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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.
2
votes
Is there a homotopy/homology-theory for probability spaces?
The question needs be expressed in categorical terms.
The category of topology $TOP$ consists of objects and morphisms being topological spaces and continuous maps, respectively. Homology and homotopy …
1
vote
On semi-discrete Wasserstein distance
You ask "given the $p_i>0$ and $\rho$ (which can be assumed to be as good as possible), under which condition on $x_1,\ldots, x_n$ each $x_i$ is the barycentre of $V_i$??"
In one sense the question an …