The Density Conjecture for Activated Random Walk
Offered By: Institute for Pure & Applied Mathematics (IPAM) via YouTube
Course Description
Overview
Explore the concept of self-organized criticality in physical systems through this lecture on the density conjecture for activated random walk. Delve into the mathematical modeling of phenomena like earthquakes and avalanches, where energy accumulates slowly and releases suddenly. Examine the key feature of fat-tailed energy release distributions and their polynomial decay. Investigate the activated random walk model as a promising approach to demonstrating self-organized criticality in statistical physics. Learn about various starting configurations for activated random walk on lines and cycles, and discover how they all share a common critical density. Gain insights from the joint work of Christopher Hoffman, Toby Johnson, and Matthew Junge, presented at IPAM's Statistical Mechanics Beyond 2D Workshop.
Syllabus
Christopher Hoffman - The density conjecture for activated random walk - IPAM at UCLA
Taught by
Institute for Pure & Applied Mathematics (IPAM)
Related Courses
Физика как глобальный проектNational Research Nuclear University MEPhI via Coursera Advanced statistical physics
École Polytechnique Fédérale de Lausanne via edX Insights on Gradient-Based Algorithms in High-Dimensional Learning
Simons Institute via YouTube Statistical Physics and Computation in High Dimension
Simons Institute via YouTube Computing Partition Functions, Part I
Simons Institute via YouTube