Random Walks with Nonnearest Neighbor Transitions. I. Analytic 1-D Theory for Next-Nearest Neighbor and Exponentially Distributed Steps

DOI10.1063/1.1665630zbMath0213.19903OpenAlexW2075173620MaRDI QIDQ5615135

Kurt E. Shuler, Katja Lakatos-Lindenberg

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1063/1.1665630

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50)

Related Items (5)

Escape of a uniform random walk from an interval ⋮ Expansion of the Master Equation for One-Dimensional Random Walks with Boundary ⋮ Stochastic dynamics and passage times for diffusion approximations ⋮ One-dimensional non-nearest-neighbor random walks in the presence of traps ⋮ First passage time problems for a class of master equations with separable kernels

Cites Work

• Random Walks on Lattices. II
• On the van der Waals Theory of the Vapor-Liquid Equilibrium. I. Discussion of a One-Dimensional Model
• Random Walks on Lattices. III. Calculation of First-Passage Times with Application to Exciton Trapping on Photosynthetic Units

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