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Related lectures (29)
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Equidistribution of CM Points
Covers the joint equidistribution of CM points in algebraic structures and quadratic forms.
Equidistribution of CM Points
Explores the joint equidistribution of CM points and their properties in ergodic theory and homogeneous dynamics.
Determinantal Point Processes and Extrapolation
Covers determinantal point processes, sine-process, and their extrapolation in different spaces.
Analysis IV: Convolution and Hilbert Structure
Explores convolution, uniform continuity, Hilbert structure, and Lebesgue measure in analysis.
Introduction to Quantum Chaos
Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.
Probability Theory: Integration and Convergence
Covers topics in probability theory, focusing on uniform integrability and convergence theorems.
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Simplicial and Cosimplicial Objects: Examples and Applications
Covers simplicial and cosimplicial objects in category theory with practical examples.
Lebesgue Integration: Simple Functions
Covers the Lebesgue integration of simple functions and the approximation of nonnegative functions from below using piecewise constant functions.
Independence and Products
Covers independence between random variables and product measures in probability theory.