A deterministic walk on the randomly oriented Manhattan lattice

DOI10.1214/19-EJP385zbMath1427.60213arXiv1904.12751OpenAlexW2992652432MaRDI QIDQ2279333

Laurent Tournier, Kais Hamza, Andrea Collevecchio

Publication date: 12 December 2019

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

Full work available at URL: https://arxiv.org/abs/1904.12751

zbMATH Keywords

dependent percolationdeterministic walk in random environment

Mathematics Subject Classification ID

Processes in random environments (60K37) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

Cites Work

• Unnamed Item
• Lower bound for the escape probability in the Lorentz mirror model on \(\mathbb{Z}^{2}\)
• Corner percolation on \(\mathbb Z^{2}\) and the square root of 17
• A functional limit theorem for a 2D-random walk with dependent marginals
• Random walk on the randomly-oriented Manhattan lattice
• Critical percolation exploration path and \(\mathrm{SLE}_{6}\): a proof of convergence
• Probability on Trees and Networks
• Transient Random Walks on 2D-Oriented Lattices

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