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Published in 2018 at "Methodology and Computing in Applied Probability"
DOI: 10.1007/s11009-017-9573-4
Abstract: We establish an exact formula for the distribution of the partial maximum sequence generated by the stationary process obtained by iterations of the Rényi map x → βx mod 1, β = 2, 3, ....…
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Keywords:
hitting probabilities;
level hitting;
probabilities extremal;
particular dynamical ... See more keywords
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Published in 2022 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2022.126125
Abstract: We investigate the optimal Hölder continuity and hitting probabilities for systems of stochastic heat equations and stochastic wave equations driven by an additive fractional Brownian sheet with temporal index 1/2 and spatial index H ≤…
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Keywords:
fractional brownian;
hitting probabilities;
lder continuity;
optimal lder ... See more keywords