Transitional probabilities for the four-state random walk on a lattice in the presence of partially reflecting boundaries

DOI10.1063/1.3122768zbMath1187.82050OpenAlexW2081251061MaRDI QIDQ3565266

Ramakrishna Janaswamy

Publication date: 3 June 2010

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

Full work available at URL: https://works.bepress.com/cgi/viewcontent.cgi?article=1005&context=ramakrishna_janaswamy

zbMATH Keywords

diffusionstochastic processesprobabilitySchrödinger equationrandom processesboundary-value problemsparabolic equationseigenvalues and eigenfunctionsChebyshev approximationspace-time configurations

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Schrödinger and Dirac free particle equations without quantum mechanics
• A discrete, deterministic construction of the phase in Feynman paths
• Random Walks on Lattices. II
• Application of Random Walk Methods to Wave Propagation
• Random walks and Schrödinger's equation in dimensions
• Transitional probabilities for the 4-state random walk on a lattice

This page was built for publication: Transitional probabilities for the four-state random walk on a lattice in the presence of partially reflecting boundaries