Random walk on the randomly-oriented Manhattan lattice

DOI10.1214/18-ECP144zbMath1397.82046arXiv1802.01558MaRDI QIDQ1663754

Sean Ledger, Bálint Tóth, Benedek Valkó

Publication date: 23 August 2018

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

Full work available at URL: https://arxiv.org/abs/1802.01558

zbMATH Keywords

random walks in random environmentsuperdiffusivity

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Processes in random environments (60K37) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

Related Items (5)

Anomalous statistics of particle spreading in quenched random velocity field ⋮ Recurrence and windings of two revolving random walks ⋮ Mini-workshop: New horizons in motions in random media. Abstracts from the mini-workshop held February 26 -- March 4, 2023 ⋮ A deterministic walk on the randomly oriented Manhattan lattice ⋮ The mean square displacement of random walk on the Manhattan lattice

Cites Work

• Diffusivity bounds for 1D Brownian polymers
• Superdiffusive bounds on self-repellent Brownian polymers and diffusion in the curl of the Gaussian free field in \(d=2\)
• Central limit theorem for random walks in doubly stochastic random environment: \(\mathcal{H}_{-1}\) suffices
• A functional limit theorem for a 2D-random walk with dependent marginals
• Superdiffusivity of asymmetric exclusion process in dimensions one and two
• On the superdiffusive behavior of passive tracer with a Gaussian drift
• Central limit theorems for additive functionals of the simple exclusion process.
• \((\log t)^{2/3}\) law of the two-dimensional asymmetric simple exclusion process
• Transient Random Walks on 2D-Oriented Lattices

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