On sojourn times, excursions and spectral measures connected with quasidiffusions

DOI10.1215/kjm/1250520875zbMath0625.60093OpenAlexW1582041935MaRDI QIDQ579770

Uwe Küchler

Publication date: 1986

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250520875

zbMATH Keywords

Laplace transformsPoisson measureeigenfunctionslocal timecompounded Poisson processquasidiffusion

Mathematics Subject Classification ID

Diffusion processes (60J60) Local time and additive functionals (60J55)

Related Items (8)

Spectral asymptotics of Kreĭn-Feller operators for weak Gibbs measures on self-conformal fractals with overlaps ⋮ An explicit solution to the Skorokhod embedding problem for functionals of excursions of Markov processes ⋮ On the Mellin transforms of the perpetuity and the remainder variables associated to a subordinator ⋮ An approximation of solutions to heat equations defined by generalized measure theoretic Laplacians ⋮ Some explicit Krein representations of certain subordinators, including the gamma process ⋮ Spectral asymptotics for Krein-Feller operators with respect to \(\mathrm{V} \)-variable Cantor measures ⋮ Stochastic wave equations defined by fractal Laplacians on Cantor-like sets ⋮ Spectral dimensions of Kreĭn-Feller operators and \(L^q\)-spectra

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