Kavita Ramanan

activity

20242026

collaborators

3 papers

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.PR2025

A case study of the long-time behavior of the Gaussian local-field equation

Kevin Hu, Kavita Ramanan

For any integer $I^º \geq 2$ , the $I^º$ -local-field equation ( $I^º$ -LFE) characterizes the limit of the neighborhood path empirical measure of interacting diffusions on $I^º$ -regular ra…

math.PR2024

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 $I^º$ -Markov local-field equation ( $I^º$ -MLFE), which is a conditional McKean-Vlasov equation associated with interacting diffusions on the $Îº…