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arXiv · 1907.00381

Stationary DLA is well defined

Eviatar B. Procaccia·Jiayan Ye·Yuan Zhang
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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.

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Eviatar B. Procaccia, Jiayan Ye, Yuan Zhang. 2019-06-30. Stationary DLA is well defined. https://doi.org/10.1007/s10955-020-02619-8

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