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.
The Landscape Law and Wave Localization
Explore the landscape function's role in predicting wave localization patterns and eigenfunction behavior in complex systems with Svitlana Mayboroda's mathematical insights.
Semiclassical Measures for Laplacian Eigenfunctions and Quantum Cat Maps
Dive into semiclassical measures for Laplacian eigenfunctions and quantum cat maps, exploring quantum chaos and high-energy limit behavior in mathematics.
Zigzag Strategy for Random Matrices
Dive into the zigzag strategy for random matrices, exploring advanced probability concepts and their applications in matrix theory.
Functional Analysis
Comprehensive exploration of functional analysis, covering metric spaces, Banach spaces, Hilbert spaces, operators, and spectral theory, with detailed examples and key theorems.
Ellipses of Small Eccentricity Are Determined by Their Dirichlet - Steven Morris Zelditch
Explore the spectral analysis of ellipses with small eccentricity, focusing on Dirichlet and Neumann spectra, caustic billiard tables, and periodic orbits in nearly circular domains.
Mathematics Around Integrable Hierarchies
Explore integrable hierarchies in mathematical physics with Professor Takashi Takebe, delving into advanced concepts and their applications.
Spectral Properties of Levy Fokker-Planck Equations
Explore spectral properties of Levy Fokker-Planck equations in this mathematical conference talk by Maria del Mar González at CIRM.
Subconvexity of L-functions - Part 2
Explore advanced concepts in subconvexity of L-functions through an in-depth mathematical lecture by Philippe Michel, expanding on previous discussions.
What Returns, What Remains - Hawaiian Landscape and Dis/Possession
Exploring Hawaiian ancestral remains repatriation, challenging settler colonial structures, and examining connections between land, spirit, and haunting through Indigenous perspectives and the concept of hoʻopahulu.
Spectrum of Random Graphs - Lecture 1
Delve into spectral analysis of random graphs, exploring adjacency operators, Laplacian matrices, and Benjamini-Schramm topology. Examine convergence properties and quantum percolation in graph theory.
Spectrum of Random Graphs - Lecture 4
Delve into advanced spectral analysis of random graphs, exploring adjacency operators, Laplacian operators, and Benjamini-Schramm topology through rigorous mathematical frameworks and quantum percolation theory.
Spectrum of Random Graphs - Lecture 2
Delve into advanced spectral analysis of random graphs, exploring adjacency operators, Laplacian operators, and Benjamini-Schramm topology with focus on spectral measures and quantum percolation theory.
Spectrum of Random Graphs - Lecture 5
Delve into advanced spectral analysis of random graphs, exploring adjacency operators, Laplacian operators, and Benjamini-Schramm topology through rigorous mathematical frameworks and quantum percolation theory.
Spectrum of Random Graphs - Lecture 3
Delve into advanced spectral analysis of random graphs, exploring adjacency operators, Laplacian operators, and Benjamini-Schramm topology with focus on convergence properties and quantum percolation.
Maria Esteban - Spectral Results and Open Problems for Dirac-Coulomb Operators With Charge Distributions
Explore spectral results and open problems for Dirac-Coulomb operators with general charge distributions, focusing on self-adjoint extensions, eigenvalue characterizations, and electron stability conditions.
Outliers in Sparse Wigner Matrices
Explore the impact of sparsity on extreme eigenvalues in Wigner matrices, including phase transitions and outlier emergence in the semi-circular law. Joint work with Konstantin Tikhomirov.
Dynamics of Smooth Surface Diffeomorphisms - Spectral Gap and Stochastic Properties
Explore surface diffeomorphisms, spectral gaps, and stochastic properties in smooth dynamics. Gain insights into symbolic models, entropy continuity, and hyperbolic systems.
Spectral Theory of Regular Sequences
Explore spectral theory of regular sequences, focusing on integer sequences, ghost measures, and dilation equations. Gain insights into Stern's and Zaremba's sequences and their applications.
Convergence of Scattering Data and Non-Linear Fourier Transform - Part 1
Explore canonical systems, spectral problems, and Hilbert spaces of entire functions in this advanced mathematical analysis lecture on scattering data and non-linear Fourier transform.
Mini-course on Operators on Function Spaces - Part 2
Explore advanced concepts in function spaces, including multiplication operators, Toeplitz operators, and the unilateral shift, with applications in complex analysis and operator theory.