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Interacting Stochastic Processes on Random Graphs
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- 1 Introduction
- 2 Kavita Ramanan
- 3 About this talk
- 4 Discrete time contact process
- 5 continuous time models
- 6 voter model
- 7 spike train model
- 8 neuronal hox model
- 9 coupled oscillators
- 10 stochastic processes evolving
- 11 questions of interest
- 12 classical limit theorems
- 13 weak convergence
- 14 empirical measures
- 15 Wiener measure
- 16 Weak interactions
- 17 Dense graphs
- 18 Sparse regime
- 19 Challenges in sparse regime
- 20 Local convergence
- 21 Counterexamples
- 22 Autonomous characterization
- 23 Unimodular roots
- 24 Discrete time process
- 25 Goal
