Elia Bruè

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All published works

Action	Title	Year	Authors
+ PDF Chat	Fundamental groups and the Milnor conjecture	2025	Elia Bruè Aaron Naber Daniele Semola
+ PDF Chat	Lower Ricci Curvature Bounds and the Orientability of Spaces	2024	Camillo Brena Elia Brué Alessandro Pigati
+	Stability of tori under lower sectional curvature	2024	Elia Bruè Aaron Naber Daniele Semola
+	Enhanced Dissipation for Two-Dimensional Hamiltonian Flows	2024	Elia Bruè Michele Coti Zelati Elio Marconi
+	Instability and nonuniqueness in mathematical fluid dynamics	2024	Elia Bruè
+ PDF Chat	Flexibility of Two-Dimensional Euler Flows with Integrable Vorticity	2024	Elia Bruè Maria Colombo Anuj Kumar
+ PDF Chat	Topological regularity and stability of noncollapsed spaces with Ricci curvature bounded below	2024	Elia Bruè Alessandro Pigati Daniele Semola
+ PDF Chat	Sharp Nonuniqueness in the Transport Equation with Sobolev Velocity Field	2024	Elia Bruè Maria Colombo Anuj Kumar
+	Instability and Non-uniqueness for the 2D Euler Equations, after M. Vishik	2024	Dallas Albritton Elia Bruè Maria Colombo Camillo De Lellis Vikram Giri Maximilian Janisch Hyunju Kwon
+	0.1 Idea of the proof	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	A.3 Proof of Theorem 3.4	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	3.9 Proof of Proposition 3.17	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	B.4 Proof of Lemma 1.9	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	3.5 ODE Lemmas	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	2.3 Proof of Theorem 1.10: preliminary lemmas	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	4.1 Proof of Proposition 4.2	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	3.10 Proof of Lemma 3.19	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	3.7 Proof of Proposition 3.15: Part I	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	A.4 Proof of Proposition A.4	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	3.8 Proof of Proposition 3.15: Part II	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	3.4 Overview of the proof of Theorem 3.12	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	2.2 Proof of Theorem 2.4 and proof of Theorem 2.1(a)	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	3.6 Proof of Proposition 3.13	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	2.4 Proof of Theorem 1.10: conclusion	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	B.2 Proof of Theorem 0.3	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	B.3 Proof of Proposition 1.5	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	Instability and Non-uniqueness for the 2D Euler Equations, after M. Vishik	2024	Maria Colombo Vikram Giri Maximilian Janisch HyunjuVE Kwon Elia Bruè Dallas Albritton
+	Lecture XVII: The Benamou-Brenier Formula	2024	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture IV: Necessary and Sufficient Optimality Conditions	2024	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture V: Existence of Optimal Maps and Applications	2024	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture XI: Gradient Flows: An Introduction	2024	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture XVIII: An Introduction to Otto’s Calculus	2024	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture II: The Kantorovich Problem	2024	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture XII: Gradient Flows: The Brézis-Komura Theorem	2024	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture XIX: Heat Flow, Optimal Transport and Ricci Curvature	2024	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture III: The Kantorovich–Rubinstein Duality	2024	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture XIII: Examples of Gradient Flows in PDEs	2024	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture VII: The Monge-Ampére Equation and Optimal Transport on Riemannian Manifolds	2024	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture XVI: The Continuity Equation and the Hopf-Lax Semigroup	2024	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture VI: A Proof of the Isoperimetric Inequality and Stability in Optimal Transport	2024	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture X: Wasserstein Geodesics, Nonbranching and Curvature	2024	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lectures on Optimal Transport	2024	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture XV: Semicontinuity and Convexity of Energies in the Wasserstein Space	2024	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture I: Preliminary Notions and the Monge Problem	2024	Luigi Ambrosio Elia Bruè Daniele Semola
+ PDF Chat	Gluing Non-unique Navier–Stokes Solutions	2023	Dallas Albritton Elia Bruè Maria Colombo
+ PDF Chat	Nonuniqueness of Solutions to the Euler Equations with Vorticity in a Lorentz Space	2023	Elia Bruè Maria Colombo
+ PDF Chat	Onsager critical solutions of the forced Navier-Stokes equations	2023	Elia Bruè Maria Colombo Gianluca Crippa Camillo De Lellis Massimo Sorella
+ PDF Chat	The metric measure boundary of spaces with Ricci curvature bounded below	2023	Elia Bruè Andrea Mondino Daniele Semola
+ PDF Chat	Anomalous Dissipation for the Forced 3D Navier–Stokes Equations	2023	Elia Bruè Camillo De Lellis
+	Fundamental Groups and the Milnor Conjecture	2023	Elia Bruè Aaron Naber Daniele Semola
+	Stability of Tori under Lower Sectional Curvature	2023	Elia Bruè Aaron Naber Daniele Semola
+	Non-uniqueness in law of Leray solutions to 3D forced stochastic Navier-Stokes equations	2023	Elia Bruè Rui Jin Yachun Li Deng Zhang
+	Six dimensional counterexample to the Milnor Conjecture	2023	Elia Bruè Aaron Naber Daniele Semola
+ PDF Chat	A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics II	2022	Elia Bruè Mattia Calzi Giovanni E. Comi Giorgio Stefani
+ PDF Chat	Constancy of the dimension in codimension one and locality of the unit normal on $\RCD(K,N)$ spaces	2022	Elia Bruè Enrico Pasqualetto Daniele Semola
+ PDF Chat	Non-uniqueness of Leray solutions of the forced Navier-Stokes equations	2022	Dallas Albritton Elia Bruè Maria Colombo
+ PDF Chat	On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth	2022	Gioacchino Antonelli Elia Bruè Mattia Fogagnolo Marco Pozzetta
+	Rectifiability of the reduced boundary for sets of finite perimeter over $\operatorname{RCD}(K,N)$ spaces	2022	Elia Bruè Enrico Pasqualetto Daniele Semola
+ PDF Chat	Boundary regularity and stability for spaces with Ricci bounded below	2022	Elia Bruè Aaron Naber Daniele Semola
+	The metric measure boundary of spaces with Ricci curvature bounded below	2022	Elia Bruè Andrea Mondino Daniele Semola
+	Anomalous dissipation for the forced 3D Navier-Stokes equations	2022	Elia Bruè Camillo De Lellis
+	Gluing non-unique Navier-Stokes solutions	2022	Dallas Albritton Elia Bruè Maria Colombo
+	Enhanced dissipation for two-dimensional Hamiltonian flows	2022	Elia Bruè Michele Coti Zelati Elio Marconi
+	Onsager critical solutions of the forced Navier-Stokes equations	2022	Elia Bruè Maria Colombo Gianluca Crippa Camillo De Lellis Massimo Sorella
+ PDF Chat	Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields	2021	Elia Bruè Quoc‐Hung Nguyen
+ PDF Chat	Improved regularity estimates for Lagrangian flows on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si2.svg"><mml:mrow><mml:mo class="qopname">RCD</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mi>K</mml:mi><mml:mo>,</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> spaces	2021	Elia Bruè Qin Deng Daniele Semola
+ PDF Chat	Rectifiability of RCD(K,N) spaces via δ-splitting maps	2021	Elia Bruè Enrico Pasqualetto Daniele Semola
+ PDF Chat	Positive Solutions of Transport Equations and Classical Nonuniqueness of Characteristic curves	2021	Elia Bruè Maria Colombo Camillo De Lellis
+ PDF Chat	Advection Diffusion Equations with Sobolev Velocity Field	2021	Elia Bruè Quoc‐Hung Nguyen
+	Improved regularity estimates for Lagrangian flows on $\text{RCD}(K,N)$ spaces	2021	Elia Bruè Qin Deng Daniele Semola
+	Lecture 17: The Benamou–Brenier Formula	2021	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture 1: Preliminary Notions and the Monge Problem	2021	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture 5: Existence of Optimal Maps and Applications	2021	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture 13: Examples of Gradient Flows in PDEs	2021	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture 2: The Kantorovich Problem	2021	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture 9: Analysis on Metric Spaces and the Dynamic Formulation of Optimal Transport	2021	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture 16: The Continuity Equation and the Hopf-Lax Semigroup	2021	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture 19: Heat Flow, Optimal Transport and Ricci Curvature	2021	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture 3: The Kantorovich–Rubinstein Duality	2021	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture 4: Necessary and Sufficient Optimality Conditions	2021	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture 8: The Metric Side of Optimal Transport	2021	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture 12: Gradient Flows: The Brézis-Komura Theorem	2021	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture 7: The Monge-Ampére Equation and Optimal Transport on Riemannian Manifolds	2021	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture 6: A Proof of the Isoperimetric Inequality and Stability in Optimal Transport	2021	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture 10: Wasserstein Geodesics, Nonbranching and Curvature	2021	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture 18: An Introduction to Otto’s Calculus	2021	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture 15: Semicontinuity and Convexity of Energies in the Wasserstein Space	2021	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lecture 11: Gradient Flows: An Introduction	2021	Luigi Ambrosio Elia Bruè Daniele Semola
+	BV Functions and Sets of Finite Perimeter on Configuration Spaces	2021	Elia Bruè Kohei Suzuki
+	Constancy of the dimension in codimension one and locality of the unit normal on $\mathrm{RCD}(K,N)$ spaces	2021	Elia Bruè Enrico Pasqualetto Daniele Semola
+	Lectures on Optimal Transport	2021	Luigi Ambrosio Elia Bruè Daniele Semola
+	Instability and nonuniqueness for the $2d$ Euler equations in vorticity form, after M. Vishik	2021	Dallas Albritton Elia Bruè Maria Colombo Camillo De Lellis Vikram Giri Maximilian Janisch Hyunju Kwon
+	Non-uniqueness of Leray solutions of the forced Navier-Stokes equations	2021	Dallas Albritton Elia Bruè Maria Colombo
+	Nonuniqueness of solutions to the Euler equations with vorticity in a Lorentz space	2021	Elia Bruè Maria Colombo
+ PDF Chat	Linear Lipschitz and C1 extension operators through random projection	2020	Elia Bruè Simone Di Marino Federico Stra
+ PDF Chat	A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics II	2020	Elia Bruè Mattia Calzi Giovanni E. Comi Giorgio Stefani
+ PDF Chat	Sobolev estimates for solutions of the transport equation and ODE flows associated to non-Lipschitz drifts	2020	Elia Bruè Quoc‐Hung Nguyen
+	Rectifiability of RCD(K,N) spaces via $\delta$-splitting maps	2020	Elia Bruè Enrico Pasqualetto Daniele Semola
+	Boundary regularity and stability for spaces with Ricci bounded below	2020	Elia Bruè Aaron Naber Daniele Semola
+	Rectifiability of RCD(K,N) spaces via $δ$-splitting maps	2020	Elia Bruè Enrico Pasqualetto Daniele Semola
+ PDF Chat	A maximal function characterisation of absolutely continuous measures and Sobolev functions	2019	Elia Bruè Quoc‐Hung Nguyen Giorgio Stefani
+ PDF Chat	On the Sobolev space of functions with derivative of logarithmic order	2019	Elia Bruè Quoc‐Hung Nguyen
+	Regularity of Lagrangian flows over RCD<sup>*</sup>(<i>K</i>, <i>N</i>) spaces	2019	Elia Bruè Daniele Semola
+	Volume bounds for the quantitative singular strata of non collapsed RCD metric measure spaces	2019	Gioacchino Antonelli Elia Bruè Daniele Semola
+ PDF Chat	Rigidity of the 1-Bakry–Émery Inequality and Sets of Finite Perimeter in RCD Spaces	2019	Luigi Ambrosio Elia Bruè Daniele Semola
+ PDF Chat	Constancy of the Dimension for RCD(<i>K</i>,<i>N</i>) Spaces via Regularity of Lagrangian Flows	2019	Elia Bruè Daniele Semola
+	Sobolev estimates for solutions of the transport equation and ODE flows associated to non-Lipschitz drifts	2019	Elia Bruè Quoc‐Hung Nguyen
+	Rectifiability of the reduced boundary for sets of finite perimeter over RCD$(K,N)$ spaces	2019	Elia Bruè Enrico Pasqualetto Daniele Semola
+ PDF Chat	Volume Bounds for the Quantitative Singular Strata of Non Collapsed RCD Metric Measure Spaces	2019	Gioacchino Antonelli Elia Bruè Daniele Semola
+	Volume bounds for the quantitative singular strata of non collapsed RCD metric measure spaces	2019	Gioacchino Antonelli Elia Bruè Daniele Semola
+	Sobolev estimates for solutions of the transport equation and ODE flows associated to non-Lipschitz drifts	2019	Elia Bruè Quoc‐Hung Nguyen
+	Rigidity of the 1-Bakry-\'Emery inequality and sets of finite perimeter in RCD spaces	2018	Luigi Ambrosio Elia Bruè Daniele Semola
+	Lusin-type approximation of Sobolev by Lipschitz functions, in Gaussian and RCD(K,∞) spaces	2018	Luigi Ambrosio Elia Bruè Dario Trevisan
+	A maximal function characterization of absolutely continuous measures and Sobolev functions	2018	Elia Bruè Quoc‐Hung Nguyen Giorgio Stefani
+	On the Sobolev space of functions with derivative of logarithmic order	2018	Elia Bruè Quoc‐Hung Nguyen
+	Constancy of the dimension for RCD(K,N) spaces via regularity of Lagrangian flows	2018	Elia Bruè Daniele Semola
+	Regularity of Lagrangian flows over $RCD^*(K,N)$ spaces	2018	Elia Bruè Daniele Semola
+	Linear Lipschitz and $C^1$ extension operators through random projection	2018	Elia Bruè Simone Di Marino Federico Stra
+	On the Sobolev space of functions with derivative of logarithmic order	2018	Elia Bruè Quoc‐Hung Nguyen
+	Constancy of the dimension for RCD(K,N) spaces via regularity of Lagrangian flows	2018	Elia Bruè Daniele Semola
+	Rigidity of the 1-Bakry-Émery inequality and sets of finite perimeter in RCD spaces	2018	Luigi Ambrosio Elia Bruè Daniele Semola
+	Linear Lipschitz and $C^1$ extension operators through random projection	2018	Elia Bruè Simone Di Marino Federico Stra
+	Regularity of Lagrangian flows over $RCD^*(K,N)$ spaces	2018	Elia Bruè Daniele Semola
+	Lusin-type approximation of Sobolev by Lipschitz functions, in Gaussian and $RCD(K,\infty)$ spaces	2017	Luigi Ambrosio Elia Bruè Dario Trevisan

Common Coauthors

Coauthor	Papers Together
Daniele Semola	67
Luigi Ambrosio	37
Maria Colombo	30
Dallas Albritton	24
Vikram Giri	20
Maximilian Janisch	20
HyunjuVE Kwon	18
Quoc‐Hung Nguyen	10
Enrico Pasqualetto	7
Aaron Naber	7
Camillo De Lellis	7
Gioacchino Antonelli	4
Giorgio Stefani	4
Luigi Ambrosio	4
Federico Stra	3
Simone Di Marino	3
Mattia Calzi	2
Gianluca Crippa	2
Elio Marconi	2
Giovanni E. Comi	2
Hyunju Kwon	2
Alessandro Pigati	2
Qin Deng	2
Massimo Sorella	2
Andrea Mondino	2
Dario Trevisan	2
Michele Coti Zelati	2
Maria Colombo	1
Marco Pozzetta	1
Anuj Kumar	1
Anuj Kumar	1
Camillo Brena	1
Yachun Li	1
Mattia Fogagnolo	1
Deng Zhang	1
Kohei Suzuki	1
Rui Jin	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Ricci curvature for metric-measure spaces via optimal transport	2009	John Lott Cédric Villani	18
+	Ordinary differential equations, transport theory and Sobolev spaces	1989	Ronald J. DiPerna Pierre Louis Lions	17
+ PDF Chat	On the equivalence of the entropic curvature-dimension condition and Bochner’s inequality on metric measure spaces	2014	Matthias Erbar Kazumasa Kuwada Karl-Theodor Sturm	15
+ PDF Chat	Metric measure spaces with Riemannian Ricci curvature bounded from below	2014	Luigi Ambrosio Nicola Gigli Giuseppe Savaré	15
+ PDF Chat	On the geometry of metric measure spaces. II	2006	Karl‐Theodor Sturm	14
+	Transport equation and Cauchy problem for BV vector fields	2004	Luigi Ambrosio	14
+	Riemannian Ricci curvature lower bounds in metric measure spaces with 𝜎-finite measure	2015	Luigi Ambrosio Nicola Gigli Andrea Mondino Tapio Rajala	13
+ PDF Chat	On the differential structure of metric measure spaces and applications	2014	Nicola Gigli	13
+ PDF Chat	Non-collapsed spaces with Ricci curvature bounded from below	2018	Guido De Philippis Nicola Gigli	13
+	Lower Bounds on Ricci Curvature and the Almost Rigidity of Warped Products	1996	Jeff Cheeger Tobias Colding	13
+	Functions of bounded variation on “good” metric spaces	2003	Michele Miranda	12
+ PDF Chat	Structure theory of metric measure spaces with lower Ricci curvature bounds	2019	Andrea Mondino Aaron Naber	12
+ PDF Chat	Estimates and regularity results for the DiPerna-Lions flow	2008	Gianluca Crippa Camillo De Lellis	12
+	Optimal Transport: Old and New	2013	Cédric Villani	12
+ PDF Chat	Well-posedness of Lagrangian flows and continuity equations in metric measure spaces	2014	Luigi Ambrosio Dario Trevisan	11
+ PDF Chat	On the structure of spaces with Ricci curvature bounded below. I	1997	Jeff Cheeger Tobias Colding	11
+	Nonsmooth Differential Geometry: An Approach Tailored for Spaces With Ricci Curvature Bounded from Below	2017	Nicola Gigli	11
+ PDF Chat	On the volume measure of non-smooth spaces with Ricci curvature bounded below	2018	Martin Kell Andrea Mondino	10
+ PDF Chat	Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows	2015	Nicola Gigli Andrea Mondino Giuseppe Savaré	10
+	Optimal Transport	2008	Cédric Villani	10
+	Equivalent definitions of BV space and of total variation on metric measure spaces	2014	Luigi Ambrosio Simone Di Marino	9
+	Localization and tensorization properties of the curvature-dimension condition for metric measure spaces	2010	Kathrin Bacher Karl‐Theodor Sturm	9
+ PDF Chat	Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications	2012	Tobias Colding Aaron Naber	9
+	Gradient Flows: In Metric Spaces and in the Space of Probability Measures	2005	Luigi Ambrosio Nicola Gigli Giuseppe Savaré	9
+	New stability results for sequences of metric measure spaces with uniform Ricci bounds from below	2017	Luigi Ambrosio Shouhei Honda	9
+ PDF Chat	On the geometry of metric measure spaces	2006	Karl‐Theodor Sturm	9
+	CALCULUS, HEAT FLOW AND CURVATURE-DIMENSION BOUNDS IN METRIC MEASURE SPACES	2019	Luigi Ambrosio	9
+	Differentiability of Lipschitz Functions on Metric Measure Spaces	1999	Jeff Cheeger	8
+ PDF Chat	Nonsmooth differential geometry– An approach tailored for spaces with Ricci curvature bounded from below	2017	Luigi Ambrosio Andrea Mondino Giuseppe Savaré	8
+ PDF Chat	From volume cone to metric cone in the nonsmooth setting	2016	Guido De Philippis Nicola Gigli	8
+ PDF Chat	Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in $RCD (K, \infty)$ metric measure spaces	2013	Giuseppe Savaré	8
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	8
+ PDF Chat	Euclidean spaces as weak tangents of infinitesimally Hilbertian metric measure spaces with Ricci curvature bounded below	2013	Nicola Gigli Andrea Mondino Tapio Rajala	8
+ PDF Chat	Regularity of Einstein manifolds and the codimension 4 conjecture	2015	Jeff Cheeger Aaron Naber	8
+ PDF Chat	Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces	2019	Luigi Ambrosio Andrea Mondino Giuseppe Savaré	7
+ PDF Chat	Heat Kernel Bounds on Metric Measure Spaces and Some Applications	2015	Renjin Jiang Huaiqian Li Hui-Chun Zhang	7
+	Riemannian Geometry	2016	Peter Petersen	7
+	The splitting theorem in non-smooth context	2013	Nicola Gigli	6
+ PDF Chat	Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below	2013	Luigi Ambrosio Nicola Gigli Giuseppe Savaré	6
+	Continuity equations and ODE flows with non-smooth velocity	2014	Luigi Ambrosio Gianluca Crippa	6
+ PDF Chat	Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces	2013	Luigi Ambrosio Nicola Gigli Giuseppe Savaré	6
+ PDF Chat	Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields	2021	Elia Bruè Quoc‐Hung Nguyen	6
+	Rectifiability of Singular Sets in Noncollapsed Spaces with Ricci Curvature bounded below	2018	Jeff Cheeger Wenshuai Jiang Aaron Naber	6
+ PDF Chat	Volume Bounds for the Quantitative Singular Strata of Non Collapsed RCD Metric Measure Spaces	2019	Gioacchino Antonelli Elia Bruè Daniele Semola	6
+	Ricci Curvature and Volume Convergence	1997	Tobias Colding	6
+	The Globalization Theorem for the Curvature Dimension Condition	2016	Fabio Cavalletti Emanuel Milman	6
+	Some Nonlinear Problems in Riemannian Geometry	1998	Thierry Aubin	6
+ PDF Chat	Lower bounds on Ricci curvature and quantitative behavior of singular sets	2012	Jeff Cheeger Aaron Naber	6
+	Independence on p of weak upper gradients on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="sans-serif">RCD</mml:mi></mml:math> spaces	2016	Nicola Gigli Bang-Xian Han	6
+	Alexandrov meets Lott--Villani--Sturm	2010	Anton Petrunin	6