Duality and Intertwining in Markov Chains - Lecture 2
Explore advanced Markov chain analysis through embedded processes, intertwining relations, and various dualities. Gain insights into stationarity and extensions to set and measure-valued duals.
An Introduction to Intertwining via Strong Stationary Duality - First Examples and Basic Setup
Explore Markov chains, mixing times, and card shuffling techniques. Learn about strong stationary times and their properties in this advanced probability theory lecture.
From Mosquitoes to ChatGPT - The Birth and Strange Life of the Random Walk
Explore the fascinating history and diverse applications of random walks, from mosquito control to AI, and their impact on modern technology and scientific understanding.
Optimal Transport and High Dimensional Probability in Wasserstein Spaces
Explore optimal transport theory and high-dimensional probability in Wasserstein spaces, delving into advanced mathematical concepts and their applications.
Optimal Transport and High-Dimensional Probability - Langevin Dynamics via Calculus
Explore optimal transport, high-dimensional probability, and Langevin dynamics through advanced calculus techniques in this mathematical deep dive.
Optimal Transport and High-Dimensional Probability - Otto's Calculus on Wasserstein Space
Explore optimal transport and high-dimensional probability through Otto's Calculus on Wasserstein spaces, delving into advanced mathematical concepts and their applications.
Approximately Hadamard Matrices and Random Frames
Explore approximately Hadamard matrices and random frames with Mark Rudelson, delving into advanced mathematical concepts and their applications in signal processing and data analysis.
The Clever Way to Count Tanks - World War II Statistical Analysis
Discover how mathematics and probability solved the mystery of Nazi Germany's tank production during World War II, featuring insights from Dr James Grime on this fascinating historical application.
College Level Math - Binomial Theorem Expansion
Master the binomial theorem for expanding binomials efficiently. Enhance your college-level math skills and boost your confidence in tackling complex algebraic expressions.
Vector-Valued Concentration on the Symmetric Group
Explore vector-valued concentration inequalities for the symmetric group, examining implications for Banach space geometry and building on recent advancements in discrete hypercube analysis.
Graph Limit for Interacting Particle Systems on Weighted Deterministic and Random Graphs
Explore graph limits for interacting particle systems on weighted deterministic and random structures in this advanced mathematical lecture.
Invariant Integrated Convexity Profiles for Hamilton-Jacobi-Bellman Equations
Explore invariant integrated convexity profiles for Hamilton-Jacobi-Bellman equations in this mathematical conference talk by Giovanni Conforti, delving into PDE and probability interactions.
Numerical Methods for SDEs with Singular Coefficients - Lecture 3
Explore numerical methods for SDEs with singular coefficients in this advanced mathematics lecture by Benjamin Jourdain, focusing on cutting-edge techniques and applications.
Numerical Methods for SDEs with Singular Coefficients - Lecture 1
Explore numerical methods for stochastic differential equations with singular coefficients in this advanced mathematics lecture by Benjamin Jourdain.
Numerical Methods for SDEs with Singular Coefficients - Lecture 2
Explore numerical methods for SDEs with singular coefficients in this advanced mathematics lecture by Benjamin Jourdain, focusing on cutting-edge techniques and applications.
Statistical Contract Theory
Explore statistical contract theory with Michael Jordan, delving into mathematical, economic, and computational aspects of matchings and markets.
Steady States and Dynamics of the Aggregation-Diffusion Equation - Lecture 2
Explore steady states and dynamics of aggregation-diffusion equations in this advanced mathematics lecture by Yao Yao, part of a thematic meeting on interacting particle systems.
Steady States and Dynamics of the Aggregation-Diffusion Equation - Lecture 1
Explore steady states and dynamics of the aggregation-diffusion equation in this advanced mathematics lecture by Yao Yao at CIRM's thematic meeting on interacting particle systems.
Random Processes on Symmetric Spaces and Discrete Subgroups
Explore random processes on symmetric spaces and discrete subgroups with Mikolaj Fraczyk in this advanced mathematical conference talk.
Basics on Measure Rigidity
Explorez les fondements de la rigidité des mesures avec Aaron Brown, abordant les concepts clés et leurs applications en mathématiques avancées.
Gradient Flows for Sampling and Their Deterministic Interacting Particle Systems
Explore gradient flows for sampling and deterministic interacting particle systems in this mathematical conference talk by Dejan Slepčev.