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Lecture
Positive Definite Coxeter Graphs
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Related lectures (53)
Crystallographic Coxeter Groups
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Explores crystallographic Coxeter groups, lattice preservation, and the classification of irreducible Weyl groups.
Convergence of Random Walks
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Explores the convergence of random walks on graphs and the properties of weighted adjacency matrices.
Implicit Functions: Unique Solutions and Class C Functions
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Covers the proof of the theorem of implicit functions and the concept of class C functions.
Cheeger's Inequality
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Explores Cheeger's inequality and its implications in graph theory.
Convex Functions
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Covers the properties and operations of convex functions.
Coxeter Groups: Spectral Theorem and Sylvester's Criterion
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Explores the spectral theorem, Coxeter graphs, eigenvalues, and determinants of positive definite matrices.
General Mathematics I: Derivatives and Tangents
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Explores derivatives, tangents, and elementary function rules in general mathematics.
McKay Correspondence and Coxeter Groups
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Explores the McKay correspondence, Coxeter groups, and finite subgroups of SU(2) and SO(3, emphasizing odd order properties and root system constructions.
Sparsest Cut: Bourgain's Theorem
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Explores Bourgain's theorem on sparsest cut in graphs, emphasizing semimetrics and cut optimization.
Cheeger's Inequalities
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Explores Cheeger's inequalities for random walks on graphs and their implications.
Graph Sketching: Connected Components
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Covers the concept of graph sketching with a focus on connected components.
Markov Chains Decomposition
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Covers Markov chains decomposition, LLN proof, Inventory Model application, and average costs.
Fundamental Solutions
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Explores fundamental solutions in partial differential equations, highlighting their significance in mathematical applications.
Optimal Transport: Heat Equation and Metric Spaces
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Explores optimal transport in heat equations and metric spaces.
Distributions and Derivatives
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Covers distributions, derivatives, convergence, and continuity criteria in function spaces.
Differentiability in Analysis
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Explores differentiability in analysis, discussing conditions for functions to be differentiable and continuous.
Untitled
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Hermite Normal Form: Computation & Properties
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Covers the computation and properties of the Hermite Normal Form (HNF) in matrix theory and lattice theory.
Sparsest Cut: (log n) Approximation Algorithm
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Covers the (log n) approximation algorithm for the sparsest cut problem, presenting the mathematical theorems and proofs.
Optimal Transport: Cyclically Monotone Sets
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Covers cyclically monotone sets in optimal transport theory and their properties.
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