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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 . 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. Supp…