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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.

7 votes
2 answers
232 views

Local view of setting p*n out of n bits to 1

For p a constant in (0,1) and n going to infinity such that pn is an integer, consider the distribution on n bits that selects a random subset of pn bits, sets those to 1, and sets the others to 0. Wh …
Manu's user avatar
  • 393
4 votes
1 answer
397 views

Streamlined probability measure for tossing infinitely many coins

The standard probability measure over countably many independent coin tosses (i.e., the probability that you get a prescribed prefix of length $v$ is $2^{-v}$) is usually obtained via results in measu …
Manu's user avatar
  • 393