Remarks on the Discrete Cube
Explore probability theory on the discrete cube, covering Fourier analysis, Poisson inequality, and random walks, with applications in high-dimensional geometry and computation.
The One Dimensional Random Walk Hypergroup - Diffusion Symmetry
Explore affine transformations, representation theory, and random walks on a 1D lattice. Learn about hypergroups and calculate probabilities in this advanced mathematics lecture.
Walking Randomly, Massively, and Efficiently
Explore efficient random walk algorithms for massive graphs, focusing on PageRank implementation and optimization techniques for undirected edges and degree-based calculations.
Mirror Symmetry for Character Varieties and Field Theory by Sergey Galkin
Explore mirror symmetry for character varieties, using threespace mirrors to construct SU(2) character variety mirrors on Riemann surfaces, with applications in topological field theory and random walks.
Branching Random Walks - Two Conjectures and a Theorem by Parthanil Roy
Explore branching random walks, their applications, and long-term behavior. Delve into conjectures and theorems with mathematician Parthanil Roy in this engaging lecture on probability theory.
George Willis, Pierre-Emmanuel Caprace - A Totally Disconnected Invitation to Locally Compact Groups
Explore topological groups, focusing on locally compact and totally disconnected types. Discover recent advances in theory, simple groups, local structure, and comparisons with linear groups.
Tianyi Zheng- Asymptotic Behaviors of Random Walks on Countable Groups
Explore asymptotic behaviors of random walks on countable groups, covering Kesten's theorems, entropy, and applications to group theory and graph analysis.
Ricci Curvature and Functional Inequalities for Interacting Particle Systems
Explore entropic Ricci curvature bounds and their applications to interacting particle systems, focusing on functional inequalities and convergence rates to equilibrium in nonnegative curvature scenarios.
Order and Patterns in Randomness by Abhishek Dhar
Explore hidden patterns in seemingly random events through examples of Random Walk, Brownian Motion, Statistical Physics, and a card trick. Gain insights into physicists' and mathematicians' approaches.
Random Walk at Weak and Strong Disorder
Exploración de caminatas aleatorias en condiciones de desorden débil y fuerte, analizando sus comportamientos y propiedades matemáticas.
High-Dimensional Expanders - Lecture 1
Explore high-dimensional expanders with Irit Dinur, delving into advanced concepts in analysis and theoretical computer science.
High-Dimensional Expanders - Lecture 4
Explore advanced concepts in high-dimensional expanders, focusing on analysis techniques and applications in theoretical computer science.
High-Dimensional Expanders - Lecture 3
Explore advanced concepts in high-dimensional expanders, focusing on analysis techniques and applications in theoretical computer science.
Large Deviations Principle for Sub-Riemannian Random Walks
Explore large deviations in sub-Riemannian random walks on Carnot groups, focusing on rate functions, hypoelliptic Brownian motions, and comparisons between standard and Heisenberg group Brownian motions.
Random Walks on Group Extensions
Explore random walks on group extensions in this advanced mathematics lecture, covering Zariski dense subgroups and their applications in algebraic geometry and number theory.
Introduction to Random Walks on Groups - Lecture 11
Explore the mathematical concept of random walks on groups, delving into their properties, applications, and theoretical foundations in this comprehensive lecture by Giulio Tiozzo.
Introduction to Random Walks on Groups - Lecture 8
Explore the mathematical concept of random walks on groups, examining their properties, applications, and fundamental principles in this advanced mathematics lecture.
Introduction to Random Walks on Groups - Lecture 18
Explore the mathematical concept of random walks on groups, delving into their properties, applications, and theoretical foundations in this comprehensive lecture by Giulio Tiozzo.
Introduction to Random Walks on Groups - Lecture 16
Explore the fascinating world of random walks on groups with Prof. Giulio Tiozzo. Discover key concepts, applications, and mathematical insights in this engaging lecture from the Fields Institute.
Introduction to Random Walks on Groups - Lecture 15
Explore random walks on groups, a fundamental concept in probability theory and group theory, with applications in various mathematical fields and real-world scenarios.
Introduction to Random Walks on Groups - Lecture 3
Explore random walks on groups, their properties, and applications in mathematics and probability theory. Learn key concepts and techniques for analyzing group-based stochastic processes.