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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.

3 votes

Probabilities and rolling 2 dice

You can also solve this linear recurrence using a Markov-like method. Working from Tony Huynh's recurrence, define a 13x13 matrix $M$ such that: $ M_{0,k} = p(k) $, where $p(k)$ is the probability o …
Mikola's user avatar
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12 votes
2 answers
2k views

What is the probability a random Turing machine is isomorphic to a DFA?

This is a sort of Chaitin/Omega constant type question, and so I do not expect this probability to be computable to arbitrary precision. However, it is also a very practical thing to know from the pe …
Mikola's user avatar
  • 2,392