Determinantal Point Processes - II
Exploration of determinantal point processes, covering theorems, Young graphs, Markov chains, and related mathematical concepts with applications in random matrix theory.
Variational Problems and Spectral Curves for the Hermitian Matrix Model with External Source
Explore variational problems and spectral curves in hermitian matrix models with external sources, focusing on finite N spectral curves and their applications in random matrix theory.
Color-Position Symmetry in Interacting Particle Systems
Explore color-position symmetry in particle systems, covering probability, partition functions, and stochastic processes. Gain insights into ASEP and simulation techniques.
Random Matrices and the Uses of Dyson-Schwinger Equations - I
Explore random matrices, matrix models, and Dyson-Schwinger equations in this advanced mathematics lecture, focusing on integration techniques and unique solutions.
Random Matrix Theory and Its Applications - Lecture 3
Explore advanced random matrix theory concepts, including complex quaternionic matrices, rotationally invariant ensembles, and applications to disordered systems in this in-depth lecture.
Random Matrix Theory and Its Applications - Lecture 5
Explore advanced random matrix theory concepts, including Gaussian ensembles, coarse-graining techniques, and the Wigner semi-circular law in this comprehensive lecture.
Random Matrix Theory and its Applications - Lecture 2
Explore advanced concepts in random matrix theory, including linear algebra basics, operators, transformations, eigenvectors, and various matrix ensembles, with applications in statistical physics.
Quantitative Invertibility of Non-Hermitian Random Matrices
Explore quantitative invertibility of non-Hermitian random matrices with Konstantin Tikhomirov in this mathematical lecture on advanced linear algebra concepts.
Noise Sensitivity of the Top Eigenvector of a Wigner Matrix
Explore the noise sensitivity of Wigner matrices' top eigenvectors, delving into random matrix theory and its applications in mathematical physics and data analysis.
Determinantal Point Processes - Lecture 3
Explore advanced concepts in determinantal point processes, focusing on mathematical theory and applications in random matrix theory and point processes.
Christoffel Deformations of Discrete Ensembles
Explore Christoffel deformations in discrete ensembles, examining their mathematical properties and applications in random matrix theory and point processes.
Local Eigenvalue Statistics for Band Matrices With a Transfer Operator Approach
Explore local eigenvalue statistics for band matrices using transfer operator methods, presented by Maria Shcherbina from ILTP, Kharkov, Ukraine.
Random Matrices and the Uses of Dyson-Schwinger Equations - Lecture 2
Explore advanced concepts in random matrix theory, focusing on Dyson-Schwinger equations and their applications in mathematical physics and statistical mechanics.
Determinantal Point Processes - Lecture 1
Explore determinantal point processes with Alexander Bufetov, delving into mathematical concepts and applications in random matrix theory.
Random Matrices and the Uses of Dyson-Schwinger Equations - Lecture 5
Explore advanced concepts in random matrix theory, focusing on Dyson-Schwinger equations and their applications in mathematical physics and probability theory.
The Point Processes at Turning Points of Large Lozenge Tilings
Explore the fascinating world of point processes in large lozenge tilings, focusing on turning points and their mathematical implications.
Random Matrices and the Uses of Dyson-Schwinger Equations - Lecture 4
Explore advanced concepts in random matrix theory, focusing on Dyson-Schwinger equations and their applications in mathematical physics and probability theory.
On the X Y Symmetry in Topological Recursion via Loop Insertion Operator
Explore the x-y symmetry in Topological Recursion through the lens of loop insertion operators, delving into advanced mathematical concepts and their applications.
Third Order Cumulants of Complex Wigner Matrices
Explore third order cumulants of complex Wigner matrices in noncommutative geometry and free probability theory, advancing understanding of random matrix theory.
Homological Methods in Random Noncommutative Geometry
Explore homological methods in random noncommutative geometry, covering fuzzy spectral triples, Dirac operators, and connections to random matrix theory and BV formalism.
How Topological Recursion Organizes Quantum Fields on Noncommutative Geometries - Part 2
Explore advanced concepts in quantum field theory, focusing on topological recursion and its application to noncommutative geometries in this advanced mathematics lecture.