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• W2527164455 endingPage "335002" @default.
• W2527164455 startingPage "335002" @default.
• W2527164455 abstract "This article introduces the notion of Generalized Poisson-Kac (GPK) processes which generalize the class of telegrapher's noise dynamics introduced by Marc Kac in 1974, usingPoissonian stochastic perturbations. In GPK processes the stochastic perturbation acts as a switching amongst a set of stochastic velocity vectors controlled by a Markov-chain dynamics. GPK processes possess trajectory regularity (almost everywhere) and asymptotic Kac limit, namely the convergence towards Brownian motion (and to stochastic dynamics driven by Wiener perturbations), which characterizes also the long-term/long-distance properties of these processes. In this article we introduce the structural properties of GPK processes, leaving all the physical implications to part II and part III." @default.
• W2527164455 created "2016-10-07" @default.
• W2527164455 creator A5038017432 @default.
• W2527164455 creator A5046276518 @default.
• W2527164455 creator A5064415308 @default.
• W2527164455 date "2017-07-18" @default.
• W2527164455 modified "2023-10-02" @default.
• W2527164455 title "Stochastic foundations of undulatory transport phenomena: generalized Poisson–Kac processes—part I basic theory" @default.
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• W2527164455 doi "https://doi.org/10.1088/1751-8121/aa79d4" @default.
• W2527164455 hasPublicationYear "2017" @default.
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