Piecewise Expanding Maps of the Circle - Lecture 4
Explore piecewise expanding maps on the circle, delving into advanced mathematical concepts and their applications in dynamical systems theory.
Piecewise Expanding Maps of the Circle - Lecture 3
Explore piecewise expanding maps of the circle, delving into advanced mathematical concepts and their applications in dynamical systems theory.
Introduction to Ergodic Theory - Lecture 3
Explore fundamental concepts and applications of ergodic theory, delving into mathematical principles that govern long-term behavior of dynamical systems.
Rotations of the Circle and Renormalization - Lecture 3
Explore circle rotations and renormalization techniques in dynamical systems, focusing on advanced mathematical concepts and their applications.
Introduction to Ergodic Theory - Lecture 2
Explore fundamental concepts and applications of ergodic theory, building on previous knowledge and delving into advanced topics in dynamical systems.
Piecewise Expanding Maps of the Circle - Lecture 2
Explore advanced concepts of piecewise expanding maps on the circle, building on previous knowledge and delving into more complex mathematical theories and applications.
Rotations of the Circle and Renormalization - Lecture 2
Explore advanced concepts in dynamical systems, focusing on circle rotations and renormalization techniques with expert insights from Corinna Ulcigrai.
Piecewise Expanding Maps of the Circle
Explore piecewise expanding maps of the circle, their properties, and applications in dynamical systems theory with expert Jana Rodriguez-Hertz.
Propagation of Chaos for the 3D Homogenous Landau Equation with Moderately Soft Potential
Explore the propagation of chaos in 3D homogeneous Landau equations with moderately soft potential, delving into advanced mathematical concepts and their applications in physics and probability theory.
Mathematical Modeling of Epidemics - Are We Confronting or Amplifying Health Inequities?
Explores how mathematical models of epidemics impact public health decisions and their potential to address or exacerbate health inequities, using examples from HIV, COVID-19, and mpox.
Efficient Approximation of Infinite-Dimensional Dynamical Systems in Finance
Explore advanced techniques for approximating complex dynamical systems in finance, focusing on efficient methods for infinite-dimensional problems and their applications.
Panel Discussion - 2022 Fields Medal Symposium
Experts discuss mathematical advancements and their implications in this engaging panel, exploring cutting-edge research and its impact on various fields of study.
Opening Remarks - 2022 Fields Medal Symposium
Renowned mathematicians discuss the significance of the Fields Medal and its impact on mathematical research, highlighting recent advancements and future directions in the field.
Machine Learning and Dynamical Systems Meet in Reproducing Kernel Hilbert Spaces
Explore the intersection of machine learning and dynamical systems in Reproducing Kernel Hilbert Spaces, offering insights into advanced mathematical concepts and their applications.
Learning Dynamical Systems
Explore cutting-edge research on integrating machine learning with dynamical systems, presented by expert Sayan Mukherjee from University of Leipzig and MPI MiS.
Approximation Theory of Deep Learning from the Dynamical Viewpoint
Explore deep learning approximation theory from a dynamical perspective, covering supervised learning, universal approximation, sequence modeling, and insights on various neural network architectures.
Deep Learning for Nonlinear Stability Analysis in Dynamical Systems
Explore deep learning techniques for analyzing nonlinear stability in dynamical systems, presented by Bogdan Epureanu from the University of Michigan.
Koopman Operator Theory Based Machine Learning of Dynamical Systems
Explore advanced machine learning techniques for dynamical systems using Koopman operator theory, presented by Igor Mezic from UC Santa Barbara.
Mathematical Models of Infectious Diseases - Consequences of Underlying Assumption
Explore the impact of underlying assumptions in mathematical models of infectious diseases, examining their consequences for disease dynamics and control strategies.
Learning Dynamical Systems via Koopman Operator Regression in Reproducing Kernel Hilbert Spaces
Explore Koopman operator regression in reproducing kernel Hilbert spaces for dynamical systems, enhancing understanding of machine learning applications in complex systems analysis.
Some Mathematical Insights About Traveling Waves
Explore mathematical insights on traveling waves, focusing on their applications in range expansion and evolutionary processes.