YoVDO

Interacting Stochastic Processes on Random Graphs

Offered By: Joint Mathematics Meetings via YouTube

Tags

Joint Mathematics Meetings Courses Stochastic Processes Courses Random Graphs Courses

Course Description

Overview

Explore interacting stochastic processes on random graphs in this AAAS-AMS Invited Address from the 2022 Virtual Joint Mathematics Meetings. Delve into discrete time contact processes, continuous time models, voter models, and spike train models. Examine neuronal hox models, coupled oscillators, and the evolution of stochastic processes. Investigate classical limit theorems, weak convergence, empirical measures, and Wiener measure. Analyze weak interactions in dense graphs and sparse regimes, addressing challenges and counterexamples. Study local convergence, autonomous characterization, and unimodular roots in discrete time processes.

Syllabus

Introduction
Kavita Ramanan
About this talk
Discrete time contact process
continuous time models
voter model
spike train model
neuronal hox model
coupled oscillators
stochastic processes evolving
questions of interest
classical limit theorems
weak convergence
empirical measures
Wiener measure
Weak interactions
Dense graphs
Sparse regime
Challenges in sparse regime
Local convergence
Counterexamples
Autonomous characterization
Unimodular roots
Discrete time process
Goal


Taught by

Joint Mathematics Meetings

Related Courses

Теория вероятностей для начинающих
Moscow Institute of Physics and Technology via Coursera
Universality of Random Graphs - Gal Kronenberg
Institute for Advanced Study via YouTube
The Science of Networks - C4 Public Lectures
Santa Fe Institute via YouTube
Optimization of the Sherrington-Kirkpatrick Hamiltonian
IEEE via YouTube
Fast Uniform Generation of Random Graphs with Given Degree Sequences
IEEE via YouTube