Continuous time \(p\)-adic random walks and their path integrals

DOI10.1007/s10959-018-0831-3zbMath1447.60007OpenAlexW2808977063MaRDI QIDQ1741884

David Weisbart, Erik Bakken

Publication date: 7 May 2019

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-018-0831-3

zbMATH Keywords

random walksBrownian motionFeynman-Kac\(p\)-adics

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Sums of independent random variables; random walks (60G50) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Convergence of probability measures (60B10) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10) Probability theory on linear topological spaces (60B11) Schrödinger and Feynman-Kac semigroups (47D08)

Related Items (2)

\(p\)-adic Brownian motion as a limit of discrete time random walks ⋮ Components and exit times of Brownian motion in two or more \(p\)-adic dimensions

Cites Work

• Unnamed Item
• Path integrals for a class of \(p\)-adic Schrödinger equations
• A random walk on \(p\)-adics -- the generator and its spectrum
• SCHRÖDINGER OPERATORS ON LOCAL FIELDS: SELF-ADJOINTNESS AND PATH INTEGRAL REPRESENTATIONS FOR PROPAGATORS
• FINITE APPROXIMATIONS TO QUANTUM SYSTEMS
• p-adic description of characteristic relaxation in complex systems
• Nonlocal operators, parabolic-type equations, and ultrametric random walks

This page was built for publication: Continuous time \(p\)-adic random walks and their path integrals