Sojourns in Probability Theory and Statistical Physics - II -- Brownian Web and Percolation, A Festschrift for Charles M. Newman PDF
Preview Sojourns in Probability Theory and Statistical Physics - II -- Brownian Web and Percolation, A Festschrift for Charles M. Newman
Springer Proceedings in Mathematics & Statistics Vladas Sidoravicius Editor Sojourns in Probability Theory and Statistical Physics - II Springer Proceedings in Mathematics & Statistics Volume 299 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 - II Brownian Web and Percolation, 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 ISBN978-981-15-0297-2 ISBN978-981-15-0298-9 (eBook) https://doi.org/10.1007/978-981-15-0298-9 MathematicsSubjectClassification(2010): 60-XX,82-XX,60J65,82B43 ©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 Nautsense,apaintingbySerenaNewman,Buzios,Brazil,August2010 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 Differential Geometry for Model Independent Analysis of Images and Other Non-Euclidean Data: Recent Developments. . . . . . . . . . . . . . 1 Rabi Bhattacharya and Lizhen Lin Conformal Measure Ensembles for Percolation and the FK–Ising Model. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 Federico Camia, René Conijn, and Demeter Kiss Stochastic Hydrogeology: Chuck Newman Had a Good Idea About Where to Start. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90 Colin L. Clark and Larry Winter Superlinearity of Geodesic Length in 2D Critical First-Passage Percolation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101 Michael Damron and Pengfei Tang A Note on Schramm’s Locality Conjecture for Random-Cluster Models. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123 Hugo Duminil-Copin and Vincent Tassion Rooted Tree Graphs and the Butcher Group: Combinatorics of Elementary Perturbation Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . 135 William G. Faris A Stronger Topology for the Brownian Web . . . . . . . . . . . . . . . . . . . . . 167 Luiz Renato Fontes FKG (and Other Inequalities) from (Generalized and Approximate) FK Random Cluster Representation (and Iterated Folding). . . . . . . . . . 186 Alberto Gandolfi The Rumor Percolation Model and Its Variations . . . . . . . . . . . . . . . . . 208 Valdivino V. Junior, Fábio P. Machado, and Krishnamurthi Ravishankar ix x Contents Site Percolation on a Disordered Triangulation of the Square Lattice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 228 Leonardo T. Rolla Perturbations of Supercritical Oriented Percolation and Sticky Brownian Webs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 241 Emmanuel Schertzer and Rongfeng Sun
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