I'm struggling with this comment, I don't necessarily disagree with the spirit of it, but I feel that you're doing Markov chains something of a disservice by cl

I'm struggling with this comment, I don't necessarily disagree with the spirit of it, but I feel that you're doing Markov chains something of a disservice by claiming they're mainly useful for "finitely few states". You're completely ignoring immensely important topics like MCMC which (can) operate on uncountable spaces. The vast, vast majority of MCMC research and usage is with continuous random variables.