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On shape of high massive excursions of trajectories of Gaussian homogeneous fields. (English) Zbl 1387.60065
Summary: We consider the asymptotic behavior of the probability of “physical extremes” of a Gaussian field which means the probability of excursions above a high level with diameters of their bases exceeding a fixed positive number. Also we deal with the path behaviour of such excursions in case they occur.

MSC:
60G15 Gaussian processes
60G70 Extreme value theory; extremal stochastic processes
60G05 Foundations of stochastic processes
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