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- W4287331349 abstract "We prove precise stability results for overshoots of Markov additive processes (MAPs) with finite modulating space. Our approach is based on the Markovian nature of overshoots of MAPs whose mixing and ergodic properties are investigated in terms of the characteristics of the MAP. On our way we extend fluctuation theory of MAPs, contributing among others to the understanding of the Wiener-Hopf factorization for MAPs by generalizing Vigon's 'equations amicales invers'es known for L'evy processes. Using the Lamperti transformation the results can be applied to self-similar Markov processes. Among many possible applications, we study the mixing behavior of stable processes sampled at first hitting times as a concrete example." @default.
- W4287331349 created "2022-07-25" @default.
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- W4287331349 date "2021-02-05" @default.
- W4287331349 modified "2023-09-27" @default.
- W4287331349 title "Stability of overshoots of Markov additive processes" @default.
- W4287331349 doi "https://doi.org/10.48550/arxiv.2102.03238" @default.
- W4287331349 hasPublicationYear "2021" @default.
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