Growth of Laplacian Eigenfunctions
Delve into the growth patterns of Laplacian eigenfunctions on compact manifolds, exploring concentration phenomena and the intriguing 'spooky action at a distance' in mathematical contexts.
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.
The P-Spin Glass Model - A Holographer's Perspective
Explore the p-spin glass model's quantum mechanics, chaos, and holographic implications through analytical solutions and real-time dynamics in this advanced physics seminar.
How Lagrangian States Evolve into Random Waves
Explorez l'évolution des états lagrangiens en ondes aléatoires dans le contexte du chaos quantique. Découvrez les progrès récents dans la compréhension de la conjecture de Berry sur les fonctions propres du laplacien.
Spectral Approximation of Transfer Operators
Explore spectral approximation of transfer operators using Galerkin methods and Lagrange-Chebyshev interpolation, with applications in number theory and quantum chaos.
Manfred Denker: Toral Automorphisms Driven by Continued Fractions
Explore toral automorphisms driven by continued fractions, discussing Poisson limits, homoclinic groups, and Steiner's theorem in dynamical systems and number theory.
Don Zagier: Holomorphic Quantum Modular Forms
Explore holomorphic quantum modular forms, their connections to number theory and quantum knot invariants, and applications in odd weight Eisenstein series and Maass cusp forms.
Thermodynamical Formalism and Markoff-Hurwitz Equations
Explore connections between Diophantine geometry and fractals through Markoff-Hurwitz equations, transfer operators, and thermodynamical formalism. Discover links to various mathematical areas.
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.
Understanding Integrability, Chaos and Thermalization from Low Frequency Noise
Explore integrability, chaos, and thermalization through low frequency noise analysis, gaining insights into complex physical systems.
The Distribution of Ground States in JT Gravity from Random Matrix Models - Clifford Johnson
Explores distribution of ground states in JT gravity using random matrix models, discussing thermodynamics, string equations, and kernels. Offers insights into holography and quantum gravity foundations.
Topics in Quantum Chaos - An Infosys Prize Lecture by Nalini Anantharaman
Explore quantum chaos, from Einstein's inquiries to recent developments in quantum ergodicity and toy models, examining spectral statistics, billiards, and random graphs to understand chaotic wave behavior in quantum mechanics.
Persi Diaconis: Haar-Distributed Random Matrices - In Memory of Elizabeth Meckes
Explore Haar measure on compact groups, high-dimensional geometry, and quantum chaos through the lens of Elizabeth Meckes' groundbreaking work and recent developments in the field.
Fractal Uncertainty Principle and Quantum Chaos
Explore quantum chaos and fractal uncertainty principle in wave equations, with applications to eigenfunctions, Schrödinger equation, and hyperbolic surfaces. Gain insights beyond classical/quantum correspondence.
Finite-N Holography - Supersymmetry and Modularity in Gravity
Explore finite-N holography, focusing on supersymmetry and modularity in gravity. Gain insights into modern field theory methods and their applications to holography and quantum gravity.
Holographic Tensor Networks in 2d CFT - Thomas Hartman (Cornell)
Explore holographic tensor networks in 2D conformal field theory, examining their role in understanding quantum gravity and holography through modern field theory methods.
Non-Holographic Holography - Shota Komatsu (CERN)
Explore non-holographic holography in conformal field theory and its implications for quantum gravity. Gain insights into modern field theory methods and their applications in theoretical physics.
Fake Geometry from Algebra - Douglas Stanford
Explore the intersection of conformal field theory and holography, focusing on fake geometry derived from algebraic methods in quantum gravity and string theory.
Matrix Models for ETH and Random CFT - Julian Sonner
Explores matrix models in relation to the Eigenstate Thermalization Hypothesis and random Conformal Field Theory, advancing understanding of quantum chaos and holography.
Non-stationary Quantum Many-body Dynamics - Lecture 1
Explore non-stationary quantum many-body dynamics in this lecture, covering advanced concepts in periodically and quasi-periodically driven complex systems.
Non-stationary Quantum Many-body Dynamics - Lecture 2
Explore non-stationary quantum many-body dynamics in this advanced physics lecture, delving into complex systems and their behavior under periodic and quasi-periodic driving forces.