Proceedings of the International Congress of Mathematicians volume 4: ICM-2014 [Seoul, August 13-21, 2014 Korea] PDF
Preview Proceedings of the International Congress of Mathematicians volume 4: ICM-2014 [Seoul, August 13-21, 2014 Korea]
Proceedings of the International Congress of Mathematicians Seoul 2014 Proceedings of the International Congress of Mathematicians Seoul 2014 VOLUME IV Invited Lectures Editors Sun Young Jang Young Rock Kim Dae-Woong Lee Ikkwon Yie Editors SunYoungJang,UniversityofUlsan YoungRockKim,HankukUniversityofForeignStudies Dae-WoongLee,ChonbukNationalUniversity IkkwonYie,InhaUniversity TechnicalEditors YoungRockKim,TheKoreanTEXSociety HyunWooKwon,TheKoreanTEXSociety ProceedingsoftheInternationalCongressofMathematicians August13–21,2014,Seoul,Korea Publishedby KYUNGMOONSACo.Ltd. 174,Wausan-roMapo-guSeoul,Korea Tel:+82-2-332-2004 Fax:+82-2-336-5193 E-mail:[email protected] Homepage:www.kyungmoon.com © 2014bySEOULICM2014OrganizingCommittee All rights reserved. No part of the material protected by the copyright herein may be reproduced ortransmittedinanyformorbyanymeans, electronicormechanical, including, butnotlimitedto, photocopying,recording,orbyanyinformationstorageandretrievalsystem,withoutexpresswritten permissionfromthecopyrightowner. ISBN978-89-6105-807-0 ISBN978-89-6105-803-2(set) PrintedinKorea Contents 12. Probability and Statistics SouravChatterjee AshortsurveyofStein’smethod 1 GeoffreyR.Grimmett Criticality,universality,andisoradiality 25 MartinHairer SingularstochasticPDEs 49 TakashiKumagai Anomalousrandomwalksanddiffusions: Fromfractalstorandommedia 75 KennethLangeandKevinL.Keys Theproximaldistancealgorithm 95 MichelLedoux Heatflows,geometricandfunctionalinequalities 117 RussellLyons Determinantalprobability: Basicpropertiesandconjectures 137 TerryLyons Roughpaths,signaturesandthemodellingoffunctionsonstreams 163 TimoSeppäläinen Variationalformulasfordirectedpolymerandpercolationmodels 185 VladasSidoravicius CriticalityandPhaseTransitions: fivefavoritepieces 199 AlexandreB.Tsybakov Aggregationandminimaxoptimalityinhigh-dimensionalestimation 225 BálintVirág Operatorlimitsofrandommatrices 247 MartinJ.Wainwright Constrainedformsofstatisticalminimax: Computation,communication, andprivacy 273 13. Combinatorics MariaChudnovsky Coloringgraphswithforbiddeninducedsubgraphs 291 vi Contents DavidConlon Combinatorialtheoremsrelativetoarandomset 303 JacobFox Thegraphregularitymethod: variants,applications, andalternativemethods 329 MichaelKrivelevich Positionalgames 355 DanielaKühnandDerykOsthus Hamiltoncyclesingraphsandhypergraphs: anextremalperspective 381 MarcNoy Randomplanargraphsandbeyond 407 GrigoriOlshanski TheGelfand-TsetlingraphandMarkovprocesses 431 JánosPach Geometricintersectionpatternsandthetheoryoftopologicalgraphs 455 AngelikaSteger Thedeterminismofrandomnessanditsuseincombinatorics 475 VanH.Vu Combinatorialproblemsinrandommatrixtheory 489 14. Mathematical Aspects of Computer Science BoazBarakandDavidSteurer Sum-of-squaresproofsandthequesttowardoptimalalgorithms 509 MarkBraverman Interactiveinformationandcodingtheory 535 AndreiA.Bulatov Countingconstraintsatisfactionproblems 561 JuliaChuzhoy Flows,cutsandintegralroutingingraphs-anapproximation algorithmist’sperspective 585 CraigGentry Computingontheedgeofchaos: Structureandrandomness inencryptedcomputation 609 RyanO’Donnell Socialchoice,computationalcomplexity,Gaussiangeometry, andBooleanfunctions 633 Contents vii RyanWilliams Algorithmsforcircuitsandcircuitsforalgorithms: Connectingthetractableandintractable 659 SergeyYekhanin Codeswithlocaldecodingprocedures 683 15. Numerical Analysis and Scientific Computing RémiAbgrall Onaclassofhighorderschemesforhyperbolicproblems 699 AnnalisaBuffa Splinedifferentialforms 727 YalchinEfendiev Multiscalemodelreductionwithgeneralizedmultiscale finiteelementmethods 749 Chi-WangShu DiscontinuousGalerkinmethodfortime-dependentconvection dominatedpartialdifferentialequations 767 DenisTalay Singularstochasticcomputationalmodels,stochasticanalysis, PDEanalysis,andnumerics 787 Ya-xiangYuan Areviewonsubspacemethodsfornonlinearoptimization 807 16. Control Theory and Optimizaiton FriedrichEisenbrand Recentresultsaroundthediameterofpolyhedra 829 MoniqueLaurent Optimizationoverpolynomials: Selectedtopics 843 AdrianS.Lewis Nonsmoothoptimization: conditioning,convergenceand semi-algebraicmodels 871 LucRobbiano Carlemanestimates,resultsoncontrolandstabilizationfor partialdifferentialequations 897 PierreRouchon Modelsandfeedbackstabilizationofopenquantumsystems 921 JiongminYong Time-inconsistentoptimalcontrolproblems 947 viii Contents 17. Mathematics in Science and Technology WeizhuBao Mathematicalmodelsandnumericalmethodsfor Bose-Einsteincondensation 971 AndreaBraides Discrete-to-continuumvariationalmethodsforLatticesystems 997 EricCancès Mathematicalmodelsandnumericalmethodsfor electronicstructurecalculation 1017 AnnaC.Gilbert Sparseanalysis 1043 MiguelColom,GabrieleFacciolo,MarcLebrun,NicolaPierazzo, MartinRais,Yi-QingWang,andJean-MichelMorel Amathematicalperspectiveofimagedenoising 1061 BarbaraNiethammer Scalinginkineticmean-fieldmodelsforcoarseningphenomena 1087 HinkeM.Osinga Computingglobalinvariantmanifolds: Techniquesandapplications 1101 B.DayaReddy Numericalapproximationofvariationalinequalities arisinginelastoplasticity 1125 AndrewM.Stuart UncertaintyquantificationinBayesianinversion 1145 ThaleiaZariphopoulou Stochasticmodelingandmethodsinoptimalportfolioconstruction 1163 18. Mathematics Education and Popularization of Mathematics Étienne Ghys Theinternetandthepopularizationofmathematics 1187 GünterM.ZieglerandAndreasLoos Teachingandlearning“WhatisMathematics” 1203 19. History of Mathematics QiHan Knowledgeandpower:Asocialhistoryofthetransmissionofmathematics betweenChinaandEuropeduringtheKangxireign(1662-1722) 1217 Contents ix ReinhardSiegmund-Schultze OnehundredyearsaftertheGreatWar(1914–2014): Acenturyofbreakdowns,resumptionsandfundamentalchangesin internationalmathematicalcommunication 1231 DominiqueTournès Mathematicsofengineers: Elementsforanewhistory ofnumericalanalysis 1255 AuthorIndex 1275
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