Proposal from Giacomo
First proposal:
O.Cappe’, C.Robert and T.Ryden (2003) Reversible jump MCMC converging to birth-and-death MCMC and more general continuous time samplercappe2003_rjmcmcvsbdmcmc.pdf
Second proposal: Sections 12.2,12.3,12.4 from Jerrum & Sinclair (1996) The Markov Chain Monte Carlo Method: an approach to approximate counting and integrationjerrum_sinclair_mcmc.pdf This include the derivation of an explicit bound for a Metropolis-Hastings algorithm on a discrete space using canonical paths techniques (used to bound the conductance). It's quite specific but at the same time interesting and rather unique.