Stochastic Process prerequsites and difficulty?

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My university is offering a course called "Stochastic Process". The only prerequisites to this course according to my university is a course in Probability which uses the book by Rosen.

I've read elsewhere that the course actually requires more of analysis (functional analysis and measure theory) than probability.

The course briefly mentions

Random walks, Markov chains, Poisson processes, graphs


There is no instructor announced, so I cannot ask him or her about the course. The word "graph" suggests there is also graph theory involved.

So does anyone know the prerequisites based on the description? For some reason, none of those terms in the description seem to have anything to do analysis.
 
on Phys.org

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