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).
تحميل البحث