110 citations · 350 across the 44 of their papers we have counts for
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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…
The Erlang Weighted Tree, A New Branching Process
Mehrdad Moharrami, Vijay Subramanian, Mingyan Liu +1
In this paper, we study a new discrete tree and the resulting branching process, which we call the \textbf{E}rlang \textbf{W}eighted \textbf{T}ree(\textbf{EWT}). The EWT appears as…
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…
Simultaneous Small Noise Limit for Singularly Perturbed Slow-Fast Coupled Diffusions
Siva R. Athreya, Vivek S. Borkar, K. Suresh Kumar +1
We consider a simultaneous small noise limit for a singularly perturbed coupled diffusion described by \begin{eqnarray*} dX^{\varepsilon}_t &=& b(X^{\varepsilon}_t, Y^{\varepsilon}…
Belief propagation for optimal edge cover in the random complete graph
Mustafa Khandwawala, Rajesh Sundaresan
We apply the objective method of Aldous to the problem of finding the minimum-cost edge cover of the complete graph with random independent and identically distributed edge costs.…