Lattice dynamics, random walks, and nonintegral effective dimensionality

DOI10.1063/1.525554zbMath0487.60085OpenAlexW2036229445MaRDI QIDQ3948431

Barry D. Hughes, Michael F. Shlesinger

Publication date: 1982

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525554

zbMATH Keywords

long-range interactionsIsing modelrenormalization group techniquesfractal lattices

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items

Recurrence of random walks with long-range steps generated by fractional Laplacian matrices on regular networks and simple cubic lattices, Fractal and lacunary stochastic processes, Williams-Watts dielectric relaxation: A fractal time stochastic process

Cites Work

• Fractal random walks
• Random Walks on Lattices. II
• Some intersection properties of random walk paths
• Random walks with self-similar clusters
• Self-avoiding random walks: Some exactly soluble cases
• A Lattice with an Unusual Frequency Spectrum
• Expected Number of Distinct Sites Visited by a Random Walk with an Infinite Variance
• Exact Results for a Body-Centered Cubic Lattice Green's Function with Applications in Lattice Statistics. I