Type transition of simple random walks on randomly directed regular lattices

zbMath1310.60048arXiv1204.5297MaRDI QIDQ5176521

Dimitri Petritis, Massimo Campanino

Publication date: 26 February 2015

Full work available at URL: https://arxiv.org/abs/1204.5297

zbMATH Keywords

Markov chainsrandom environmentsimple random walksrecurrence criteriarandomly directed regular lattices

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Markov renewal processes, semi-Markov processes (60K15) Processes in random environments (60K37)

Related Items (5)

Recurrence and windings of two revolving random walks ⋮ Local limit theorem for a Markov additive process on with a null recurrent internal Markov chain ⋮ Random walk in a stratified independent random environment ⋮ Unnamed Item ⋮ Transient and slim versus recurrent and fat: Random walks and the trees they grow

Cites Work

• Random walk in random environment in a two-dimensional stratified medium with orientations
• Random walks on directed lattices and Martin boundary
• Corner percolation on \(\mathbb Z^{2}\) and the square root of 17
• A functional limit theorem for a 2D-random walk with dependent marginals
• Infinite networks. II: Resistance in an infinite grid
• Transient Random Walks on 2D-Oriented Lattices
• Infinite networks: I--Resistive networks
• Transient random walk in ${\mathbb Z}^2$ with stationary orientations
• A basic course in probability theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Type transition of simple random walks on randomly directed regular lattices