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I am an incoming graduate student in Theoretical Physics in the Netherlands, and I would like to know if any of you could recommend texts on random walks with applications to physics. My university offers a course on random-walks but I unfortunately do not have the pre-requisites (measure theory) to actually take the course. Hence I am looking for rather basic references and more advanced ones too in order to self-teach myself on random-walks with applications to Physics.

My interests lie in the fields of Statistical Physics, Soft Matter and Polymer Physics.

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