11 citations · 43 across the 8 of their papers we have counts for
15 papers
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…
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…
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…
The Limit Shape of the Leaky Abelian Sandpile Model
Ian Alevy, Sevak Mkrtchyan
The leaky abelian sandpile model (Leaky-ASM) is a growth model in which grains of sand start at the origin in and diffuse along the vertices according to a toppl…
Random gap processes and asymptotically complete sequences
Erin Crossen Brown, Sevak Mkrtchyan, Jonathan Pakianathan
We study a process of generating random positive integer weight sequences where the gaps between the weights are i.i.d. positive integer-val…
Turning point processes in plane partitions with periodic weights of arbitrary period
Sevak Mkrtchyan
We study random plane partitions with respect to volume measures with periodic weights of arbitrarily high period. We show that near the vertical boundary the system develops up to…