Stationary Harmonic Measure as the Scaling Limit of Truncated Harmonic Measure

zbMath1468.60124arXiv1811.04793MaRDI QIDQ5009814

Eviatar B. Procaccia, Jiayan Ye, Yuan Zhang

Publication date: 6 August 2021

Full work available at URL: https://arxiv.org/abs/1811.04793

zbMATH Keywords

harmonic measurediffusion limited aggregationstationary harmonic measurestationary diffusion limited aggregation

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (6)

Some notes on random walks in two dimensions ⋮ Scaling limit of DLA on a long line segment ⋮ The bi-dimensional directed IDLA forest ⋮ From fractals in external DLA to internal DLA on fractals ⋮ Stationary harmonic measure and DLA in the upper half plane ⋮ Growth of stationary Hastings-Levitov

Cites Work

• Stationary Eden model on Cayley graphs
• Hitting probabilities of random walks on \({\mathbb{Z}}^ d\)
• Parabolic Harnack inequality and estimates of Markov chains on graphs
• The {B}eurling estimate for a class of random walks
• Stationary harmonic measure and DLA in the upper half plane
• Stationary DLA is well defined
• Stretch IDLA
• Random Walk: A Modern Introduction

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