A rotor configuration with maximum escape rate

DOI10.1214/20-ECP298zbMath1440.05183arXiv1810.12784OpenAlexW2899129932MaRDI QIDQ2183118

Swee Hong Chan

Publication date: 26 May 2020

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.12784

zbMATH Keywords

rotor-routerrotor walkescape ratetransience density

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Random walks on graphs (05C81)

Related Items

Recurrence of horizontal-vertical walks, Infinite-step stationarity of rotor walk and the wired spanning forest

Cites Work

• Internal aggregation models on comb lattices
• Rotor-router aggregation on the comb
• The rotor-router model on regular trees
• Exponentiation and Euler measure
• Probability on Trees and Networks
• Rotor Walks and Markov Chains
• Rotor Walks on General Trees
• Escape Rates for Rotor Walks in $\mathbb{Z}^d$
• Rotor Walks on Transient Graphs and the Wired Spanning Forest