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math.PR2021
Negative correlation of adjacent Busemann increments
Ian Alevy, Arjun Krishnan
We consider i.i.d. last-passage percolation on with weights having distribution and time-constant . We provide an explicit condition on the large deviation…
math.PR2020
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…