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math.PR2026
Gibbs conditioning, atypical consensus and splitting Gibbs measures on random regular graphs
I-Hsun Chen, Ivan Lee, Kavita Ramanan +1
Given n independent Bernoulli(p) random variables X_i, i = 1, ..., n, representing the opinions of individuals connected by an underlying random k-regular graph G_n on {1, ..., n},…
math.PR2019
Large Time Behaviour and the Second Eigenvalue Problem for Finite State Mean-Field Interacting Particle Systems
Sarath Yasodharan, Rajesh Sundaresan
This article examines large time behaviour of finite state mean-field interacting particle systems. Our first main result is a sharp estimate (in the exponential scale) on the time…