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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.

5 votes
0 answers
253 views

Uniqueness of localic analogue of Radon-Nikodym derivatives

In classical probability theory, Radon-Nikodym derivatives are unique up to measure-0 sets of the background measure. I am wondering whether the following statement, intended to state an analogue of t …
Ben's user avatar
  • 303
0 votes

Defining measures over frames in place of $\sigma$-algebras

In fact, the analogue of measures for frames has in fact been studied under the name "valuations." As far as I'm aware, concept and name originates from the following papers: Claire Jones and Gordon …
Ben's user avatar
  • 303
3 votes

Products of double-negation sublocales (and probability distributions on them)

I just want to expand on Simon's answers. Simon was correct regarding my mistaken interest in probability distributions over double-negation locales. Measures, Randomness, and Sublocales by Alex Simp …
Ben's user avatar
  • 303
5 votes
2 answers
199 views

Products of double-negation sublocales (and probability distributions on them)

In locale theory, one can produce from any locale $A$ its double negation sublocale $A_{\neg\neg}$ via the nucleus which maps an open $U$ of $A$ to $\neg \neg U$, which is the interior of the closure …
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  • 303