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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…
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…