Isoperimetric and Poincaré Inequalities on the Hamming Cube
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…
Dimension-Free Sobolev-Type Embeddings in the Gauss Space
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.
Desigualdade Isoperimétrica - PAPMEM Janeiro 2024
Explore a desigualdade isoperimétrica em matemática avançada. Aprofunde seus conhecimentos sobre geometria e cálculo, aprimorando suas habilidades de ensino no nível médio.
Private Convex Optimization via Exponential Mechanism - Differential Privacy for Machine Learning
Explore private convex optimization using the exponential mechanism. Learn differential privacy, noisy SGD, and isoperimetric inequality for ML applications.
Ehud Friedgut- KKL’s Influence on Me
Explore KKL theorem, hypercontractivity, graph properties, isoperimetric inequalities, and intersecting families in this mathematical journey through influential concepts and applications.
Metric Currents, Isoperimetric Inequalities, and Compactness
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.
Isoperimetric Inequality for Hausdorff Contents and Its Applications
Explore isoperimetric inequality for Hausdorff contents, its applications in systolic geometry, and new systolic inequalities for non-simply connected Riemannian manifolds.
Yevgeny Liokumovich - Urysohn Width, Isoperimetric Inequalities and Scalar Curvature
Explore metric spaces, Hausdorff measure, and continuous mappings. Discover connections to isoperimetric inequalities and Riemannian geometry's positive scalar curvature.
Variational Proofs of Isoperimetric Inequalities
Explore variational proofs of isoperimetric inequalities, their generalizations, and open problems in this advanced mathematics lecture by Steven Heilman at IPAM's workshop.
Blaschke–Santaló Inequalities for Minkowski and Asplund Endomorphisms
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.
Dylan Langharst: Higher-Order Affine Isoperimetric Inequalities
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.
Synthetic Time-like Ricci Curvature Lower Bounds: The Isoperimetric Inequality
Explore synthetic timelike Ricci curvature lower bounds and their implications for isoperimetric inequality in Lorentzian synthetic spaces.
A Sharp Isoperimetric-Type Inequality for Lorentzian Spaces Satisfying Time-Like Ricci Curvature Lower Bounds
Explore sharp isoperimetric-type inequalities in Lorentzian spaces with time-like Ricci curvature bounds, including applications to black holes and cosmological space-times.
On the Rearrangement of a Function and Its Applications
Explore classical results and applications of function rearrangement, including recent developments in shape and topology optimization.
On Blaschke-Santaló Diagrams in Shape Optimization
Explore Blaschke-Santaló diagrams in shape optimization with Ilaria Lucardesi. Gain insights into new perspectives on this mathematical topic.
Inverse Results for Isoperimetric Inequalities - Lecture 4
Explore inverse isoperimetric problems in graphs, focusing on the Fourier-Entropy-Influence conjecture and related inequalities. Progress and applications in PAC learning discussed.
Inverse Results for Isoperimetric Inequalities - Lecture 3
Explore inverse isoperimetric problems in graphs, focusing on the Fourier-Entropy-Influence conjecture and related inequalities. Progress and applications discussed.
Inverse Results for Isoperimetric Inequalities - Part II
Explores inverse isoperimetric problems in graphs, focusing on the Fourier-Entropy-Influence conjecture and related inequalities, with applications to PAC learning and other areas.
Inverse Results for Isoperimetric Inequalities - Part I
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.
Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 4 Part 4
Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture in this advanced mathematics lecture.
Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 4, Part 3
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.