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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.
13
votes
Accepted
Is the space of continuous functions from a compact metric space into a Polish space Polish?
Yes, it appears e.g. as Theorem 4.19 in Chapter I of Kechris' Classical Descriptive Set Theory. (The relevant page is visible in Google Books if it's not in your library.)
4
votes
effective/constructive/algorithmic probability theory
A recent paper that gives the sort of effective result you're after is Freer and Roy's Computable exchangeable sequences have computable de Finetti measures. From their introduction:
The classical re …
6
votes
Accepted
A Game of Knights and Queens
Here's how White (my new name for Player 1) wins in the $u=v=1$ case. The idea is of course for White to force the knight to an edge, where it can then be summarily captured. WLOG let's force the kn …