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- W2284612323 abstract "Divided symmetrization of a function $f(x_1,dots,x_n)$ is symmetrization of the ratio $$DS_G(f)=frac{f(x_1,dots,x_n)}{prod (x_i-x_j)},$$ where the product is taken over the set of edges of some graph $G$. We concentrate on the case when $G$ is a tree and $f$ is a polynomial of degree $n-1$, in this case $DS_G(f)$ is a constant function. We give a combinatorial interpretation of the divided symmetrization of monomials for general trees and probabilistic game interpretation for a tree which is a path. In particular, this implies a result by Postnikov originally proved by computing volumes of special polytopes, and suggests its generalization." @default.
- W2284612323 created "2016-06-24" @default.
- W2284612323 creator A5081347461 @default.
- W2284612323 date "2015-12-22" @default.
- W2284612323 modified "2023-09-27" @default.
- W2284612323 title "Combinatorial and Probabilistic Formulae for Divided Symmetrization" @default.
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