Delocalization of Eigenvectors of Large Random Matrices
Explore eigenvector delocalization in large random matrices, examining mathematical concepts and implications for probability theory and matrix analysis.
Consequences of the Random Matrix Solution to the Peterson-Thom Conjecture
Explore the implications of random matrix theory in solving the Peterson-Thom conjecture, presented by Benjamin Hayes from the University of Virginia.
Random Matrix Statistics in the Uniform Spanning Tree
Explore random matrix statistics in uniform spanning trees, focusing on branch behavior, scaling limits, and connections to Dyson Brownian motion and Loewner evolution.
Spectral Stability Under Real Random Absolutely Continuous Perturbations
Explore spectral stability in random matrix perturbations, focusing on eigenvector condition numbers and minimum eigenvalue gaps. Gain insights into numerical linear algebra algorithms.
Graphs of Random Matrices in Deep Learning
Explore the intersection of random matrix theory and deep learning, focusing on graph structures and their implications for neural network performance and analysis.
Disordered Systems and Related Spectra - Rothschild Lecture
Explore disordered systems and spectral theory, focusing on Schrodinger operators with random potential and large random matrices.
Shuffling Cards and Random Matrix Theory
Explore card shuffling and random matrix theory with Stanford's Persi Diaconis in this IMPA 70th anniversary conference talk on mathematical applications in everyday phenomena.
Random Matrix Theory Applications from Single to Many-Body Quantum Chaos - Class 2
Explore random matrix theory applications in quantum chaos, from single-particle to many-body systems, with insights from Thomas Guhr's advanced lecture series.
On the Integrability of the Airy Kernel and Beyond
Explore integrability of the Airy kernel and related mathematical concepts in this advanced mathematical analysis presentation by Sofia Tarricone.
Linear Systems and Differential Equations in Random Matrix Theory
Explore linear systems and differential equations in random matrix theory, focusing on solving nonlinear equations using Hankel operators, Fredholm determinants, and tau functions.
Outliers of Perturbations of Banded Toeplitz Matrices
Explore outlier eigenvalues of perturbed banded Toeplitz matrices, focusing on their behavior in regions outside the limiting spectral distribution's support as matrix size increases.
Sums of the Divisor Function and Random Matrix Distributions - Lecture
Explore divisor function behavior, distribution strategies, and connections to Riemann zeta function and random matrix groups in number theory.
Ensembles of Random Matrices with Complex Potentials - Workshop on Integrable Systems
Explorez les résultats rigoureux récents sur l'expansion topologique et le diagramme de phase dans les ensembles de matrices aléatoires avec potentiels complexes cubiques et quartiques.
Recent Progress in Random Matrix Theory
Explore recent advancements in random matrix theory, focusing on spectral statistics of normalized adjacency matrices in random d-regular graphs and their eigenvalue rigidity.
The KPZ Fixed Point - Understanding Random Growing Interfaces
Explore the KPZ universality class, its fixed point, and connections to random matrix theory and integrable systems in growing interfaces and exclusion processes.
Branching Processes in Random Matrix Theory and Analytic Number Theory
Explore branching processes in random matrix theory and analytic number theory, focusing on limiting distributions, log-correlated phenomena, and recent conjectures about maxima of characteristic polynomials and L-functions.
Random Matrix Theory and Its Applications by Satya Majumdar
Explore Random Matrix Theory's foundations and applications in physics, mathematics, and data science. Learn key concepts and techniques from expert Satya Majumdar.
Convergence of the Two-Point Form Factor Series in the 1+1 Dimensional Sinh-Gordon Model
Explores convergence of form factor series in 1+1D Sinh-Gordon model, developing techniques to prove convergence and estimate large-n behavior of n-fold integrals, advancing mathematical foundations of integrable quantum field theories.
Quantum Phases of Matter - The SYK Model
Explore quantum phases of matter through the SYK model with Prof. Sachdev. Delve into free fermion systems, entropy, random matrices, and complex quantum phenomena in this advanced theoretical physics lecture.
Fractionalized Metallic Phases in the Single Band Hubbard Model - Quantum Phases of Matter XXII
Explore fractionalized metallic phases in the single band Hubbard model, covering pseudogap regimes, photoemission experiments, and strange metal behavior. Gain insights into quantum phases of matter from expert Subir Sachdev.
Quantum Aspects of Black Holes - Lecture 3
Explore quantum aspects of black holes, including traversable wormholes, quantum teleportation, and the Hayden-Preskill problem. Delve into chaotic systems, random matrices, and gravity solutions for the ramp.