Cauchy noise and affiliated stochastic processes

DOI10.1063/1.532706zbMath0958.60070arXivmath-ph/9804014OpenAlexW3103856294MaRDI QIDQ4701738

Piotr Garbaczewski, Robert Olkiewicz

Publication date: 21 November 1999

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

Full work available at URL: https://arxiv.org/abs/math-ph/9804014

zbMATH Keywords

Gaussian noiseMarkov processesjump processesCauchy noise

Mathematics Subject Classification ID

Related Items (3)

Nonlocally induced (fractional) bound states: Shape analysis in the infinite Cauchy well ⋮ Lévy flights in confining environments: random paths and their statistics ⋮ Lévy flights and nonlocal quantum dynamics

Cites Work

• Relativistic Schrödinger operators: Asymptotic behavior of the eigenfunctions
• Master equations for subordinated processes
• The growth of random walks and Levy processes
• Intrinsic ultracontractivity and conditional gauge for symmetric stable processes
• Poincaré-invariant Markov processes and Gaussian random fields on relativistic phase space
• Non-negative Feynman–Kac kernels in Schrödinger’s interpolation problem
• Schrödinger semigroups
• Stochastic mechanics of a relativistic spinless particle
• Variational processes and stochastic versions of mechanics
• Reciprocal processes
• Statistical-Mechanical Foundation of the Ubiquity of Lévy Distributions in Nature
• Feynman–Kac kernels in Markovian representations of the Schrödinger interpolating dynamics

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