3 papers
math.PR2025
On the phase diagram of the polymer model
Arjun Krishnan, Sevak Mkrtchyan, Scott Neville
In dimensions 3 or larger, it is a classical fact that the directed polymer model has two phases: Brownian behavior at high temperature, and non-Brownian behavior at low temperatur…
math.PR2025
Moment conditions for the asymptotic completeness of iid gap sequences
Vahram Asatryan, Erik Babasyan, Sevak Mkrtchyan
We study conditions under which integer sequences with independent, identically distributed gaps are asymptotically -complete, meaning that every sufficiently large integer can…
math.PR2025
Limit shape of the leaky Abelian sandpile model with multiple layers
Théo Ballu, Cédric Boutillier, Sevak Mkrtchyan +1
In this paper we study a triple generalization of the Leaky Abelian Sandpile Model (LASM) of Alevy and Mkrtchyan, originally analyzed in the case of the square lattice in dimension…