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I am thinking of taking a mathematics graduate level course in Measure Theory. The course seems very challenging (from my background in physics where mathematics is less rigorous) but it opens up very interesting options such as Stochastic Calculus and Random Walks. Essentially I'd like to know how useful is knowledge of these two sub-fields of mathematics in modern research in Statistical, Biological & Soft Matter Physics ? From my knowledge, the Master Equation formalism includes stochastic terms and random walks are used as polymer models, but i'd like deeper insights ... If you also have any text recommendations ?

If anyone working in the fields of soft matter, biological physics, quantitative biology could give any advice it’d be very much appreciated !