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Results tagged with pr.probability
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user 7089
Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory.
11
votes
1
answer
556
views
Distribution of subset-sums
Let $A$ be a set of $n$ integers uniformly distributed in $\{0,\dots,N-1\}$. Let $S$ be the set of subset-sums modulo $N$ of $A$. Let $f_{n,N}(k)$ be the probability that $|S|=k$.
Is there an expres …
- 2,649
6
votes
0
answers
271
views
Examples in which probabilistic heuristic reasoning fails
There are examples of conjectures in which one can use probabilistic heuristic reasoning to show that they are very likely to be true. For instance, Freeman Dyson used probabilistic heuristic reasonin …
- 2,649
4
votes
1
answer
719
views
Heuristic probabilistic argument for the Navier-Stokes existence and smoothness conjecture
The Collatz Conjecture is a famous conjecture that has never been proven; nevertheless, there exists a simple heuristic probabilistic argument which supports its truth - in Wikipedia's words, "If one …
- 2,649
3
votes
Heuristic probabilistic argument for the Navier-Stokes existence and smoothness conjecture
The following is the best probabilistic heuristic argument I know, which convinces me that either there is no blow up of the 3D Navier-Stokes equations for any initial data, or a blow up is very unlik …
- 2,649