Lectures related to Spectral Gap and Mixing Time

Explores the spectral gap in Markov chains and its impact on convergence speed.

Covers the concept of limits of sequences, including definitions, examples, boundedness, and more.

Covers Cauchy sequences, induction, recursive sequences, and convergence in mathematical analysis.

Explores Cauchy sequences, convergence, bottoms, and series with illustrative examples.

Covers the concept of inductive series and their convergence conditions.

Covers the concepts of sequences, convergence, and boundedness in mathematics.

Explores principal components, covariance, correlation, choice, and applications in data analysis.

Explores Taylor series, convergence criteria, and applications in calculus.

Explains compact sets, convergence, and absolute convergence in real analysis.

Explores the convergence properties of Markov chains and the computation of long-run mean rewards.