Tutorial on Neurobiology - Chris Lynn
Explore neurobiology through brain networks, structures, and measurements, delving into energy, irreversibility, and cognitive functions in this comprehensive tutorial.
On Difference Games in Infinite-Horizon
Explore infinite-horizon difference games governed by difference equations or inequalities in this 55-minute webinar presented by Naila Hayek from Université Panthéon-Assas, Paris II, France. Delve into various Nash-equilibrium concepts and examine Pontr…
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 Estimates for Low Degree Functions on the Hamming Cube
Explore dimension-free L^p inequalities for low degree scalar-valued functions on the Hamming cube in this 1-hour 5-minute lecture. Delve into Bernstein-Markov type inequalities for functions with spectrum bounded from above, examining cases for p>2 and…
Vector-Valued Littlewood-Paley-Stein Theory for Semigroups
Explore the vector-valued Littlewood-Paley-Stein theory for semigroups in this comprehensive 59-minute survey talk. Begin with the classical Littlewood-Paley-Stein inequality for symmetric diffusion semigroups before delving into the vector-valued settin…
A Panorama of Singular Sub-Laplacians and Their Spectra
Explore exotic properties of Laplace-Beltrami operators on rank-varying sub-Riemannian structures. Delve into self-adjointness, spectral properties, and sub-Riemannian Weyl laws. Discover open questions in this fascinating field.
Random Graphs and Nonlinear Spectral Gaps
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.
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.
Dual Spaces
Explore dual spaces, bases, and transformations in linear algebra, covering key concepts like annihilators, rank equality, and Dirac delta functions.
Functional Analysis
Comprehensive exploration of functional analysis, covering metric spaces, Banach spaces, Hilbert spaces, operators, and spectral theory, with detailed examples and key theorems.
Advanced Linear Algebra
Comprehensive exploration of advanced linear algebra concepts, including least squares approximation, error-correcting codes, functional calculus, affine transformations, and stochastic maps, with practical applications.
Quantum Theory
Comprehensive exploration of quantum mechanics, covering axioms, mathematical foundations, operators, spectra, and applications like spin and harmonic oscillators. Ideal for advanced physics students.
Many Body Scars as a Group Invariant Sector of Hilbert Space - Kiryl Pakrouski
Explore quantum many-body scars as group-invariant Hilbert space sectors, examining their properties, energy gaps, and implications for high-temperature quantum systems and long-range correlations.
Quantum Information and the Black Hole Interior II - Ahmed Almeiri
Explore quantum information's role in black hole interiors, covering key concepts like typicality, central charge, and complementarity in theoretical physics.
The Principal Eigenvalue of Time-Periodic Nonlocal Equations with Drift
Explore time-periodic nonlocal equations with drift, focusing on principal eigenvalue analysis in this advanced mathematical lecture by Pierre Gabriel.
Fonctions sphéroïdales et triplets spectraux
Explorez la construction de triplets spectraux à partir de l'opérateur différentiel W, reproduisant les comportements des zéros de zeta dans l'infrarouge et l'ultraviolet.
Le problème du bicentralisateur de Connes - Histoire, motivations et résultats récents
Explorez le problème du bicentralisateur de Connes, son histoire et ses implications dans la théorie des facteurs de type III1. Découvrez les avancées récentes dans ce domaine mathématique complexe.
Análise Funcional - Aula 17
Aprofunde-se em espaços vetoriais normados, Banach e Hilbert. Explore teoremas fundamentais e operadores lineares na análise funcional avançada.
Análise Funcional - Aula 16
Aprofunde-se em espaços vetoriais normados, Banach e Hilbert. Explore teoremas fundamentais e topologias fracas na análise funcional avançada.
Análise Funcional - Aula 15
Explore advanced functional analysis concepts, including normed vector spaces, Banach spaces, linear operators, and key theorems in this doctoral-level mathematics lecture.
Análise Funcional - Aula 14
Explore advanced functional analysis concepts, including normed vector spaces, Banach spaces, linear operators, and key theorems in this doctoral-level mathematics lecture.