Ergodicity in Smooth Dynamics - Lecture 2
Explore advanced concepts in ergodic theory and smooth dynamical systems, focusing on measure-preserving transformations and their properties in continuous-time systems.
Piecewise Expanding Maps of the Circle - Lecture 5
Explore piecewise expanding maps on the circle, delving into advanced mathematical concepts and their applications in dynamical systems theory.
Introduction to Ergodic Theory - Lecture 5
Explore fundamental concepts and applications of ergodic theory, delving into mathematical principles that govern long-term behavior of dynamical systems.
Introduction to Ergodic Theory - Lecture 4
Explore fundamental concepts and applications of ergodic theory, delving into mathematical principles that govern long-term behavior of dynamical systems.
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.
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.
Introduction to the Riemannian Curvature Dimension Condition - Lecture 2
Explore advanced concepts in Riemannian geometry with Prof. Gigli, focusing on the Curvature Dimension condition and its applications in non-smooth settings.
Introduction to the Riemannian Curvature Dimension Condition - Lecture 1
Explore the Riemannian Curvature Dimension condition with Professor Nicola Gigli, delving into advanced mathematical concepts for graduate-level understanding of non-smooth geometry.
On Density of Sobolev Functions on Euclidean Domains
Explore recent findings on Sobolev space density, removability of measure zero sets, and extension operators in Euclidean domains. Gain insights into advanced mathematical concepts and their applications.
Nikodym Sets and Maximal Functions Associated with Spheres - Lecture 1
Explore advanced harmonic analysis concepts: Nikodym sets and maximal functions associated with spheres. Gain insights from expert Jongchon Kim in this comprehensive lecture.
Optimal Shape of Tree Roots and Branches - Seminar in Analysis and Methods of PDE
Explore mathematical models for optimal shapes in nature, focusing on tree roots and branches. Examine functionals for sunlight capture and nutrient collection, combined with transportation costs.
Measuring Singularities - Colloquium 2
Explore advanced mathematical concepts in singularity theory with Karen E. Smith, delving into measurement techniques and their applications in algebraic geometry.
Computability and Problems with Set Theory - Math History
Explores historical controversies in set theory, Gödel's incompleteness theorems, Zermelo-Fraenkel axioms, and Turing's computability concepts, challenging traditional views on infinite sets in mathematics.
The Curious World of Integral Polynumbers - Math Foundations 233
Explore integral polynumbers through particle physics concepts, expanding arithmetic to include integers as coefficients and exponents, and viewing polynomials as algebraic objects rather than functions.
Is There a Triangle Inequality for Measures of Compact, Convex Sets?
Explore geometric inequalities for convex bodies, focusing on surface area, Minkowski sums, and measure properties. Examine recent findings on monotonicity and supermodularity for Borel and Radon measures.
Building Measure Theory Using Hierarchy Builder
Explore the Hierarchy Builder DSL for Coq and its application in constructing measure theory and Lebesgue measure, with insights for potential adaptations to other proof assistants.
Radon-Nikodym Topography of Amenable Equivalence Relations in Acyclic Graphs
Explore the extension of Adams's dichotomy to measure-class-preserving settings, examining Radon-Nikodym cocycle behavior in acyclic graphs and its connection to global properties like amenability.
Measure Theoretic Reeb Graphs
Explore measure-theoretic Reeb graphs, enhancing scalar function representation on topological spaces. Learn about stability, local smoothing, and applications in metric measure spaces.