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A. V. Shaposhnikov
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All published works
Action
Title
Year
Authors
+
PDF
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Pathwise vs. path-by-path uniqueness
2022
A. V. Shaposhnikov
Lukas Wresch
+
Vladimir Igorevich Bogachev
2021
П. А. Бородин
И. А. Ибрагимов
Борис Сергеевич Кашин
Valery Vasil'evich Kozlov
Alexander V. Kolesnikov
Sergei Vladimirovich Konyagin
Egor D. Kosov
O. G. Smolyanov
N. A. Tolmachev
Дмитрий Валерьевич Трещeв
+
PDF
Chat
Regularity of Solutions to Kolmogorov Equations with Perturbed Drifts
2021
В. И. Богачев
Egor D. Kosov
A. V. Shaposhnikov
+
Regularity of solutions to Kolmogorov equations with perturbed drifts
2021
В. И. Богачев
Egor D. Kosov
A. V. Shaposhnikov
+
Sobolev–Kantorovich inequalities under CD(0,∞) condition
2021
В. И. Богачев
A. V. Shaposhnikov
Feng‐Yu Wang
+
PDF
Chat
A note on Lusin-type approximation of Sobolev functions on Gaussian spaces
2020
A. V. Shaposhnikov
+
PDF
Chat
Log-Sobolev-type inequalities for solutions to stationary Fokker–Planck–Kolmogorov equations
2019
В. И. Богачев
A. V. Shaposhnikov
С. В. Шапошников
+
A note on Lusin-type approximation of Sobolev functions on Gaussian spaces
2019
A. V. Shaposhnikov
+
Estimates for Solutions to Fokker–Planck–Kolmogorov Equations with Integrable Drifts
2018
В. И. Богачев
A. V. Shaposhnikov
С. В. Шапошников
+
Estimates for Solutions to Fokker-Plank-Kolmogorov Equations
2018
В. И. Богачев
С. В. Шапошников
A. V. Shaposhnikov
+
Log-Sobolev-type inequalities for solutions to stationary Fokker-Planck-Kolmogorov equations
2018
В. И. Богачев
A. V. Shaposhnikov
С. В. Шапошников
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Correction to the paper "Some remarks on Davie's uniqueness theorem"
2017
A. V. Shaposhnikov
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On inequalities relating the Sobolev and Kantorovich norms
2016
В. И. Богачев
Feng‐Yu Wang
A. V. Shaposhnikov
+
Relations between Sobolev and Kantorovich norms on manifolds
2016
В. И. Богачев
A. V. Shaposhnikov
F. Yu. Wang
+
PDF
Chat
Some Remarks on Davie’s Uniqueness Theorem
2016
A. V. Shaposhnikov
+
Sobolev-Kantorovich inequalities under $CD(0, \infty)$ condition
2016
В. И. Богачев
A. V. Shaposhnikov
F.-Yu. Wang
+
Estimates of the Kantorovich norm on manifolds
2015
В. И. Богачев
Feng‐Yu Wang
A. V. Shaposhnikov
+
Lower bounds for the Kantorovich distance
2015
В. И. Богачев
A. V. Shaposhnikov
+
Sobolev functions on infinite-dimensional domains
2014
В. И. Богачев
Andrey Pilipenko
A. V. Shaposhnikov
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Some remarks on Davie's uniqueness theorem
2014
A. V. Shaposhnikov
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Sobolev functions on infinite-dimensional domains
2013
В. И. Богачев
Andrey Pilipenko
A. V. Shaposhnikov
+
On extensions of Sobolev functions on the wiener space
2013
В. И. Богачев
A. V. Shaposhnikov
+
On a Strong Uniqueness of Solutions of Degenerate Stochastic Differential Equations
2012
A. V. Shaposhnikov
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A lusin-type theorem for vector fields on the wiener space
2010
A. V. Shaposhnikov
+
Differentiability of measures in the sense of Skorokhod and related properties
2009
A. V. Shaposhnikov
+
On the Expected Number of Level Crossings of Random Trigonometric Polynomials
2005
K. Farahmand
A. V. Shaposhnikov
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The expected number of level crossings of random trigonometric polynomials
2004
K. Farahmand
A. V. Shaposhnikov
Common Coauthors
Coauthor
Papers Together
В. И. Богачев
15
С. В. Шапошников
4
Egor D. Kosov
3
Feng‐Yu Wang
3
K. Farahmand
2
Andrey Pilipenko
2
Борис Сергеевич Кашин
1
И. А. Ибрагимов
1
Дмитрий Валерьевич Трещeв
1
Valery Vasil'evich Kozlov
1
F. Yu. Wang
1
Lukas Wresch
1
O. G. Smolyanov
1
N. A. Tolmachev
1
F.-Yu. Wang
1
П. А. Бородин
1
Sergei Vladimirovich Konyagin
1
Андрей Андреевич Шкаликов
1
Alexander V. Kolesnikov
1
Albert N. Shiryaev
1
S. V. Shaposhnikov
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
Differentiable Measures and the Malliavin Calculus
2010
В. И. Богачев
11
+
Analysis for Diffusion Processes on Riemannian Manifolds
2012
Feng‐Yu Wang
7
+
The Monge-Kantorovich problem: achievements, connections, and perspectives
2012
В. И. Богачев
Александр Викторович Колесников
6
+
PDF
Chat
LOG-HARNACK INEQUALITY FOR STOCHASTIC DIFFERENTIAL EQUATIONS IN HILBERT SPACES AND ITS CONSEQUENCES
2010
Michael Röckner
Feng‐Yu Wang
6
+
PDF
Chat
Logarithmic Sobolev inequalities on noncompact Riemannian manifolds
1997
Feng‐Yu Wang
6
+
PDF
Chat
Topics in Optimal Transportation
2003
Cédric Villani
6
+
Lower bounds for the Kantorovich distance
2015
В. И. Богачев
A. V. Shaposhnikov
6
+
PDF
Chat
Fokker–Planck–Kolmogorov Equations
2015
В. И. Богачев
Н. В. Крылов
Michael Röckner
С. В. Шапошников
5
+
Harnack inequalities on manifolds with boundary and applications
2010
Feng‐Yu Wang
5
+
ON REGULARITY OF TRANSITION PROBABILITIES AND INVARIANT MEASURES OF SINGULAR DIFFUSIONS UNDER MINIMAL CONDITIONS
2001
В. И. Богачев
Н. В. Крылов
Michael Röckner
5
+
Estimates of the Kantorovich norm on manifolds
2015
В. И. Богачев
Feng‐Yu Wang
A. V. Shaposhnikov
5
+
On the Space of BV Functions and a Related Stochastic Calculus in Infinite Dimensions
2001
Masatoshi Fukushima
Masanori Hino
5
+
Regularity of Invariant Measures on Finite and Infinite Dimensional Spaces and Applications
1995
В. И. Богачев
Michael Röckner
5
+
Bellman function and linear dimension-free estimates in a theorem of Bakry
2013
Antonella Carbonaro
Oliver Dragičević
5
+
Elliptic equations for invariant measures on finite and infinite dimensional manifolds
2001
В. И. Богачев
Michael Röckner
Feng‐Yu Wang
4
+
On inequalities relating the Sobolev and Kantorovich norms
2016
В. И. Богачев
Feng‐Yu Wang
A. V. Shaposhnikov
4
+
PDF
Chat
Fractional smoothness of distributions of polynomials and a fractional analog of the Hardy–Landau–Littlewood inequality
2017
В. И. Богачев
Egor D. Kosov
Georgii I. Zelenov
4
+
PDF
Chat
Weak Convergence of Measures
2018
В. И. Богачев
4
+
BV functions in abstract Wiener spaces
2009
Luigi Ambrosio
Michele Miranda
Stefania Maniglia
Diego Pallara
4
+
Isoperimetry and Gaussian analysis
1996
Michel Ledoux
4
+
Dirichlet spaces on H-convex sets in Wiener space
2011
Masanori Hino
3
+
Kolmogorov Equations for Stochastic PDEs
2004
Giuseppe Da Prato
3
+
REGULARIZING PROPERTIES OF BROWNIAN PATHS AND A RESULT OF DAVIE
2011
Franco Flandoli
3
+
Analysis and Geometry of Markov Diffusion Operators
2013
Dominique Bakry
Ivan Gentil
Michel Ledoux
3
+
Hypercontractivity of Hamilton–Jacobi equations
2001
Sergey G. Bobkov
Ivan Gentil
Michel Ledoux
3
+
A lusin type theorem for gradients
1991
Giovanni Alberti
3
+
PDF
Chat
Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces
2011
Luigi Ambrosio
Alessio Figalli
3
+
PDF
Chat
Strong solutions of stochastic equations with singular time dependent drift
2004
Н. В. Крылов
Michael Röckner
3
+
PDF
Chat
Martingale transforms and L p -norm estimates of Riesz transforms on complete Riemannian manifolds
2007
Xiang‐Dong Li
3
+
Interpolation inequalities in pattern formation
2016
Eleonora Cinti
Félix Otto
3
+
Functional inequalities, Markov semigroups and spectral theory
2005
风雨 王
3
+
PDF
Chat
Uniqueness of Solutions of Stochastic Differential Equations
2007
A. M. Davie
3
+
Weakly Differentiable Functions
1989
William P. Ziemer
3
+
Ornstein–Uhlenbeck operators and semigroups
2018
В. И. Богачев
3
+
PDF
Chat
Quadratic Covariation and an Extension of Itô's Formula
1995
Hans Föllmer
Philip Protter
A. N. Shiryayev
Hans Föllmer
3
+
PDF
Chat
Sobolev spaces over the Wiener space based on an Ornstein-Uhlenbeck operator
1992
Ichirō Shigekawa
2
+
A lusin-type theorem for vector fields on the wiener space
2010
A. V. Shaposhnikov
2
+
Topics in Random Polynomials
1998
K. Farahmand
2
+
An Introduction to Infinite Dimensional Analysis
2007
Giuseppe Da Prato
2
+
PDF
Chat
Notes on Fourier Analysis. (XXIX): An Extrapolation Theorem
1951
Shigeki Yano
2
+
Variations on Yano's extrapolation theorem.
2005
Mirosłav Krbec
D. E. Edmunds
2
+
SOME RESULTS ON DIFFERENTIABLE MEASURES
1986
В. И. Богачев
2
+
PDF
Chat
Etude des transformations de Riesz dans les variétés riemanniennes à courbure de Ricci minorée
1987
Dominique Bakry
2
+
PDF
Chat
L<sup>1</sup>-convergence and hypercontractivity of diffusion semigroups on manifolds
2004
Feng‐Yu Wang
2
+
Towards a theory of functions in abstract Wiener spaces
2009
Luigi Ambrosio
Michele Miranda
Stefania Maniglia
Diego Pallara
2
+
Analytic properties of infinite-dimensional distributions
1990
В. И. Богачев
O. G. Smolyanov
2
+
PDF
Chat
Pathwise uniqueness and continuous dependence for SDEs with non-regular drift
2011
E. Fedrizzi
Franco Flandoli
2
+
ε-Entropy and ε-Capacity of Sets In Functional Spaces
1993
V. М. Tikhomirov
2
+
PDF
Chat
A User’s Guide to Optimal Transport
2012
Luigi Ambrosio
Nicola Gigli
2
+
On the Uniqueness in Law and the Pathwise Uniqueness for Stochastic Differential Equations
2002
Alexander S. Cherny
2