CRM Proceedings and Lecture Notes - Analysis and Geometry of Metric Measure Spaces
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Published By American Mathematical Society

9780821894187, 9781470415907

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A visual introduction to Riemannian curvatures and some discrete generalizations

CRM Proceedings and Lecture Notes - Analysis and Geometry of Metric Measure Spaces ◽

10.1090/crmp/056/08 ◽

2013 ◽

pp. 197-220 ◽

Author(s):

Yann Ollivier

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Heat kernel estimates, Sobolev-type inequalities and Riesz transform on noncompact Riemannian manifolds

CRM Proceedings and Lecture Notes - Analysis and Geometry of Metric Measure Spaces ◽

10.1090/crmp/056/03 ◽

2013 ◽

pp. 55-65 ◽

Author(s):

Thierry Coulhon

Keyword(s):

Heat Kernel ◽

Riemannian Manifolds ◽

Riesz Transform ◽

Sobolev Type ◽

Kernel Estimates ◽

Heat Kernel Estimates ◽

Noncompact Riemannian Manifolds

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Analysis on the Sierpinski carpet

CRM Proceedings and Lecture Notes - Analysis and Geometry of Metric Measure Spaces ◽

10.1090/crmp/056/02 ◽

2013 ◽

pp. 27-53 ◽

Author(s):

M. Barlow

Keyword(s):

Sierpinski Carpet ◽

Sierpiński Carpet

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A proof of Bobkov’s spectral bound for convex domains via Gaussian fitting and free energy estimation

CRM Proceedings and Lecture Notes - Analysis and Geometry of Metric Measure Spaces ◽

10.1090/crmp/056/07 ◽

2013 ◽

pp. 181-196

Author(s):

Emanuel Milman

Keyword(s):

Free Energy ◽

Convex Domains ◽

Energy Estimation ◽

Spectral Bound ◽

Gaussian Fitting

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Five lectures on optimal transportation: Geometry, regularity and applications

CRM Proceedings and Lecture Notes - Analysis and Geometry of Metric Measure Spaces ◽

10.1090/crmp/056/06 ◽

2013 ◽

pp. 145-180 ◽

Author(s):

Robert McCann ◽

Nestor Guillen

Keyword(s):

Optimal Transportation

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Lectures on Ma-Trudinger-Wang curvature and regularity of optimal transport maps

CRM Proceedings and Lecture Notes - Analysis and Geometry of Metric Measure Spaces ◽

10.1090/crmp/056/05 ◽

2013 ◽

pp. 119-143

Author(s):

Young-Heon Kim

Keyword(s):

Optimal Transport ◽

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An overview on calculus and heat flow in metric measure spaces and spaces with Riemannian curvature bounded from below

CRM Proceedings and Lecture Notes - Analysis and Geometry of Metric Measure Spaces ◽

10.1090/crmp/056/01 ◽

2013 ◽

pp. 1-25 ◽

Author(s):

Luigi Ambrosio

Keyword(s):

Heat Flow ◽

Riemannian Curvature ◽

Metric Measure Spaces ◽

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Regularity of minimal and almost minimal sets and cones: J. Taylor’s theorem for beginners

CRM Proceedings and Lecture Notes - Analysis and Geometry of Metric Measure Spaces ◽

10.1090/crmp/056/04 ◽

2013 ◽

pp. 67-117 ◽

Author(s):

Guy David

Keyword(s):

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