu/~dmjones/FOCS/focs.bib} } @Proceedings{FOCS25, title={25th Annual Symposium on Foundations of Computer Science}, booktitle={25th Annual Symposium on Foundations of Computer Science}, month={24--26 } # oct, year=1984, address={Singer Island, Florida}, organization={IEEE}, crossrefonly=1, source={http://theory.lcs.mit.edu/~dmjones/FOCS/focs.bib} } @article {JimboMa87, AUTHOR = {Shuji Jimbo and Akira Maruoka}, TITLE = {Expanders obtained from affine transformations}, JOURNAL = {Combinatorica}, FJOURNAL = {Combinatorica. An International Journal of the J{\'a}nos Bolyai Mathematical Society}, VOLUME = {7}, YEAR = {1987}, NUMBER = {4}, PAGES = {343--355}, ISSN = {0209-9683}, CODEN = {COMBDI}, MRCLASS = {68R10 (05C99)}, MRNUMBER = {89d:68071}, MRREVR = {Mirko K{\v{r}}iv{\'a}nek}, } @article {LubotzkyPhSa88, AUTHOR = {Lubotzky, A. and Phillips, R. and Sarnak, P.}, TITLE = {Ramanujan graphs}, JOURNAL = {Combinatorica}, FJOURNAL = {Combinatorica. An International Journal of the J{\'a}nos Bolyai Mathematical Society}, VOLUME = {8}, YEAR = {1988}, NUMBER = {3}, PAGES = {261--277}, ISSN = {0209-9683}, CODEN = {COMBDI}, MRCLASS = {05C75 (05C25 05C50)}, MRNUMBER = {89m:05099}, MRREVR = {David Riley Witte}, } @article {Ajtai94, AUTHOR = {Ajtai, M.}, TITLE = {Recursive construction for $3$-regular expanders}, JOURNAL = {Combinatorica}, FJOURNAL = {Combinatorica. An International Journal on Combinatorics and the Theory of Computing}, VOLUME = {14}, YEAR = {1994}, NUMBER = {4}, PAGES = {379--416}, ISSN = {0209-9683}, CODEN = {COMBDI}, MRCLASS = {05C38 (05C85)}, MRNUMBER = {95m:05141}, MRREVR = {Marek Kubale}, } @article {AlonMi85, AUTHOR = {Alon, N. and Milman, V. D.}, TITLE = {$\lambda\sb 1,$ isoperimetric inequalities for graphs, and superconcentrators}, JOURNAL = {J. Combin. Theory Ser. B}, FJOURNAL = {Journal of Combinatorial Theory. Series B}, VOLUME = {38}, YEAR = {1985}, NUMBER = {1}, PAGES = {73--88}, ISSN = {0095-8956}, CODEN = {JCBTB8}, MRCLASS = {05C50}, MRNUMBER = {87b:05092}, } @Article{Tanner84, author = {Michael R. Tanner}, title = {Explicit Concentrators from Generalized $N$-gons}, journal = {SIAM Journal on Algebraic Discrete Methods}, year = {1984}, OPTkey = {}, volume = {5}, number = {3}, pages = {287--293}, OPTmonth = {}, OPTnote = {}, OPTannote = {} } @InProceedings{BroderSh87, title={On the Second Eigenvalue of Random Regular Graphs (Preliminary Version)}, author={Broder, Andrei and Shamir, Eli}, pages={286--294}, crossref={FOCS28}, source={http://theory.lcs.mit.edu/~dmjones/FOCS/focs.bib} } @Proceedings{FOCS28, title={28th Annual Symposium on Foundations of Computer Science}, booktitle={28th Annual Symposium on Foundations of Computer Science}, month={12--14 } # oct, year=1987, address={Los Angeles, California}, organization={IEEE}, crossrefonly=1, source={http://theory.lcs.mit.edu/~dmjones/FOCS/focs.bib} } @article {Friedman91, AUTHOR = {Friedman, Joel}, TITLE = {On the second eigenvalue and random walks in random $d$-regular graphs}, JOURNAL = {Combinatorica}, FJOURNAL = {Combinatorica. An International Journal on Combinatorics and the Theory of Computing}, VOLUME = {11}, YEAR = {1991}, NUMBER = {4}, PAGES = {331--362}, ISSN = {0209-9683}, CODEN = {COMBDI}, MRCLASS = {05C80 (05C50)}, MRNUMBER = {93i:05115}, MRREVR = {Lane Clark}, } @article {Nilli91, AUTHOR = {Nilli, A.}, TITLE = {On the second eigenvalue of a graph}, JOURNAL = {Discrete Math.}, FJOURNAL = {Discrete Mathematics}, VOLUME = {91}, YEAR = {1991}, NUMBER = {2}, PAGES = {207--210}, ISSN = {0012-365X}, CODEN = {DSMHA4}, MRCLASS = {05C50}, MRNUMBER = {92j:05124}, MRREVR = {Wan Di Wei}, } @string{jcomp = {Journal of Complexity}} @Article{ChorGo89, title={On the Power of Two-Point Based Sampling}, author={Benny Chor and Oded Goldreich}, pages={96--106}, journal=jcomp, year=1989, month=mar, volume=5, number=1, source={http://theory.lcs.mit.edu/~dmjones/hbp/jcomp/jcomp.bib} } @InProceedings{CohenWi89, title={Dispersers, Deterministic Amplification, and Weak Random Sources (Extended Abstract)}, author={Cohen, Aviad and Wigderson, Avi}, pages={14--19}, crossref={FOCS30}, source={http://theory.lcs.mit.edu/~dmjones/FOCS/focs.bib} } @InProceedings{ImpagliazzoZu89, title={How to Recycle Random Bits}, author={Impagliazzo, Russell and Zuckerman, David}, pages={248--253}, crossref={FOCS30}, source={http://theory.lcs.mit.edu/~dmjones/FOCS/focs.bib} } @Proceedings{FOCS30, title={30th Annual Symposium on Foundations of Computer Science}, booktitle={30th Annual Symposium on Foundations of Computer Science}, month={30 } # oct # {--1 } # nov, year=1989, address={Research Triangle Park, North Carolina}, organization={IEEE}, crossrefonly=1, source={http://theory.lcs.mit.edu/~dmjones/FOCS/focs.bib} } @article {Blum86, AUTHOR = {Blum, M.}, TITLE = {Independent unbiased coin flips from a correlated biased source---a finite state {M}arkov chain}, NOTE = {Theory of computing (Singer Island, Fla., 1984)}, JOURNAL = {Combinatorica}, FJOURNAL = {Combinatorica. An International Journal of the J{\'a}nos Bolyai Mathematical Society}, VOLUME = {6}, YEAR = {1986}, NUMBER = {2}, PAGES = {97--108}, ISSN = {0209-9683}, CODEN = {COMBDI}, MRCLASS = {60J10 (68Q20 90D99)}, MRNUMBER = {88e:60079}, MRREVR = {Luc P. Devroye}, } @InProceedings{AjtaiKoSz87, title={Deterministic Simulation in {LOGSPACE}}, author={Ajtai, Mikl{\'o}s and Koml{\'o}s, J{\'a}nos and Szemer{\'e}di, E.}, pages={132--140}, crossref={STOC19}, source={http://theory.lcs.mit.edu/~dmjones/STOC/stoc.bib} } @Proceedings{STOC19, title={Proceedings of the Nineteenth Annual ACM Symposium on Theory of Computing}, booktitle={Proceedings of the Nineteenth Annual ACM Symposium on Theory of Computing}, month={25--27 } # may, year=1987, address={New York City}, c-organization={ACM}, key={ACM}, crossrefonly=1, source={http://theory.lcs.mit.edu/~dmjones/STOC/stoc.bib} } @InProceedings{BellareRo94, title={Randomness-Efficient Oblivious Sampling}, author={Mihir Bellare and John Rompel}, pages={276--287}, crossref={FOCS35}, source={http://theory.lcs.mit.edu/~dmjones/FOCS/focs.bib} } @Proceedings{FOCS35, title={35th Annual Symposium on Foundations of Computer Science}, booktitle={35th Annual Symposium on Foundations of Computer Science}, month={20--22 } # nov, year=1994, address={Santa Fe, New Mexico}, organization={IEEE}, crossrefonly=1, source={http://theory.lcs.mit.edu/~dmjones/FOCS/focs.bib} } @article {HastadImLeLu99, AUTHOR = {H{\aa}stad, Johan and Impagliazzo, Russell and Levin, Leonid A. and Luby, Michael}, TITLE = {A pseudorandom generator from any one-way function}, JOURNAL = {SIAM J. Comput.}, FJOURNAL = {SIAM Journal on Computing}, VOLUME = {28}, YEAR = {1999}, NUMBER = {4}, PAGES = {1364--1396 (electronic)}, ISSN = {1095-7111}, MRCLASS = {65C10 (68P25 68Q25 94A60)}, MRNUMBER = {2000b:65010}, MRREVR = {Francesco Fabris}, } @TechReport{Goldreich97, author = {Oded Goldreich}, title = {A Sample of Samplers: A Computational Perspective on Sampling}, institution = {Electronic Colloquium on Computational Complexity}, year = {1997}, OPTkey = {}, OPTtype = {}, number = {TR97-020}, OPTaddress = {}, month = {May}, OPTnote = {}, OPTannote = {} } @Article{CanettiEvGo95, title={Lower bounds for sampling algorithms for estimating the average}, author={Ran Canetti and Guy Even and Oded Goldreich}, pages={17--25}, journal=ipl, month={13~} # jan, year=1995, volume=53, number=1, source={http://theory.lcs.mit.edu/~dmjones/hbp/ipl/ipl.bib} } @article {Morgenstern94, AUTHOR = {Morgenstern, Moshe}, TITLE = {Existence and explicit constructions of $q+1$ regular {R}amanujan graphs for every prime power $q$}, JOURNAL = {J. Combin. Theory Ser. B}, FJOURNAL = {Journal of Combinatorial Theory. Series B}, VOLUME = {62}, YEAR = {1994}, NUMBER = {1}, PAGES = {44--62}, ISSN = {0095-8956}, CODEN = {JCBTB8}, MRCLASS = {05C35 (05C25)}, MRNUMBER = {95h:05089}, MRREVR = {Marcus du Sautoy}, } @article {Ustimenko97, AUTHOR = {Ustimenko, V. A.}, TITLE = {Ramanujan graphs of a given degree}, JOURNAL = {Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki}, FJOURNAL = {Dopov\={\i} d\={\i}\ Nats\={\i} onal\cprime no{\"\i}\ Akadem\={\i} {\"\i}\ Nauk Ukra{\"\i} ni. Matematika. Prirodoznavstvo. Tekhn\={\i} chn\={\i}\ Nauki}, VOLUME = {1997}, NUMBER = {6}, PAGES = {37--41}, ISSN = {1025-6415}, MRCLASS = {05C75}, MRNUMBER = {98k:05123}, MRREVR = {Perla L. Myers}, YEAR = {1997} } @Article{PippengerYa82, author = {N. Pippenger and A.C. Yao}, title = {Rearrangeable Networks with Limited Depth}, journal = {{SIAM} J. Algebraic and Discrete Methods}, year = {1982}, OPTkey = {}, volume = {3}, OPTnumber = {}, pages = {411--417}, OPTmonth = {}, OPTnote = {}, OPTannote = {} } @InProceedings{RazReingoldVa99b, author = {Ran Raz and Omer Reingold and Salil Vadhan}, title = {Error Reduction for Extractors}, booktitle = {Proceedings of the 40th Annual Symposium on the Foundations of Computer Science}, year = {1999}, organization = {IEEE}, month = {October}, OPTpages = {}, address = {New York, NY}, OPTnote = {} } @InProceedings{FriedmanKaSz89, title={On the Second Eigenvalue in Random Regular Graphs}, author={Friedman, Joel and Kahn, Jeff and Szemer{\'e}di, Endre}, pages={587--598}, crossref={STOC21}, source={http://theory.lcs.mit.edu/~dmjones/STOC/stoc.bib} } @Proceedings{STOC21, title={Proceedings of the Twenty First Annual ACM Symposium on Theory of Computing}, booktitle={Proceedings of the Twenty First Annual ACM Symposium on Theory of Computing}, month={15--17 } # may, year=1989, address={Seattle, Washington}, c-organization={ACM}, key={ACM}, crossrefonly=1, source={http://theory.lcs.mit.edu/~dmjones/STOC/stoc.bib} } @InProceedings{ReingoldShWi00, author = {Omer Reingold and Ronen Shaltiel and Avi Wigderson}, title = {Extracting Randomness via Repeated Condensing}, OPTbooktitle = {}, crossref = {FOCS41}, OPTkey = {}, OPTpages = {}, OPTyear = {}, OPTeditor = {}, OPTvolume = {}, OPTnumber = {}, OPTseries = {}, OPTaddress = {}, OPTmonth = {}, OPTorganization = {}, OPTpublisher = {}, note = {}, OPTannote = {} } @Proceedings{FOCS41, title={41st Annual Symposium on Foundations of Computer Science}, booktitle={41st Annual Symposium on Foundations of Computer Science}, month={12--14 } # nov, year=2000, address={Redondo Beach, California}, c-organization={IEEE}, crossrefonly=1 } @article {AlonGoHaPe92, AUTHOR = {Alon, Noga and Goldreich, Oded and H{\aa}stad, Johan and Peralta, Ren{\'e}}, TITLE = {Simple constructions of almost $k$-wise independent random variables}, JOURNAL = {Random Structures \& Algorithms}, VOLUME = {3}, YEAR = {1992}, NUMBER = {3}, PAGES = {289--304}, ISSN = {1042-9832}, MRCLASS = {94A55 (65C10 68Q30)}, MRNUMBER = {93k:94006a}, } @article {NaorNa93, AUTHOR = {Naor, Joseph and Naor, Moni}, TITLE = {Small-bias probability spaces: efficient constructions and applications}, JOURNAL = {SIAM Journal on Computing}, VOLUME = {22}, YEAR = {1993}, NUMBER = {4}, PAGES = {838--856}, ISSN = {0097-5397}, CODEN = {SMJCAT}, MRCLASS = {68Q25 (60C05 94C15)}, MRNUMBER = {94c:68092}, }