1 citations · 2 across the 6 of their papers we have counts for
6 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},…
A case study of the long-time behavior of the Gaussian local-field equation
Kevin Hu, Kavita Ramanan
For any integer , the -local-field equation (-LFE) characterizes the limit of the neighborhood path empirical measure of interacting diffusions on -regular random…
An H-theorem for a conditional McKean-Vlasov process related to interacting diffusions on regular trees
Kevin Hu, Kavita Ramanan
We study the long-time behavior of the -Markov local-field equation (-MLFE), which is a conditional McKean-Vlasov equation associated with interacting diffusions on the -r…
A Mimicking Theorem for processes driven by fractional Brownian motion
Kevin Hu, Kavita Ramanan, William Salkeld
In this paper, we prove a mimicking theorem for stochastic processes with an additive Gaussian noise along with some entropy and transport type estimates. As an application of thes…
The fundamental martingale with applications to Markov Random Fields
Kevin Hu, Kavita Ramanan, William Salkeld
We consider collections of SDEs indexed by a graph. Each SDE is driven by an additive Gaussian noise and each drift term interacts with all other SDEs within the graph neighbourhoo…
Exact description of limiting SIR and SEIR dynamics on locally tree-like graphs
Juniper Cocomello, Kavita Ramanan
We study the Susceptible-Infected-Recovered (SIR) and the Susceptible-Exposed-Infected-Recovered (SEIR) models of epidemics, with possibly time-varying rates, on a class of network…