Toy examples for effective concentration bounds
Dynamical Systems
2021-02-19 v1 Functional Analysis
Probability
Abstract
In this note we prove a spectral gap for various Markov chains on various functional spaces. While proving that a spectral gap exists is relatively common, explicit estimates seems somewhat rare.These estimates are then used to apply the concentration inequalities of "Effective limit theorems for Markov chains with a spectral gap" (most of the present material was part of Section 3 of that article, which has been reduced to its core in the published version).
Cite
@article{arxiv.2102.09215,
title = {Toy examples for effective concentration bounds},
author = {Benoît Kloeckner},
journal= {arXiv preprint arXiv:2102.09215},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:1703.09623