4 papers
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…
On cases where Litt's game is fair
Anne-Laure Basdevant, Olivier Hénard, Edouard Maurel-Segala +1
A fair coin is flipped times, and two finite sequences of heads and tails (words) and of the same length are given. Each time the word appears in the sequence of co…
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…
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…