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Related lectures (31)
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Correlations of the Liouville function
Explores correlations of the Liouville function along deterministic and independent sequences, covering key concepts and theorems.
Ergodic properties in exponential dynamics
Explores ergodic properties in exponential dynamics, emphasizing dense orbits and specific functions.
Theory of MCMC
Covers the theory of Markov Chain Monte Carlo (MCMC) sampling and discusses convergence conditions, transition matrix choice, and target distribution evolution.
Signals & Systems II: Complex Random Vectors and Stationarity
Explores complex random vectors, stationarity, ergodicity, and the analysis of signals.
Markov Chains: Ergodic Chains Examples
Covers stochastic models for communications, focusing on discrete-time Markov chains.
Equidistribution of CM Points
Explores the joint equidistribution of CM points and their properties in ergodic theory and homogeneous dynamics.
Classical Scattering Theory
Covers the classical scattering theory for two-body systems and the behavior of molecules in critical conditions.
A Conjecture of Erdös: Proof by Moreira, Richter and Robertson
Presents a short proof of a conjecture by Erdös, exploring related questions and detailed proof of the proposition.
Structure of Measure-Preserving Systems
Covers the abstract structure of measure-preserving systems and aims to understand their classification and ergodic decompositions.
Stochastic Processes: Ergodicity
Explores ergodicity in continuous-time stochastic processes and its properties as time approaches infinity.