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Two queues with random time-limited polling

DOI: http://dx.doi.org/10.19195/0208-4147.37.2.4

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Polling model, workload decomposition, heavy traffic, heavy tail asymptotics, singular perturbation analysis, timescale separation, geometric ergodicity

Renewal function asymptotics refined à la Feller

DOI: http://dx.doi.org/10.19195/0208-4147.37.2.5

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Renewal function, asymptotics of refined iterates, moment condition

Tail asymptotics of signal-to-interference ratio dis­tribution in spatial cellular network models

DOI: http://dx.doi.org/10.19195/0208-4147.37.2.12

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Spatial point processes, cellular networks, tail asymptotics, signal-to-interference ratio, determinantal point processes

A note on first passage probabilities of a Lévy process reflected at a general barrier

DOI: http://dx.doi.org/10.19195/0208-4147.37.2.13

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Reflected Lévy process, Central Limit Theorem, asymptotics, first passage probability

The area of a spectrally positive stable process stopped at zero

DOI: http://dx.doi.org/10.19195/0208-4147.38.1.2

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Hitting time, integrated process, stable Lévy process, tail asymptotics

Extremes of multidimensional stationary Gaussian random fields

DOI: http://dx.doi.org/10.19195/0208-4147.38.1.10

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Gaussian random field, supremum, limit theorem, asymptotics, Berman condition, strong dependence

Extremes of chi-square processes with trend

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Chi-square process, Gaussian random field, safety region, tail asymptotics, first passage time, Pickands constant, Piterbarg constant, Fernique-type inequality

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