Measure Theory Courses and Certifications

Hausdorff Center for Mathematics

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.

• YouTube
• 40 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Particle Methods for Optimization Over Measures - Lecture 2

Explore particle methods for measure optimization in this advanced lecture, covering theoretical foundations and practical applications in data science and machine learning.

• YouTube
• 53 minutes
• On-Demand
• Free Video

Banach Center

Invariant and Quasi-Invariant Measures for Actions of Oligomorphic Groups - Part II

Explore advanced concepts of invariant and quasi-invariant measures in oligomorphic group actions, building on Part I's foundations.

• YouTube
• 1 hour
• On-Demand
• Free Video

Banach Center

Invariant and Quasi-Invariant Measures for Actions of Oligomorphic Groups - Part 3

Explore advanced concepts in measure theory, focusing on invariant and quasi-invariant measures for oligomorphic group actions in this advanced mathematics lecture.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Banach Center

Invariant and Quasi-Invariant Measures for Actions of Oligomorphic Groups - Part I

Explore invariant and quasi-invariant measures for oligomorphic group actions, delving into advanced mathematical concepts and theories.

• YouTube
• 58 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

Divisibility of Spheres with Measurable Pieces - Oleg Pikhurko

Explore divisibility of spheres with measurable pieces, focusing on Euclidean (d-1)-dimensional sphere S^(d-1) and special orthogonal matrices. Examine impossibility of measurable divisibility for generic rotations.

• YouTube
• 48 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

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.

• YouTube
• 25 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

A Lorentzian Analog for Hausdorff Dimension and Measure

Explore a novel approach to geometric dimension in Lorentzian spaces, comparing it to Hausdorff dimension and examining applications in spacetime analysis and synthetic curvature bounds.

• YouTube
• 36 minutes
• On-Demand
• Free Video

Simons Semester on Dynamics

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.

• YouTube
• 1 hour 31 minutes
• On-Demand
• Free Video

ICTP Mathematics

Absolute Continuity of Stationary Measures

Explore the mathematical concept of absolute continuity as it applies to stationary measures in this advanced probability theory lecture.

• YouTube
• 52 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Transport- and Measure-Theoretic Approaches for Modeling, Identifying, and Forecasting Dynamical Systems

Discover the Distributional Koopman Operator for analyzing random dynamical systems using probability distributions instead of particle tracking in electrochemical modeling.

• YouTube
• 46 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Subgroup Mixing in Baumslag-Solitar Groups

Explore subgroup dynamics in Baumslag-Solitar groups through Chabauty topology and conjugation actions, revealing mixing properties in perfect kernels.

• YouTube
• 49 minutes
• On-Demand
• Free Video

The Bright Side of Mathematics

Measure Theory

Comprehensive exploration of measure theory, covering sigma algebras, Lebesgue measures, integrals, convergence theorems, and advanced concepts like product measures and Fubini's theorem.

• YouTube
• 5 hours
• On-Demand
• Free Video

Stochastic Calculus

243 ratings at Udemy

Learn or refresh your stochastic calculus with a full lecture, practical examples and 20+ exercises and solutions.

• Udemy
• 2 hours 33 minutes
• On-Demand
• Paid Course

ICTP Mathematics

Geometric Measure Theory and Optimal Transport

Explore advanced mathematical concepts connecting geometric measure theory with optimal transport through expert lectures on regularity theory, Monge-Ampère equations, and stability results.

• YouTube
• 1 day 7 hours 45 minutes
• On-Demand
• Free Video