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Funktsional'nyi Analiz i ego Prilozheniya, 2007, Volume 41, Issue 3, Pages 34–47
DOI: https://doi.org/10.4213/faa2867 (Mi faa2867) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Quasilinear Burgers–Hopf Equation and Stasheff Polytopes

V. M. Buchstabera, E. V. Koritskayab

a Steklov Mathematical Institute, Russian Academy of Sciences
b M. V. Lomonosov Moscow State University
Full-text PDF (219 kB) Citations (6)
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DOI: https://doi.org/10.4213/faa2867
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.
Received: 04.07.2007
English version:
Functional Analysis and Its Applications, 2007, Volume 41, Issue 3, Pages 196–207
DOI: https://doi.org/10.1007/s10688-007-0017-8
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: V. M. Buchstaber, E. V. Koritskaya, “Quasilinear Burgers–Hopf Equation and Stasheff Polytopes”, Funktsional. Anal. i Prilozhen., 41:3 (2007), 34–47; Funct. Anal. Appl., 41:3 (2007), 196–207
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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