English

Active Phase for the Stochastic Sandpile on Z

Probability 2022-12-19 v1 Mathematical Physics math.MP

Abstract

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.

Cite

@article{arxiv.2212.08293,
  title  = {Active Phase for the Stochastic Sandpile on Z},
  author = {Christopher Hoffman and Yiping Hu and Jacob Richey and Douglas Rizzolo},
  journal= {arXiv preprint arXiv:2212.08293},
  year   = {2022}
}

Comments

44 pages

R2 v1 2026-06-28T07:38:22.225Z