V. M. Buchstaber, E. V. Koritskaya, “Quasilinear Burgers–Hopf Equation and Stasheff Polytopes”, Funktsional. Anal. i Prilozhen., 2007, Volume 41, Issue 3,Pages <nobr>34

This article is cited in 6 papers

Quasilinear Burgers–Hopf Equation and Stasheff Polytopes

V. M. Buchstaber^a, E. V. Koritskaya^b

^a Steklov Mathematical Institute, Russian Academy of Sciences
^b M. V. Lomonosov Moscow State University

Abstract: The generating function for the numbers of faces of the $n$th Stasheff polytope is shown to satisfy the quasilinear Burgers–Hopf equation. Applications of this result are given.

Keywords: Stasheff polytope, Catalan number, Burgers–Hopf equation, generating function, series of polytopes, modular graph.

UDC: 519.2

Received: 04.07.2007

DOI: 10.4213/faa2867