How long does it take for internal DLA to forget its initial profile?

DOI10.1007/s00440-018-0880-7zbMath1481.60134arXiv1801.08533OpenAlexW2964212453MaRDI QIDQ2312691

Lionel Levine, Vittoria Silvestri

Publication date: 17 July 2019

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.08533

zbMATH Keywords

mixinglogarithmic fluctuationsinternal DLAcylinder graph

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24)

Related Items (5)

Continuous-time digital search tree and a border aggregation model ⋮ The bi-dimensional directed IDLA forest ⋮ Internal DLA on cylinder graphs: fluctuations and mixing ⋮ From fractals in external DLA to internal DLA on fractals ⋮ How far do activated random walkers spread from a single source?

Cites Work

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• From logarithmic to subdiffusive polynomial fluctuations for internal DLA and related growth models
• Sublogarithmic fluctuations for internal DLA
• Internal DLA in higher dimensions
• Absorbing-state phase transition for driven-dissipative stochastic dynamics on \(\mathbb Z\)
• Internal diffusion limited aggregation
• Internal DLA and the Gaussian free field
• Lower bounds on fluctuations for internal DLA
• Fast Simulation of Large-Scale Growth Models
• Logarithmic fluctuations for internal DLA
• Internal DLA for cylinders
• Random Walk: A Modern Introduction

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