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- Polish Academy of SciencesPL39 papers
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- National Academy of Sciences of UkraineUA16 papers
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5 papers · 2 filters
Asymptotic expansion of semi-Markov random evolutions
S. Albeverio, V. S. Koroliuk, I. V. Samoilenko
Regular and singular parts of asymptotic expansions of semi-Markov random evolutions are given. Regularity of boundary conditions is shown. An algorithm for calculation of initial…
Asymptotic Expansion for the Functional of Markovian Evolution in Rd in the Circuit of Diffusion Approximation
I. V. Samoilenko
Is studied asymptotic expansion for solution of singularly perturbed equation for functional of Markovian evolution in Rd. The view of regular and singular parts of solution is fou…
Large deviations for flows of interacting Brownian motions
A. A. Dorogovtsev, O. V. Ostapenko
We establish the large deviation principle (LDP) for stochastic flows of interacting Brownian motions. In particular, we consider smoothly correlated flows, coalescing flows and Br…
Restricted isometry property of matrices with independent columns and neighborly polytopes by random sampling
Radosław Adamczak, Alexander E. Litvak, Alain Pajor +1
This paper considers compressed sensing matrices and neighborliness of a centrally symmetric convex polytope generated by vectors , (). We intro…
Heat kernel of fractional Laplacian in cones
Krzysztof Bogdan, Tomasz Grzywny
We give sharp estimates for the transition density of the isotropic stable Lévy process killed when leaving a right circular cone.