Found 42 Documents (Results 1–42)
A regularity method for lower bounds on the Lyapunov exponent for stochastic differential equations. (English) Zbl 1490.37073
Fractional smoothness of images of logarithmically concave measures under polynomials. (English) Zbl 1390.28002
Laplacian generated by the Gaussian measure and ergodic theorem. (English. Russian original) Zbl 1386.35051
Ukr. Math. J. 67, No. 9, 1316-1326 (2016); translation from Ukr. Mat. Zh. 67, No. 9, 1172-1180 (2015).
Distances between transition probabilities of diffusions and applications to nonlinear Fokker-Planck-Kolmogorov equations. (English) Zbl 1345.35051
Reviewer: Stefanie Sonner (Graz)
Surface measures generated by differentiable measures. (English) Zbl 1342.28027
Reviewer: Kun Soo Chang (Seoul)
Furstenberg transformations on Cartesian products of infinite-dimensional tori. (English) Zbl 1351.58020
Reviewer: Daniel Beltiţă (Bucureşti)
Comparison of two definitions of Besov classes on infinite-dimensional spaces. (English. Russian original) Zbl 1328.46032
Math. Notes 95, No. 1, 133-135 (2014); translation from Mat. Zametki 95, No. 1, 150-153 (2014).
The Dirichlet problem with Laplacian with respect to a measure in the Hilbert space. (English. Ukrainian original) Zbl 1432.35234
Ukr. Math. J. 66, No. 6, 818-826 (2014); translation from Ukr. Mat. Zh. 66, No. 6, 733-739 (2014).
On the distributions of smooth functions on infinite-dimensional spaces with measures. (English) Zbl 1305.60009
Dokl. Math. 89, No. 1, 5-7 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 454, No. 1, 11-14 (2014).
Reviewer: Hiroaki Shimomura (Tokyo)
MSC:
60B05
The Radon transform in an infinite-dimensional space with Gaussian measure. (English. Russian original) Zbl 1297.44006
Dokl. Math. 88, No. 3, 674-677 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 453, No. 3, 252-255 (2013).
MSC:
44A12
Fractional order Sobolev classes on infinite-dimensional spaces. (English. Russian original) Zbl 1291.46033
Dokl. Math. 88, No. 2, 518-523 (2013); translation from Dokl. Akad. Nauk. 452, No. 2, 130-135 (2013).
Besov classes on infinite-dimensional spaces. (English. Russian original) Zbl 1278.46033
Math. Notes 93, No. 6, 936-939 (2013); translation from Mat. Zametki 93, No. 6, 951-953 (2013).
On extensions of Sobolev functions on the Wiener space. (English. Russian original) Zbl 1282.46032
Dokl. Math. 87, No. 1, 58-61 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 448, No. 4, 379-383 (2013).
Banach manifolds with bounded structure and the Gauss-Ostrogradskii formula. (English) Zbl 1287.58005
Ukr. Math. J. 64, No. 10, 1475-1494 (2013); translation from Ukr. Mat. Zh. 64, No. 10, 1299-1313 (2012).
Reviewer: Jean-Pierre Magnot (Clermont-Ferrand)
MSC:
58B99
Uniqueness of weighted Sobolev spaces with weakly differentiable weights. (English) Zbl 1267.46054
Reviewer: Raymond Johnson (Houston)
Laplacian with respect to a measure on a Hilbert space and an \(L_2\)-version of the Dirichlet problem for the Poisson equation. (English. Russian original) Zbl 1260.35021
Ukr. Math. J. 63, No. 9, 1336-1348 (2012); translation from Ukr. Mat. Zh. 63, No. 9, 1169-1178 (2011).
Reviewer: Andreas Kleefeld (Cottbus)
MSC:
35J05
The Radon transform in infinite-dimensional spaces. (English. Russian original) Zbl 1261.44001
Dokl. Math. 85, No. 2, 208-211 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 443, No. 3, 279-282 (2012).
Reviewer: Ahmed I. Zayed (Chicago)
Modeling the topology of a dynamical network via Wiener filtering approach. (English) Zbl 1246.93113
A condition for the positivity of the density of an invariant measure. (English. Russian original) Zbl 1266.60121
Dokl. Math. 83, No. 3, 332-336 (2011); translation from Dokl. Akad. Nauk 438, No. 3, 295-299 (2011).
Reviewer: Michael Scheutzow (Berlin)
Absolute continuity and convergence in variation for distributions of functionals of Poisson point measure. (English) Zbl 1233.60028
Reviewer: Jean Picard (Aubière)
Lower estimates for densities of solutions to parabolic equations for measures. (English. Russian original) Zbl 1184.35064
Dokl. Math. 80, No. 3, 877-881 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 429, No. 5, 600-604 (2009).
Differentiability of measures in the sense of Skorokhod and related properties. (English. Russian original) Zbl 1202.28014
Dokl. Math. 80, No. 3, 818-822 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 429, No. 2, 163-167 (2009).
Reviewer: C. Castaing (Montpellier)
MSC:
28B20
Asymptotic properties of polynomials in Gaussian random variables. (English. Russian original) Zbl 1195.60054
Dokl. Math. 80, No. 3, 806-809 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 429, No. 1, 151-154 (2009).
MSC:
60G15
Exponential ergodicity of the solutions to SDE’s with a jump noise. (English) Zbl 1169.60012
Reviewer: Makiko Nisio (Kobe)
Existence and a priori estimates for Euclidean Gibbs states. (English. Russian original) Zbl 1127.82005
Trans. Mosc. Math. Soc. 2006, 1-85 (2006); translation from Tr. Mosk. Mat. O.-va 67, 3-103 (2006).
Reviewer: Iván Abonyi (Budapest)
On existence of a solution for differential equation with interaction. (English) Zbl 1119.60045
Reviewer: Mikhail P. Moklyachuk (Kyïv)
Second derivatives of convex functions in the sense of A.D.Aleksandrov on infinite-dimensional spaces with measure. (English) Zbl 1121.46061
Math. Notes 79, No. 4, 454-467 (2006); translation from Mat. Zametki 79, No. 4, 488-504 (2006).
Mosco convergence of Dirichlet forms in infinite dimensions with changing reference measures. (English) Zbl 1093.31007
Reviewer: Niels Jacob (Swansea)
On closability of classical Dirichlet forms. (English) Zbl 1039.47002
Reviewer: Guillermo P. Curbera (Sevilla)
Realization of Virasoro unitarizing measures on the set of Jordan curves. (English. Abridged French version) Zbl 1040.58015
Surface measures and tightness of \((r,p)\)-capacities on Poisson space. (English) Zbl 1020.58006
Reviewer: J.Picard (Aubière)
A priori estimates for symmetrizing measures and their applications to Gibbs states. (English) Zbl 0968.60095
Reviewer: Anatoly N.Kochubei (Kyïv)
Construction of non-Gaussian surface measures by Malliavin’s method. (English. Russian original) Zbl 0985.46029
Math. Notes 65, No. 3, 315-325 (1999); translation from Mat. Zametki 65, No. 3, 377-388 (1999).
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