Processus al\'eatoires et applications -- Algorithmes MCMC et vitesse de convergence
History and Overview
2024-12-11 v1 Probability
Abstract
Lecture notes (in French) of a master 2 level course in applied mathematics. Contents: Part I. Markov chains on a countable space. 1. Examples 2. Summary of basic properties. 3. Spectral theory and speed of convergence. 4. Lyapunov functions and speed of convergence. 5. MCMC algorithms. Part II. Markov chains on continuous space. 6. Definitions and examples. 7. Invariant probability and speed of convergence.
Keywords
Cite
@article{arxiv.2412.07396,
title = {Processus al\'eatoires et applications -- Algorithmes MCMC et vitesse de convergence},
author = {Nils Berglund},
journal= {arXiv preprint arXiv:2412.07396},
year = {2024}
}
Comments
89 pages, in French language, 10 figures