Takumi Yokota

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All published works

Action	Title	Year	Authors
+	Boundedness of measured Gromov-Hausdorff precompact sets of metric measure spaces in pyramids	2022	Daisuke Kazukawa Takumi Yokota
+ PDF Chat	Boundedness of precompact sets of metric measure spaces	2021	Daisuke Kazukawa Takumi Yokota
+	Boundedness of precompact sets of metric measure spaces	2021	Daisuke Kazukawa Takumi Yokota
+	Stability of RCD condition under concentration topology	2019	Ryunosuke Ozawa Takumi Yokota
+	A gap theorem for ancient solutions to the Ricci flow	2019	Takumi Yokota
+	Law of large numbers in CAT(1)-spaces of small radii	2018	Takumi Yokota
+ PDF Chat	Convex functions and $p$-barycenter on CAT(1)-spaces of small radii	2017	Takumi Yokota
+	Complete ancient solutions to the Ricci flow with pinched curvature	2017	Takumi Yokota
+	Convex functions and barycenter on CAT(1)-spaces of small radii	2016	Takumi Yokota
+	On the spread of positively curved Alexandrov spaces	2013	Takumi Yokota
+ PDF Chat	CONE STRUCTURE OF L<sup>2</sup>-WASSERSTEIN SPACES	2012	Asuka Takatsu Takumi Yokota
+	On the filling radius of positively curved Alexandrov spaces	2012	Takumi Yokota
+ PDF Chat	Addendum to “Perelman’s reduced volume and a gap theorem for the Ricci flow”	2012	Takumi Yokota
+ PDF Chat	A rigidity theorem in Alexandrov spaces with lower curvature bound	2011	Takumi Yokota
+ PDF Chat	On the asymptotic reduced volume of the Ricci flow	2009	Takumi Yokota
+	Comparison geometry of ancient solutions to the Ricci flow	2009	Takumi Yokota 巧横田
+	A rigidity theorem in Alexandrov spaces with lower curvature bound	2009	Takumi Yokota
+	On the asymptotic reduced volume of the Ricci flow	2009	Takumi Yokota
+ PDF Chat	Perelman’s reduced volume and a gap theorem for the Ricci flow	2009	Takumi Yokota
+	Curvature integrals under the Ricci flow on surfaces	2008	Takumi Yokota
+	Perelman's reduced volume and a gap theorem for the Ricci flow	2008	Takumi Yokota
+	Cone structure of $L^2$-Wasserstein spaces	2008	Asuka Takatsu Takumi Yokota

Common Coauthors

Coauthor	Papers Together
Daisuke Kazukawa	3
Asuka Takatsu	2
巧横田	1
Ryunosuke Ozawa	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A Course in Metric Geometry	2001	Dmitri Burago Yuri Burago S. V. Ivanov	9
+	The entropy formula for the Ricci flow and its geometric applications	2002	Grisha Perelman	8
+ PDF Chat	Sharp logarithmic Sobolev inequalities on gradient solitons and applications	2009	José A. Carrillo Nei Ni	7
+ PDF Chat	Mean Value Theorems on Manifolds	2007	Lei Ni	6
+ PDF Chat	On the $l$-function and the reduced volume of Perelman I	2007	Rugang Ye	6
+ PDF Chat	The entropy formula for linear heat equation	2004	Lei Ni	5
+	Metric Structures for Riemannian and Non-Riemannian Spaces	2007	Mikhael Gromov	5
+ PDF Chat	Entropy and reduced distance for Ricci expanders	2005	Michael Feldman Tom Ilmanen Lei Ni	5
+	A Compactness Property for Solutions of the Ricci Flow	1995	Richard S. Hamilton	4
+ PDF Chat	Strong uniqueness of the Ricci flow	2009	Bing-Long Chen	4
+	Quasilinearization and curvature of Aleksandrov spaces	2008	Ina Berg Igor Nikolaev	4
+ PDF Chat	Local monotonicity and mean value formulas for evolving Riemannian manifolds	2008	Klaus Ecker Dan Knopf Lei Ni Peter M. Topping	4
+ PDF Chat	A matrix Li-Yau-Hamilton estimate for Kähler-Ricci flow	2007	Luqun Ni	4
+	Barycenters in Alexandrov spaces of curvature bounded below	2012	Shin‐ichi Ohta	4
+ PDF Chat	On the completeness of gradient Ricci solitons	2009	Zhuhong Zhang	4
+	A splitting theorem for infinite dimensional Alexandrov spaces with nonnegative curvature and its applications	2009	Ayato Mitsuishi	4
+	Gaussian densities and stability for some Ricci solitons	2004	Huai-Dong Cao Richard S. Hamilton Tom Ilmanen	4
+	Transport inequalities, gradient estimates, entropy and Ricci curvature	2004	Max‐K. von Renesse Karl‐Theodor Sturm	4
+	The Ricci Flow: Techniques and Applications	2007	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lü Feng Luo Lei Ni	4
+	Ricci flow, entropy and optimal transportation	2010	Robert J. McCann Peter M. Topping	4
+	Large Time Behavior of the Heat Equation on Complete Manifolds with Non-Negative Ricci Curvature	1986	Peter Li	4
+ PDF Chat	Optimal transport and Perelman’s reduced volume	2009	John Lott	4
+	Hard and Soft Packing Radius Theorems	1995	Karsten Grove Frederick Wilhelm	4
+	Convergence and rigidity of manifolds under Ricci curvature bounds	1990	Michael T. Anderson	4
+ PDF Chat	On the structure of spaces with Ricci curvature bounded below. I	1997	Jeff Cheeger Tobias Colding	4
+	Optimal Transport: Old and New	2013	Cédric Villani	4
+	Convexities of metric spaces	2007	Shin‐ichi Ohta	3
+	Regularity Theory for Mean Curvature Flow	2004	Klaus Ecker	3
+ PDF Chat	Perelman’s reduced volume and a gap theorem for the Ricci flow	2009	Takumi Yokota	3
+ PDF Chat	Notes on Perelman’s papers	2008	Bruce Kleiner John Lott	3
+	Metric Spaces of Curvature ⩾ k	2001	Conrad Plaut	3
+ PDF Chat	Nonconvex minimization problems	1979	Ivar Ekeland	3
+	Strong Uniqueness of the Ricci Flow	2007	Bing-Long Chen	3
+ PDF Chat	On the geometry of metric measure spaces. II	2006	Karl‐Theodor Sturm	3
+	Kirszbraun's Theorem and Metric Spaces of Bounded Curvature	1997	Urs Lang Viktor Schroeder	3
+	Equilibrium maps between metric spaces	1994	Jürgen Jost	3
+	Reduced distance based at singular time in the Ricci flow	2007	Joerg Enders	3
+ PDF Chat	Riemannian $L^{p}$ center of mass: Existence, uniqueness, and convexity	2010	Bijan Afsari	3
+	Convexity and the Hemisphere	1991	Wilfrid S. Kendall	3
+ PDF Chat	An alternative proof of Berg and Nikolaev’s characterization of CAT(0)-spaces via quadrilateral inequality	2009	Takashi Satō	3
+ PDF Chat	A rigidity theorem in Alexandrov spaces with lower curvature bound	2011	Takumi Yokota	3
+	Constrained and linear Harnack inequalities for parabolic equations	1997	Bennett Chow Richard S. Hamilton	3
+	The Variational Formulation of the Fokker--Planck Equation	1998	Richard W. Jordan David Kinderlehrer Félix Otto	3
+	On the Jordan–Kinderlehrer–Otto variational scheme and constrained optimization in the Wasserstein metric	2007	Adrian Tudorascu	3
+	Metric Measure Geometry	2015	Takashi Shioya	3
+ PDF Chat	Filling Riemannian manifolds	1983	Mikhael Gromov	2
+	Probability, Convexity, and Harmonic Maps with Small Image I: Uniqueness and Fine Existence	1990	Wilfrid S. Kendall	2
+	On the topology of complete manifolds of non-negative Ricci curvature	1990	Michael T. Anderson	2
+ PDF Chat	Deforming the metric on complete Riemannian manifolds	1989	Wan-Xiong Shi	2
+ PDF Chat	The Riemannian structure of Alexandrov spaces	1994	Yukio Otsu Takashi Shioya	2