On convex polytopes of distributions preserved by finite field operations

A. D. Yashunsky


Abstract: We construct families of polytopes in the space of probability distributions over a finite field, which are preserved, i.e. when adding or multiplying independent random variables with distributions from the constructed set, one obtains a result whose distribution belongs to the set as well.

Keywords: random variable, finite field, preserved set, convex polytope.

Language: English