---------- Forwarded message --------- Da: Ivan Corwin <ivan.corwin@gmail.com> Date: mer 21 ott 2020 alle ore 15:50 Subject: [owps] One World Probability Seminar Thursday October 22, 2020 To: <owps@lists.bath.ac.uk> One World Probability Seminar Thursday October 22, 2020: Tomorrow's speaker in the One World Probability Seminar is (Note: all times are in UTC) ------------------------------------------------ (14:00-15:00 UTC) Lionel Levine (Cornell University) Abelian Sandpiles and Abelian Networks. Abstract: The Abelian Networks are a class of interacting particle systems whose final state does not depend on the order of interactions. A revealing example is the Abelian Sandpile of Bak-Tang-Wiesenfeld, a toy model of sand cascading down a pile. This model has certain “non-universal” features, and we'll identify "slow mixing" as the culprit: The threshold state of the sandpile retains some memory of its initial state. Then we’ll explore the design space of Abelian Networks in search of a model with more universal features. A promising candidate is Activated Random Walk. (15:00-16:00 UTC) Leonardo Rolla (NYU-Shanghai, IMAS-Conicet, Warwick) Abstract: In this second talk, we will discuss one specific type of stochastic Abelian network called Activated Random Walks. Long-range effects intrinsic to its conservative dynamics and lack of a simple algebraic structure cause standard tools and techniques to break down, which makes the mathematical study of this model remarkably challenging. Yet, some exciting progress has been made in the last ten years, with the development of a framework of tools and methods which is finally becoming more structured. We will briefly recall the existing results and open problems, then focus on recent progress for one-dimensional symmetric walks with at density (Basu-Ganguly-Hoffman 2018), enhancement and continuity of the critical curve (Taggi 2020), scaling limit at criticality (Cabezas-myself 2020), symmetric walks at high sleep rate (Hoffman-Richey-myself 2020), and linear growth (Levine-Silvestri 2020). ------------------------------------------------ The zoom link will appear the day before on the OWPS website: https://www.owprobability.org/one-world-probability-seminar <https://eur01.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.owprobability.org%2Fone-world-probability-seminar&data=04%7C01%7Cowps%40lists.bath.ac.uk%7C53d305c88c504ef5e8cb08d875c82d93%7C377e3d224ea1422db0ad8fcc89406b9e%7C0%7C0%7C637388849908020460%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=uo2imbxHO55qeChD55QbOuuRjBMnf4M6Kapt6m6OJZ4%3D&reserved=0> It can also be directly accessed through the link below: https://impa-br.zoom.us/j/96520705847?pwd=MFJtMXIzVUFmN0w0aVZ3QktIZnBpUT09 <https://eur01.safelinks.protection.outlook.com/?url=https%3A%2F%2Fimpa-br.zoom.us%2Fj%2F96520705847%3Fpwd%3DMFJtMXIzVUFmN0w0aVZ3QktIZnBpUT09&data=04%7C01%7Cowps%40lists.bath.ac.uk%7C53d305c88c504ef5e8cb08d875c82d93%7C377e3d224ea1422db0ad8fcc89406b9e%7C0%7C0%7C637388849908030412%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=IMxHV1aBDb4%2B9HLhNSqB2zXn5AEC5x7XjqG4CaRlYgM%3D&reserved=0> Please feel free to circulate this email. We hope to see you all tomorrow! One World Probability Team -- ************************************************* Prof. Alessandra Faggionato http://www1.mat.uniroma1.it/~faggionato/ Department of Mathematics University "La Sapienza" Piazzale Aldo Moro, 5 00185 - Rome Office 5, Phone (0039) 06 49913252 *************************************************