Sojourns in Probability Theory and Statistical Physics - III -- Interacting Particle Systems and Random Walks, A Festschrift for Charles M. Newman

350 Pages·2019·5.84 MB·English

by  Sidoravicius, Vladas

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
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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
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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