Markov processes related to the stationary measure for the open KPZ equation

DOI10.1007/s00440-022-01110-7zbMath1528.60076arXiv2105.03946OpenAlexW3161046919MaRDI QIDQ6085094

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Publication date: 2 December 2023

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.03946

zbMATH Keywords

dual semigroupsKontorovich-Lebedev transformkilled Brownian motionLiouville potentialdual representation for Laplace transformopen KPZ equationYakubovich's heat kernel

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (3)

Stationary measures of the KPZ equation on an interval from Enaud–Derrida’s matrix product ansatz representation ⋮ Markov limits of steady states of the KPZ equation on an interval ⋮ Stationary measures for the log-gamma polymer and KPZ equation in half-space

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