Markov Chains and Cosmology essay

Hello all,

This is my first post here and so I hope I am posting in the appropriate section. My question is actually related to both Physics and Discrete Mathematics. I'm writing a very general essay (no rigorous derivations or extremely involved mathematics) about Markov chains as they are applied to cosmology. I've spend the past 3 or 4 hours pouring over the resources offered by my college's library as well as those offered by the internet. Sadly, this search hasn't yielded too much. I found a few papers on Markov Chain Monte Carlo methods, but these papers tend to get very detailed, complicated, and long.

The main question I have for all of you helpful folks making up these forums is where I can go to find information on the basics of Markov Chains and how they are applied to cosmology. Do you have any papers or authors to suggest? Perhaps a relatively common book? Websites will also work. I just haven’t been able to find many good sources.

Also, my professor mentioned that there is a debate about whether or not Markov Chains/Discrete methods are applicable to cosmology due to the fact that the universe may or may not be a physical realization of infinity. If anyone knows where I could find resources on such a debate, it would be greatly appreciated. I have been unable to find anything other than vague hints at such a debate in my search for sources.

That about sums up my requests. Thanks in advance to all those that help/provide sources of information.
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 Well, it seems that my question may have been too broad and perhaps I didn't illustrate the efforts I have put forth (I'm basing this on the fairly high number of views and the lack of any responses, but it is possible I just haven't allowed sufficient time. If this is the case, I apologize for this extension to my post). At this point I have about three papers and one or two books from which I can derive the basics of Markov chains and how they are applied to cosmology. So I can now narrow my question down. What I have been completely unable to find almost ANY clear evidence of is an ongoing debate on the validity of applying Markov chains to cosmology in the Physics community. If anyone knows of such a debate or where I could find evidence of such a debate, I would be greatly indebted.