Quantitative Homogenization of Interacting Particle Systems
Explore quantitative homogenization of interacting particle systems with Jean-Christophe Mourrat. Gain insights into functional inequalities, optimal transport, and particle systems in this advanced mathematics lecture.
Geometrical Web Models
Explore geometrical web models with Jesper Jacobsen in this insightful conference talk from CIRM's Audiovisual Mathematics Library.
Large Random Matrices and PDEs
Explore connections between large random matrices and partial differential equations in this advanced mathematical lecture by Pierre-Louis Lions.
Isabelle Gallagher's Contributions to Mathematical Physics - Fluid Mechanics and Kinetic Theory
Explore Isabelle Gallagher's contributions to Mathematical Physics, focusing on Fluid Mechanics and Kinetic Theory in rotating fluids and Boltzmann equation derivation.
Mestrado: Cadeia de Markov - Aula 03
Aprofunde-se na teoria de Cadeias de Markov, explorando conceitos avançados e aplicações em pesquisas recentes na área de matemática pura e aplicada.
Introdução à Mecânica Estatística - Aula 02
Explore sistemas hamiltonianos, teoremas fundamentais e conceitos avançados em mecânica estatística. Aprofunde-se em modelos como Ising e FK, transições de fase e teoria de Pirogov-Sinai.
Hydrodynamics, Fluctuations, and Universality of Interacting Particle Systems
Explore hydrodynamics, fluctuations, and universality in interacting particle systems with Patrícia Gonçalves at IMPA's 70th anniversary conference, featuring insights from leading mathematicians worldwide.
Epidemics on Large Networks - Phase Transitions and Survival Time
Explore epidemic models on large networks, focusing on phase transitions in survival time for deterministic and random graphs. Recent progress and open questions discussed.
The Complex Science of Cities and How They Grow
Explore how complexity science reveals fascinating connections between cities and nature, from fractal patterns to collective urban memory, and their impact on socio-economic trends and urban growth.
Uniform Propagation of Chaos for a Dollar Exchange Model
Explore a mathematical model for money exchange, focusing on agent-based dynamics and the convergence to a Poisson distribution as time and agent numbers increase.
Enumeration of Walks by Winding Angle
Explore techniques for enumerating walks based on winding angle, delving into mathematical concepts and applications in statistical physics.
How Occam's Razor Changed the World of Science - With Johnjoe McFadden
Explore how William of Occam's principle of simplicity revolutionized scientific thinking, from medieval metaphysics to modern physics, and its enduring impact on problem-solving across disciplines.
Geometry and Complex Networks - A Powerful Partnership
Explore the intersection of geometry and complex networks, uncovering powerful applications in network science, data analysis, and modeling real-world systems.
Naturalism, Functionalism and the Metaphysics of Science
Explore naturalism's impact on metaphysics of science, examining explanatory demands, temporal asymmetry, and modal relations through a functionalist lens.
Log-Sobolev Inequalities for Matrix-Valued Functions
Explore advanced mathematical concepts of Log-Sobolev inequalities for matrix-valued functions, focusing on L1 variants and their applications in quantum systems and random matrices.
Introduction to Smooth Ergodic Theory - Lecture 3
Delve into smooth ergodic theory, exploring stable/unstable foliations in hyperbolic systems and their role in understanding statistical behaviors, SRB measures, and Hopf's argument for ergodicity.
Introduction to Smooth Ergodic Theory - Lecture 1
Delve into smooth ergodic theory, exploring statistical behavior of orbits, hyperbolic systems, and stable/unstable foliations. Learn about SRB measures and their role in understanding dynamical systems.
Introduction to Smooth Ergodic Theory - Lecture 2
Delve into smooth ergodic theory, exploring stable/unstable foliations in hyperbolic systems and their role in understanding statistical behaviors, SRB measures, and Hopf's argument for ergodicity.
One-Parameter Families of Hyperbolic Iterated Function Systems on the Line - Lecture 3
Delve into hyperbolic iterated function systems and their dimensional properties, exploring transversality methods for analyzing one-parameter families and their applications in measure theory and dynamics.
Random Matrix Theory and its Applications - Lecture 4
Explore advanced concepts in Random Matrix Theory, including rotational invariance, correlation functions, spacing distributions, and applications to complex systems stability.
Multiscale Inverse Problem, from Schroedinger to Newton to Boltzmann - IPAM at UCLA
Explore multiscale inverse problems across quantum, classical, and statistical physics, connecting Schroedinger, Newton, and Boltzmann equations to reveal universal mathematical principles in diverse scientific domains.