33 citations · 39 across the 7 of their papers we have counts for
5 papers · 1 filter
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},…
On the large deviation rate function for marked sparse random graphs
Kavita Ramanan, Sarath Yasodharan
We consider (annealed) large deviation principles for component empirical measures of several families of marked sparse random graphs, including (i) uniform graphs on vertices…
A sufficient condition for the quasipotential to be the rate function of the invariant measure of countable-state mean-field interacting particle systems
Sarath Yasodharan, Rajesh Sundaresan
This paper considers the family of invariant measures of Markovian mean-field interacting particle systems on a countably infinite state space and studies its large deviation asymp…
Large deviations of mean-field interacting particle systems in a fast varying environment
Sarath Yasodharan, Rajesh Sundaresan
This paper studies large deviations of a ``fully coupled" finite state mean-field interacting particle system in a fast varying environment. The empirical measure of the particles…
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…