Stochastic processes and antiderivational equations on non-Archimedean manifolds.
Ludkovsky, S.V. (2004)
International Journal of Mathematics and Mathematical Sciences
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Ludkovsky, S.V. (2004)
International Journal of Mathematics and Mathematical Sciences
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Ludkovsky, S. V. (2003)
International Journal of Mathematics and Mathematical Sciences
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Ludkovsky, S. V. (2003)
International Journal of Mathematics and Mathematical Sciences
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Dorogovtsev, Andrej A. (1995)
Journal of Applied Mathematics and Stochastic Analysis
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Svetlana Janković (1998)
Zbornik Radova
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Anna Karczewska, Jerzy Zabczyk (2000)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We study regularity of stochastic convolutions solving Volterra equations on driven by a spatially homogeneous Wiener process. General results are applied to stochastic parabolic equations with fractional powers of Laplacian.
Dorogovtsev, Andrey A. (2003)
International Journal of Mathematics and Mathematical Sciences
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Lüdkovsky, S.V. (2005)
International Journal of Mathematics and Mathematical Sciences
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Witold Bednorz (2008)
Bulletin of the Polish Academy of Sciences. Mathematics
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We show that the main result of [1] on sufficiency of existence of a majorizing measure for boundedness of a stochastic process can be naturally split in two theorems, each of independent interest. The first is that the existence of a majorizing measure is sufficient for the existence of a sequence of admissible nets (as recently introduced by Talagrand [5]), and the second that the existence of a sequence of admissible nets is sufficient for sample boundedness of a stochastic process...
D. Nualart, M. Sanz (1985)
Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications
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