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math.PR2026
Random sequential nearest-neighbor coloring on trees
Anne-Laure Basdevant, Arvind Singh
We study a nearest-neighbor coloring process in which vertices are revealed in random order and inherit the color of the closest vertex revealed before them. This model is a discre…
math.PR2024
Freezing in the Infinite-Bin Model
Bastien Mallein, Sanjay Ramassamy, Arvind Singh
The infinite-bin model is a one-dimensional particle system on introduced by Foss and Konstantopoulos in relation with last passage percolation on complete directed ac…
math.PR2024
The local limit of rooted directed animals on the square lattice
Olivier Hénard, Édouard Maurel-Segala, Arvind Singh
We consider the local limit of finite uniformly distributed directed animals on the square lattice viewed from the root. Two constructions of the resulting uniform infinite directe…