2 citations · 2 across the 4 of their papers we have counts for
5 papers
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…
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…
Regular Polygon Surfaces
Ian M. Alevy
A is a surface graph together with a continuous map from into Euclidean 3-space which maps faces to regular Euclidean polygo…
A Family of Minimal and Renormalizable Rectangle Exchange Maps
Ian Alevy, Richard Kenyon, Ren Yi
A domain exchange map (DEM) is a dynamical system defined on a smooth Jordan domain which is a piecewise translation. We explain how to use cut-and-project sets to construct minima…
Polygonal Bicycle Paths and the Darboux Transformation
I. Alevy, E. Tsukerman
A Bicycle -gon is an equilateral -gon whose diagonals are of equal length. In this paper we consider periodic bicycle -paths, which are a natural variation in…