45 citations · 131 across the 33 of their papers we have counts for
38 papers
Survival of a long random string among hard Poisson traps
Siva Athreya, Mathew Joseph, Carl Mueller
In [AJM26], we gave large-time asymptotic bounds on the annealed survival probability of a moving polymer taking values in . This polymer is a solution of…
Small noise asymptotics for a class of jump-diffusions with heavy tails for large times
Sumith Reddy Anugu, Siva R. Athreya, Vivek S. Borkar
In this work, we investigate positive recurrent Lévy diffusions driven by appropriately scaled Brownian motion and -stable process (with ) in the small noise regime. Supp…
An Invariance Principle for a Random Walk Among Moving Traps via Thermodynamic Formalism
Siva Athreya, Alexander Drewitz, Rongfeng Sun
We consider a random walk among a Poisson cloud of moving traps on , where the walk is killed at a rate proportional to the number of traps occupying the same positi…
Controlled Martingale Problems And Their Markov Mimics
Siva Athreya, Vivek S. Borkar, Nitya Gadhiwala
In this article we prove under suitable assumptions that the marginals of any solution to a relaxed controlled martingale problem on a Polish space can be mimicked by a Markovi…
Path convergence of Markov chains on large graphs
Siva Athreya, Soumik Pal, Raghav Somani +1
We consider two classes of natural stochastic processes on finite unlabeled graphs. These are Euclidean stochastic optimization algorithms on the adjacency matrix of weighted graph…
On a generalisation of the coupon collector problem
Siva Athreya, Satyaki Mukherjee, Soumendu Sundar Mukherjee
We consider a generalisation of the classical coupon collector problem. We define a super-coupon to be any -subset of a universe of coupons. In each round, a random -subs…