3 papers
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 . 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 Lévy diffusions driven by appropriately scaled Brownian motion and -stable process (with ) 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 , where the walk is killed at a rate proportional to the number of traps occupying the same positi…