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math.PR2025
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
Last passage percolation and limit theorems in Barak-ErdÅs directed random graphs and related models
Sergey Foss, Takis Konstantopoulos, Bastien Mallein +1
We consider directed random graphs, the prototype of which being the Barak-ErdÅs graph , and study the way that long (or heavy, if weights are present) paths…