English

Stationary DLA is well defined

Probability 2020-08-26 v1

Abstract

In this paper, we construct an infinite stationary Diffusion Limited Aggregation (SDLA) on the upper half planar lattice, growing from an infinite line, with local growth rate proportional to the stationary harmonic measure. We prove that the SDLA is ergodic with respect to integer left-right translations.

Cite

@article{arxiv.1907.00381,
  title  = {Stationary DLA is well defined},
  author = {Eviatar B. Procaccia and Jiayan Ye and Yuan Zhang},
  journal= {arXiv preprint arXiv:1907.00381},
  year   = {2020}
}

Comments

21 pages

R2 v1 2026-06-23T10:07:52.419Z