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#Poincaré inequality

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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
Centre de recherches mathématiques - CRM

Dirichlet-to-Neumann Map for the p-Laplacian on Metric Measure Spaces

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Explore the Dirichlet-to-Neumann map for p-Laplacian on metric measure spaces. Delve into Newton-Sobolev spaces, trace classes, and Besov functions in the context of Dirichlet and Neumann problems.
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1 Lesons
53 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Random Graphs and Nonlinear Spectral Gaps

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Explore discrete Poincaré inequalities in regular expander graphs, long-range expansion properties, and their implications for Banach space-valued functions, with improved estimates for Poincaré constants.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Institute for Advanced Study

On Chen’s Recent Breakthrough on the Kannan-Lovasz-Simonovits Conjecture and Bourgain's Slicing Problem - Part III

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Explore Chen's breakthrough on the KLS conjecture and Bourgain's slicing problem, covering key mathematical concepts, historical context, and implications for discrete mathematics and computer science.
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20 Lesons
1 hour 53 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Alexander Volberg - Poincaré Inequalities on Hamming Cube - Analysis, Combinatorics, Probability

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Explore improved L^1-Poincaré inequality constants on Hamming cube, comparing with Gaussian space. Discuss proofs, estimates, and related mathematical concepts in analysis, combinatorics, and probability theory.
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18 Lesons
45 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Functional Inequalities and Concentration of Measure I

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Explore concentration inequalities in probability and geometric analysis, focusing on functional inequalities and their applications to Lipschitz functions in continuous and discrete settings.
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12 Lesons
47 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Functional Inequalities and Concentration of Measure III

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Explores concentration inequalities in probability and geometric analysis, focusing on functional inequalities like Poincaré and log-Sobolev. Covers properties, applications to Lipschitz functions, and various measure settings.
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1 Lesons
49 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Functional Inequalities and Concentration of Measure II

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Explores concentration inequalities in probability and geometric analysis, focusing on functional inequalities like Poincaré and log-Sobolev. Covers properties, applications to Lipschitz functions, and various measure settings.
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1 Lesons
48 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Looking for p-Energy Forms in Cheeger Spaces

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Explore p-energy forms in Cheeger spaces without relying on gradients. Learn about constructing these forms using characteristic features of Cheeger metric measure spaces.
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1 Lesons
47 minutes
On-Demand
Free-Video
Stony Brook Mathematics

Uniform Volume Doubling and Functional Inequalities on Lie Groups

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Explore functional inequalities on Lie groups, focusing on uniform volume doubling and its implications for SU(2) and related structures. Gain insights into heat kernel estimates and measure contracting properties.
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1 Lesons
58 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Spectral Gap Estimates for the Random Field Ising Model - Lecture

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Spectral gap estimates for random field Ising model: convergence rates, Glauber dynamics, Griffiths phase. Combines stochastic localization and percolation-theoretic coarse-graining techniques.
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1 Lesons
44 minutes
On-Demand
Free-Video
Simons Institute

Quantum Gibbs Samplers: Simulation and Convergence Analysis

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Delve into quantum Gibbs sampling through Lindblad dynamics, exploring efficient sampling methods and convergence properties in open quantum systems.
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1 Lesons
49 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

On Gilles Pisier's Approach to Gaussian Concentration, Isoperimetry, and Poincare-Type Inequalities

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Explore advanced mathematical concepts in measure concentration, isoperimetry, and Poincaré-type inequalities through Pisier's approach and its extensions to rotationally invariant distributions.
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1 Lesons
54 minutes
On-Demand
Free-Video