Sojourns in Probability Theory and Statistical Physics - III -- Interacting Particle Systems and Random Walks, A Festschrift for Charles M. Newman PDF
Preview Sojourns in Probability Theory and Statistical Physics - III -- Interacting Particle Systems and Random Walks, A Festschrift for Charles M. Newman
Springer Proceedings in Mathematics & Statistics Vladas Sidoravicius Editor Sojourns in Probability Theory and Statistical Physics - III Springer Proceedings in Mathematics & Statistics Volume 300 Springer Proceedings in Mathematics & Statistics This book series features volumes composed of selected contributions from workshops and conferences in all areas of current research in mathematics and statistics, including operation research and optimization. In addition to an overall evaluation of the interest, scientific quality, and timeliness of each proposal at the hands of the publisher, individual contributions are all refereed to the high quality standards of leading journals in the field. Thus, this series provides the research community with well-edited, authoritative reports on developments in the most exciting areas of mathematical and statistical research today. More information about this series at http://www.springer.com/series/10533 Vladas Sidoravicius Editor Sojourns in Probability Theory and Statistical Physics - III Interacting Particle Systems and Random Walks, A Festschrift for Charles M. Newman 123 Editor Vladas Sidoravicius NYU Shanghai Shanghai, China ISSN 2194-1009 ISSN 2194-1017 (electronic) SpringerProceedings in Mathematics& Statistics ISBN978-981-15-0301-6 ISBN978-981-15-0302-3 (eBook) https://doi.org/10.1007/978-981-15-0302-3 MathematicsSubjectClassification(2010): 60-XX,82-XX,60G50,70FXX ©SpringerNatureSingaporePteLtd.2019 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpart of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission orinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilar methodologynowknownorhereafterdeveloped. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfrom therelevantprotectivelawsandregulationsandthereforefreeforgeneraluse. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained hereinorforanyerrorsoromissionsthatmayhavebeenmade.Thepublisherremainsneutralwithregard tojurisdictionalclaimsinpublishedmapsandinstitutionalaffiliations. ThisSpringerimprintispublishedbytheregisteredcompanySpringerNatureSingaporePteLtd. The registered company address is: 152 Beach Road, #21-01/04 Gateway East, Singapore 189721, Singapore PhotobySerenaNewman,Sabah,MalaysianBorneo,July2011 Preface This three-volume set, entitled Sojourns in Probability Theory and Statistical Physics, constitutes a Festschrift for Chuck Newman on the occasion of his 70th birthday. In these coordinated volumes, Chuck’s closest colleagues and collaborators pay tribute to the immense impact he has had on these two deeply intertwined fields of research. The papers published here include original research articles and survey articles, on topics gathered by theme as follows: Volume 1: Spin Glasses and Statistical Mechanics Volume 2: Brownian Web and Percolation Volume 3: Interacting Particle Systems and Random Walks OurcolleagueVladasSidoraviciusconceivedtheideaforthisFestschriftduring theconferenceonProbabilityTheoryandStatisticalPhysicsthatwashostedon25– 27 March 2016 by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai. This conference brought together more than 150 experts to discuss frontier research at the interface between these two fields, and it coincided with Chuck’s70thbirthday.Aftertheconference,VladasapproachedvariousofChuck’s colleagues with invitations to contribute. Papers flowed in during the Fall of 2016 and the Spring of 2017. The Festschrift suffered delays in 2018, and then on 23 May2019,Vladas passedawayunexpectedly.FollowingdiscussionsinJune2019 with NYU Shanghai and Springer Nature, we offered to assume editorial responsibility for bringing the volumes to completion. We gratefully acknowledge Vladas’s investment in these volumes, and we recognisethathispresenceinourcommunityworldwidewillbesorelymissed.We offerourthankstoJuliusDamarackas(NYUShanghai)forhisdetailedpreparation of the articles in these volumes. Chuckhasbeenoneoftheleadersinourprofessionfornearly50years.Hehas worked on a vast range of topics and has collaborated with and inspired at least three generations of mathematicians, sharing with them his deep insights into vii viii Preface mathematics and statistical physics and his views on key developments, always leavened with his acute and captivating sense of humour. We wish him and his family many fruitful years to come. July 2019 Federico Camia Geoffrey Grimmett Frank den Hollander Daniel Stein Contents Random Walk Among Mobile/Immobile Traps: A Short Review. . . . . . 1 Siva Athreya, Alexander Drewitz, and Rongfeng Sun Random Walks in Cooling Random Environments . . . . . . . . . . . . . . . . 23 Luca Avena and Frank den Hollander Constructive Euler Hydrodynamics for One-Dimensional Attractive Particle Systems. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 Christophe Bahadoran, Hervé Guiol, Krishnamurthi Ravishankar, and Ellen Saada Scheduling of Non-Colliding Random Walks . . . . . . . . . . . . . . . . . . . . . 90 Riddhipratim Basu, Vladas Sidoravicius, and Allan Sly Self-Avoiding Walks on the UIPQ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 138 Alessandra Caraceni and Nicolas Curien A Max-Type Recursive Model: Some Properties and Open Questions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 166 Xinxing Chen, Bernard Derrida, Yueyun Hu, Mikhail Lifshits, and Zhan Shi Stochastic Duality and Orthogonal Polynomials. . . . . . . . . . . . . . . . . . . 187 Chiara Franceschini and Cristian Giardinà Self-Avoiding Walks and Connective Constants. . . . . . . . . . . . . . . . . . . 215 Geoffrey R. Grimmett and Zhongyang Li Front Propagation and Quasi-Stationary Distributions: Two Faces of the Same Coin . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 242 Pablo Groisman and Matthieu Jonckheere A Monotonicity Property for Once Reinforced Biased Random Walk on Zd . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 255 Mark Holmes and Daniel Kious ix x Contents Velocity Estimates for Symmetric Random Walks at Low Ballistic Disorder . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 274 Clément Laurent, Alejandro F. Ramírez, Christophe Sabot, and Santiago Saglietti Publications of Charles M. Newman.... .... .... .... .... ..... .... 327
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