Signal Recovery, Restriction Theory, and Applications - Lecture 2
Explore signal recovery techniques using Fourier transforms and restriction theory, with applications to multiple transmissions and continuous problems in mathematics.
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.
Dynamic Brittle Fracture as a Well-Posed Nonlocal Initial Value Problem
Explore a nonlocal model for dynamic brittle damage, examining its phases, evolution, and energy balance. Learn how this approach relates to Griffith fracture energy and Navier's equation for crack propagation.
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.
LU-Decomposition of a Matrix - Linear Algebra Explained
Explore LU-Decomposition in linear algebra: definition, applications for solving systems, step-by-step process, and examples. Master this powerful technique for efficient matrix analysis.
Inspection Paradox Approach to Stochastic Resetting
Explore the inspection paradox and its application to stochastic resetting in random processes, from diffusion to animal foraging, using elementary mathematical tools.
Existence of Solutions for the 2D Signorini-Coulomb Problem
Explore solutions for 2D Signorini-Coulomb problem in static contact with Coulomb friction, comparing isotropic and anisotropic elasticity using Leray-Lions operator approach.
Sobolev Homeomorphic Extensions in Geometric Analysis and Nonlinear Elasticity
Explore Sobolev homeomorphic extensions in geometric analysis, focusing on boundary map properties and their implications for nonlinear elasticity and higher-dimensional problems.
Fully Discrete Approximation Schemes for Rate-Independent Crack Propagation
Explore convergence analysis of space-time discrete approximation schemes for rate-independent crack propagation in brittle elastic bodies, focusing on Griffith fracture criterion and local energy minimizers.
Weak Limit of Homeomorphisms in W1,n-1: Invertibility and Lower Semicontinuity
Explore weak limits of homeomorphisms, examining invertibility and lower semicontinuity in W1,n-1 spaces through variational and geometrical methods.
Modern Trends in Gagliardo-Nirenberg Inequality
Explore modern trends in Gagliardo-Nirenberg inequality, including generalizations, refinements, and applications in functional analysis and partial differential equations.
Homeomorphic Sobolev Extensions of Parametrizations of Jordan Curves
Explore homeomorphic Sobolev extensions of Jordan curve parametrizations, examining conditions for finite energy deformations and recent findings in this mathematical field.
Constructing Nonhyperbolic Ergodic Measures with Positive Entropy
Explore nonhyperbolic ergodic measures with positive entropy in dynamical systems. Gain insights from Lorenzo Díaz's research presented at IMPA's international conference celebrating Marcelo Viana's 60th birthday.
Interacting Particle Systems on Sparse W-Random Graphs
Explore interacting particle systems on sparse W-random graphs in this workshop. Gain insights from leading experts through plenary talks, contributed presentations, and collaborative sessions on randomness and network learning.
Workshop on Randomness and Learning on Networks
Explore cutting-edge research in randomness and network learning. Engage with experts, attend minicourses, and collaborate on open problems in discrete probability and network statistics.
Split Conformal Prediction and Its Extensions to Non-Exchangeable Data
Explore split conformal prediction and its extensions to non-exchangeable data in this advanced mathematical lecture by Paulo Orenstein at IMPA's 70th anniversary conference.
Understanding Zero Knowledge Proofs with High School Math - Lecture
Explore zero knowledge proofs using high school math concepts. Gain insights from Hyperledger expert Stephen Curran on this advanced cryptographic technique and its applications in decentralized identity.
PLU-Decomposition of a Matrix Explained - Linear Algebra
Explore PLU-decomposition of matrices, its applications in solving linear systems, and step-by-step process for finding LU decomposition and PLU factorization in linear algebra.
Elliptic Regularity and Singularity
Explore elliptic regularity and singularity in mathematics with Federico Franceschini's concise talk, gaining insights into advanced mathematical concepts and their applications.