S. Athreya

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math.PR2026

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 $R^{d}, d \geq 1$ . This polymer is a solution of…

math.PR2026

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 LÃ©vy diffusions driven by appropriately scaled Brownian motion and $I^\pm$ -stable process (with $1 < I^\pm < 2$ ) in the small noise regime. S…

math.PR2025

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 $Z^{d}$ , where the walk is killed at a rate proportional to the number of traps occupying the same positi…