(Online minicourse) Activated Random Walks on Z^d
Speaker(s): Leonardo Rolla (University of Warwick)
Time: July 20 - July 29, 2020
Venue: Online
****** This mini-course is part of the THU-PKU-BNU Probability Webinar series. ******
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ABSTRACT
Some stochastic systems are particularly interesting as they exhibit critical behavior without fine-tuning of a parameter, a phenomenon called self-organized criticality. In the context of driven-dissipative steady states, one of the main models is that of Activated Random Walks. Long-range effects intrinsic to the conservative dynamics and lack of a simple algebraic structure cause standard tools and techniques to break down. This makes the mathematical study of this model remarkably challenging. Yet, some exciting progress has been made in the last ten years, with of a framework of tools and methods which is finally becoming more structured. In this mini-course we present the existing results and explain the techniques developed so far.
SCHEDULE
3pm - 5pm Beijing time, July 20, 22, 24, 27, 29 (Mon Wed Fri Mon Wed)
July 20
Tencent: 808 254 867
Zoom: 646 447 42718 (PIN: 350370)
July 22
Tencent: 629 962 219
Zoom: 681 483 43498 (PIN: 333331)
July 24
Tencent: 839 854 739
Zoom: 623 283 99967 (PIN: 582848)
July 27
Tencent: 628 429 272
Zoom: 679 795 91392 (PIN: 788589)
July 29
Tencent: 179 352 499
Zoom: 653 957 61981 (PIN: 649848)
BRIEF BIO
Dr. Leonardo Trivellato Rolla is currently an Associate Professor in the Department of Statistics at University of Warwick. He is also an Associate Professor at the Argentinian National Research Council. He received his Ph.D from the Institute for Pure and Applied Mathematics(IMPA) under Vladas Sidoravicius. His research interests lie in random spatial processes, percolation, and partial systems. His work has appeared in Inventiones Mathematicae,Communications on Pure and Applied Mathematics, The Annals of Probability, Electronic Journal of Probability, SIAM Multiscale Modeling and Simulation, Stochastic Processes and their Applications, Journal of Statistical Physics, among others. Rolla has obtained fellowships from the Foundation Sciences Mathématiques de Paris in 2008 and the Excellence Postdoctorate from IMPA in 2010.
