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math.PR2022
Active Phase for the Stochastic Sandpile on Z
Christopher Hoffman, Yiping Hu, Jacob Richey +1
We prove that the critical value of the one-dimensional Stochastic Sandpile Model is less than one. This verifies a conjecture of Rolla and Sidoravicius.
math.PR2022
A concentration inequality for the maximum vertex degree in random dissections
Kelvin Rivera-Lopez, Douglas Rizzolo
We obtain a concentration inequality for the maximum degree of a vertex in a uniformly random dissection of a polygon. This resolves a conjecture posed by Curien and Kortchemski in…