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Martingale approach for tail asymptotic problems in the gener­alized Jackson network

DOI: http://dx.doi.org/10.19195/0208-4147.37.2.11

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Generalized Jackson network, stationary distribution, tail asymptotic, piecewise deterministic Markov process, martingale, change of measure, instability

The local structure of q-Gaussian processes

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q-Brownian motion, q-Ornstein–Uhlenbeck process, inhomogeneous Markov process, tangent process, self-similar process, Cauchy process, free stable law, Biane’s construction.

Kendall random walks

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Random walk, generalized convolution, weakly stable distribution, Kendall convolution, Pareto distribution, Markov process, Williamson transform

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