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Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory.
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First order approximation of the current in ASEP
For me the "physical intuition" is the fact that exclusion processes tend to clog up for large densities and hence you cannot expect a faster current than in the $\rho = \frac{1}{2}$ case, even when y …