Scaling limits of external multi-particle DLA on the plane and the supercooled Stefan problem

DOI10.1214/22-aihp1330arXiv2102.09040OpenAlexW3131628473MaRDI QIDQ6127312

Mykhaylo Shkolnikov, Xīlíng Zhāng, Sergey Nadtochiy

Publication date: 12 April 2024

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.09040

zbMATH Keywords

scaling limitPainlevé-Kuratowski convergencesupercooled Stefan problemprobabilistic formulationcrossing property of planar Brownian motionmulti-particle diffusion-limited aggregation

Mathematics Subject Classification ID

Brownian motion (60J65) Stefan problems, phase changes, etc. (80A22) Degree, winding number (55M25) PDEs with randomness, stochastic partial differential equations (35R60) Free boundary problems for PDEs (35R35) Weak solutions to PDEs (35D30) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)

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