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On the equivalence of the entropic curvature-dimension condition and Bochner’s inequality on metric measure spaces

Inventiones mathematicae, 2015-09, Vol.201 (3), p.993-1071

2015

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Convergence of time-inhomogeneous geodesic random walks and its application to coupling methods

The Annals of probability, 2012-09, Vol.40 (5)

Kuwada, Kazumasa

2012

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Heat Flow on Alexandrov Spaces

Communications on pure and applied mathematics, 2013-03, Vol.66 (3), p.307-331

2013

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A probabilistic approach to the maximal diameter theorem

Mathematische Nachrichten, 2013-03, Vol.286 (4), p.374-378

Kuwada, Kazumasa

2013

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Monotonicity and rigidity of the W-entropy on RCD(0,N) spaces

Manuscripta mathematica, 2021, Vol.164 (1-2), p.119-149

2021

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Rigidity for the spectral gap on Rcd(K, ∞)-spaces

American journal of mathematics, 2020-10, Vol.142 (5), p.1559-1594

2020

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Space-time Wasserstein controls and Bakry–Ledoux type gradient estimates

Calculus of variations and partial differential equations, 2015-09, Vol.54 (1), p.127-161

Kuwada, Kazumasa

2015

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Duality on gradient estimates and Wasserstein controls

Journal of functional analysis, 2010-06, Vol.258 (11), p.3758-3774

Kuwada, Kazumasa

2010

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Laplace approximation for stochastic line integrals

Probability theory and related fields, 2009-05, Vol.144 (1-2), p.1-51

Kuwada, Kazumasa

2009

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Radial processes on RCD⁎(K,N) spaces

Journal de mathématiques pures et appliquées, 2019-06, Vol.126, p.72-108

2019

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Monotonicity of Time-Dependent Transportation Costs and Coupling by Reflection

Potential analysis, 2013-10, Vol.39 (3), p.231-263

2013

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On large deviations for random currents induced from stochastic line integrals

Forum mathematicum, 2006-07, Vol.18 (4), p.639-676

Kuwada, Kazumasa

2006

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CONVERGENCE OF TIME-INHOMOGENEOUS GEODESIC RANDOM WALKS AND ITS APPLICATION TO COUPLING METHODS

The Annals of probability, 2012-09, Vol.40 (5), p.1945-1979

Kuwada, Kazumasa

2012

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Monotonicity and rigidity of the $${\mathcal {W}}$$-entropy on $${\mathsf {RCD}} (0,N)$$ spaces

Manuscripta mathematica, 2021-01, Vol.164 (1-2), p.119-149

2021

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Large deviation for stochastic line integrals as Lp-currents

Probability theory and related fields, 2010, Vol.147 (3-4), p.649-674

2010

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Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations

Calculus of variations and partial differential equations, 2019-08, Vol.58 (4), p.1-38, Article 130

2019

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A coupling of Brownian motions in the $\mathcal{L}_0$-geometry

Tôhoku mathematical journal, 2018-03, Vol.70 (1)

2018

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Non-explosion of diffusion processes on manifolds with time-dependent metric

Mathematische Zeitschrift, 2011-08, Vol.268 (3-4), p.979-991

2011

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Coupling of Brownian motions and Perelman's L -functional

Journal of functional analysis, 2011-05, Vol.260 (9), p.2742-2766

2011

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Radial processes for sub-Riemannian Brownian motions and applications

Electronic journal of probability, 2020-01, Vol.25 (none)

2020

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Characterization of maximal Markovian couplings for diffusion processes

Electronic journal of probability, 2009-01, Vol.14 (none)

Kuwada, Kazumasa

2009

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On Uniqueness of Maximal Coupling for Diffusion Processes with a Reflection

Journal of theoretical probability, 2007-12, Vol.20 (4), p.935-957

Kuwada, Kazumasa

2007

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Equivalence between dimensional contractions in Wasserstein distance and the curvature-dimension condition

Annali della Scuola normale superiore di Pisa, Classe di scienze, 2018-01, p.845-880

2018

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Mini-Workshop: Recent Progress in Path Integration on Graphs and Manifolds

Oberwolfach reports, 2020-06, Vol.16 (2), p.1003-1042

2020

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Heat flow on Alexandrov spaces

Communications on pure and applied mathematics, 2012, p.1-23

2012

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On the equivalence of the entropic curvature-dimension condition and Bochner’s inequality on metric measure spaces

Convergence of time-inhomogeneous geodesic random walks and its application to coupling methods

Heat Flow on Alexandrov Spaces

A probabilistic approach to the maximal diameter theorem

Monotonicity and rigidity of the W-entropy on RCD(0,N) spaces

Rigidity for the spectral gap on Rcd(K, ∞)-spaces

Space-time Wasserstein controls and Bakry–Ledoux type gradient estimates

Duality on gradient estimates and Wasserstein controls

Laplace approximation for stochastic line integrals

Radial processes on RCD⁎(K,N) spaces

Monotonicity of Time-Dependent Transportation Costs and Coupling by Reflection

On large deviations for random currents induced from stochastic line integrals

CONVERGENCE OF TIME-INHOMOGENEOUS GEODESIC RANDOM WALKS AND ITS APPLICATION TO COUPLING METHODS

Monotonicity and rigidity of the $${\mathcal {W}}$$-entropy on $${\mathsf {RCD}} (0,N)$$ spaces

Large deviation for stochastic line integrals as Lp-currents

Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations

A coupling of Brownian motions in the $\mathcal{L}_0$-geometry

Non-explosion of diffusion processes on manifolds with time-dependent metric

Coupling of Brownian motions and Perelman's L -functional

Radial processes for sub-Riemannian Brownian motions and applications

Characterization of maximal Markovian couplings for diffusion processes

On Uniqueness of Maximal Coupling for Diffusion Processes with a Reflection

Equivalence between dimensional contractions in Wasserstein distance and the curvature-dimension condition

Mini-Workshop: Recent Progress in Path Integration on Graphs and Manifolds

Heat flow on Alexandrov spaces

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