# Central Limit Theorem for Markov Chains


• I don't think he's asking about almost sure convergence. I think he wants a sort of 'translation' of some of the CLTs on general spaces: probably an explanation of what the required assumptions mean in the specific context of finite state space chains – Taylor Nov 3 '16 at 5:23
• Thanks. Would a normal, nice, finite-state Markov chain trivially satisfy the drift condition? I would even be happy knowing it for just a two-state chain, but it's far from obvious to me how to prove it. – tom4everitt Nov 3 '16 at 6:05