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#Isoperimetric Inequalities

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Hausdorff Center for Mathematics

Isoperimetric and Poincaré Inequalities on the Hamming Cube

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Explore isoperimetric inequalities on the Hamming cube near and at the critical exponent 1/2, as well as closely related L1 Poincaré inequalities in this one-hour lecture. Delve into joint research conducted with P. Durcik and P. Ivanisvili, focusing on…
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1 Lesons
1 hour
On-Demand
Free-Video
Hausdorff Center for Mathematics

Dimension-Free Sobolev-Type Embeddings in the Gauss Space

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Explore dimension-free Sobolev-type embeddings in Gauss space, extending Gross' logarithmic Sobolev inequality and examining Orlicz spaces, higher-order derivatives, and Gaussian isoperimetric inequality.
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1 Lesons
51 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Desigualdade Isoperimétrica - PAPMEM Janeiro 2024

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Explore a desigualdade isoperimétrica em matemática avançada. Aprofunde seus conhecimentos sobre geometria e cálculo, aprimorando suas habilidades de ensino no nível médio.
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1 Lesons
56 minutes
On-Demand
Free-Video
Google TechTalks

Private Convex Optimization via Exponential Mechanism - Differential Privacy for Machine Learning

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Explore private convex optimization using the exponential mechanism. Learn differential privacy, noisy SGD, and isoperimetric inequality for ML applications.
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21 Lesons
53 minutes
On-Demand
Free-Video
International Mathematical Union

Ehud Friedgut- KKL’s Influence on Me

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Explore KKL theorem, hypercontractivity, graph properties, isoperimetric inequalities, and intersecting families in this mathematical journey through influential concepts and applications.
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15 Lesons
45 minutes
On-Demand
Free-Video
ICTP Mathematics

Metric Currents, Isoperimetric Inequalities, and Compactness

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Explore metric currents, isoperimetric inequalities, and compactness in geometric measure theory. Gain insights from expert S. Wenger on nonpositive sectional curvature and growth types in metric spaces.
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14 Lesons
1 hour 50 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Isoperimetric Inequality for Hausdorff Contents and Its Applications

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Explore isoperimetric inequality for Hausdorff contents, its applications in systolic geometry, and new systolic inequalities for non-simply connected Riemannian manifolds.
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1 Lesons
54 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Yevgeny Liokumovich - Urysohn Width, Isoperimetric Inequalities and Scalar Curvature

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Explore metric spaces, Hausdorff measure, and continuous mappings. Discover connections to isoperimetric inequalities and Riemannian geometry's positive scalar curvature.
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1 Lesons
49 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Variational Proofs of Isoperimetric Inequalities

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Explore variational proofs of isoperimetric inequalities, their generalizations, and open problems in this advanced mathematics lecture by Steven Heilman at IPAM's workshop.
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1 Lesons
31 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Blaschke–Santaló Inequalities for Minkowski and Asplund Endomorphisms

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Explores new isoperimetric inequalities for monotone Minkowski endomorphisms, extending to Asplund endomorphisms of log-concave functions, generalizing the Blaschke–Santaló inequality in convex geometric analysis.
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1 Lesons
43 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Dylan Langharst: Higher-Order Affine Isoperimetric Inequalities

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Explores extensions of geometric inequalities to higher-order bodies, including projection, centroid, LYZ, and radial mean bodies, with proofs of associated inequalities in convex geometry.
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1 Lesons
27 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Synthetic Time-like Ricci Curvature Lower Bounds: The Isoperimetric Inequality

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Explore synthetic timelike Ricci curvature lower bounds and their implications for isoperimetric inequality in Lorentzian synthetic spaces.
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1 Lesons
38 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

A Sharp Isoperimetric-Type Inequality for Lorentzian Spaces Satisfying Time-Like Ricci Curvature Lower Bounds

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Explore sharp isoperimetric-type inequalities in Lorentzian spaces with time-like Ricci curvature bounds, including applications to black holes and cosmological space-times.
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1 Lesons
49 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

On the Rearrangement of a Function and Its Applications

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Explore classical results and applications of function rearrangement, including recent developments in shape and topology optimization.
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1 Lesons
39 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

On Blaschke-Santaló Diagrams in Shape Optimization

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Explore Blaschke-Santaló diagrams in shape optimization with Ilaria Lucardesi. Gain insights into new perspectives on this mathematical topic.
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1 Lesons
39 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Inverse Results for Isoperimetric Inequalities - Lecture 4

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Explore inverse isoperimetric problems in graphs, focusing on the Fourier-Entropy-Influence conjecture and related inequalities. Progress and applications in PAC learning discussed.
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1 Lesons
1 hour 19 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Inverse Results for Isoperimetric Inequalities - Lecture 3

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Explore inverse isoperimetric problems in graphs, focusing on the Fourier-Entropy-Influence conjecture and related inequalities. Progress and applications discussed.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Inverse Results for Isoperimetric Inequalities - Part II

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Explores inverse isoperimetric problems in graphs, focusing on the Fourier-Entropy-Influence conjecture and related inequalities, with applications to PAC learning and other areas.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Inverse Results for Isoperimetric Inequalities - Part I

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Explore inverse isoperimetric problems in graphs, focusing on the Fourier-Entropy-Influence conjecture and related inequalities. Discover applications to PAC learning and recent progress in the field.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 4 Part 4

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture in this advanced mathematics lecture.
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1 Lesons
38 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 4, Part 3

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture. Gain insights from expert Joseph Lehec in this advanced mathematics lecture.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 4 Part 2

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture. Gain insights from expert Bo'az Klartag.
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1 Lesons
48 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 3, Part 3

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture. Gain insights from expert Joseph Lehec in this advanced mathematics lecture.
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1 Lesons
55 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 4 Part 1

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture with Bo'az Klartag.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 3, Part 4

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture in this advanced mathematics lecture.
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1 Lesons
51 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 3 Part 2

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture. Gain insights from expert Bo'az Klartag.
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1 Lesons
48 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 3 Part 1

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture with Bo'az Klartag.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 2, Part 3

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture. Gain insights from expert Joseph Lehec in this advanced mathematics lecture.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 2, Part 4

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture in this advanced mathematics lecture.
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1 Lesons
36 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 2, Part 2

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture with Bo'az Klartag.
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1 Lesons
46 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 2, Part 1

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture with Bo'az Klartag.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 1, Part 3

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture. Gain insights from expert Joseph Lehec in this advanced mathematics lecture.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 1, Part 4

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture in this advanced mathematics lecture.
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1 Lesons
44 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 1, Part 2

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture. Gain insights from expert Bo'az Klartag.
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1 Lesons
51 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 1, Part 1

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Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture. Gain insights from expert Bo'az Klartag in this advanced mathematics lecture.
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1 Lesons
59 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

New Isoperimetric Inequalities and Their Applications to Systolic Geometry and Minimal Surfaces

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Explore new isoperimetric inequalities for k-dimensional submanifolds, their applications to systolic geometry, and implications for minimal submanifolds in this mathematical colloquium.
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1 Lesons
52 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Minimal Surfaces and the Isoperimetric Inequality

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Explore the generalization of the isoperimetric inequality to submanifolds in Euclidean space, focusing on minimal submanifolds and their sharp isoperimetric properties.
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1 Lesons
55 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

How to Prove Isoperimetric Inequalities by Random Sampling

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Explore isoperimetric inequalities through random sampling. Learn probabilistic approaches to Lp affine isoperimetric inequalities in non-convex ranges, bridging Brunn-Minkowski and dual theories.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Parametric Geometric Inequalities and Weyl Law for the Volume Spectrum

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Explore parametric geometric inequalities and their connection to the volume spectrum, examining proofs, applications, and implications for minimal surfaces and stationary geodesic nets.
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1 Lesons
58 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Finite Crystallization via Stratification in Two-Dimensional Square Lattices

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Explore new techniques for proving 2D crystallization in square lattices using stratification methods and bond graph analysis for finite particle systems.
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1 Lesons
39 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

The Eldan-Gross Inequality - From Boolean Functions to Continuous Spaces

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Delve into advanced mathematical concepts exploring the Eldan-Gross inequality, sensitivity of Boolean functions, and heat semigroup analysis through hypercontractivity and isoperimetric approaches.
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1 Lesons
53 minutes
On-Demand
Free-Video
Institute for Advanced Study

Linear Stability of the Brunn-Minkowski Inequality

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Delve into advanced mathematical concepts exploring the linear stability of Brunn-Minkowski inequality, examining volume control in convex geometry and its connections to additive combinatorics.
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1 Lesons
1 hour 58 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Some Conjectures Relating the Optimality of Dictator Functions and Connections to Discrete Isoperimetric Inequalities

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Delve into advanced mathematical concepts exploring dictator functions, entropy, and discrete isoperimetric inequalities in relation to the Hamming cube and Talagrand-Bobkov studies.
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1 Lesons
35 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Sharp Isoperimetric Inequalities on the Hamming Cube

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Delve into advanced isoperimetric problems on the Hamming cube, exploring Talagrand's interpolation theory and two-point inequalities in mathematical analysis.
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1 Lesons
1 hour 22 minutes
On-Demand
Free-Video