Brownian motion and finite approximations of quantum systems over local fields

DOI10.1142/S0129055X17500167zbMath1370.81068arXiv1612.03114MaRDI QIDQ5348815

David Weisbart, Erik Bakken, Trond Digernes

Publication date: 21 August 2017

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

Full work available at URL: https://arxiv.org/abs/1612.03114

zbMATH Keywords

local fieldsBrownian motionfinite approximations

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Brownian motion (60J65) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Convergence of probability measures (60B10) Approximations and expansions (41A99) Schrödinger and Feynman-Kac semigroups (47D08) Pseudodifferential operators (47G30)

Related Items (5)

Estimates of certain exit probabilities for \(p\)-adic Brownian bridges ⋮ \(p\)-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 ⋮ On infinitesimal generators and Feynman–Kac integrals of adelic diffusion ⋮ A review of finite approximations, Archimedean and non-Archimedean

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