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Moscow Mathematical Journal, 2006, Volume 6, Number 3, Pages 461–475
DOI: https://doi.org/10.17323/1609-4514-2006-6-3-461-475 (Mi mmj256) 		 
This article is cited in 15 scientific papers (total in 15 papers)

The boundary of the Eulerian number triangle

A. V. Gnedina, G. I. Olshanskiib

a Utrecht University
b Institute for Information Transmission Problems, Russian Academy of Sciences
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DOI: https://doi.org/10.17323/1609-4514-2006-6-3-461-475
Abstract: The Eulerian triangle is a classical array of combinatorial numbers defined by a linear recursion. The associated boundary problem asks one to find all extreme nonnegative solutions to a dual recursion. Exploiting connections with random permutations and Markov chains we show that the boundary is discrete and explicitly identify its elements.
Key words and phrases: Eulerian numbers, extreme boundary, descents.
Received: March 6, 2006
Bibliographic databases:
MSC: 60J50, 60C05
Language: English
Citation: A. V. Gnedin, G. I. Olshanskii, “The boundary of the Eulerian number triangle”, Mosc. Math. J., 6:3 (2006), 461–475
Citation in format AMSBIB
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\by A.~V.~Gnedin, G.~I.~Olshanskii
\paper The boundary of the Eulerian number triangle
\jour Mosc. Math.~J.
\yr 2006
\vol 6
\issue 3
\pages 461--475
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2274860}
\zmath{https://zbmath.org/?q=an:1126.60065}
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    • This publication is cited in the following 15 articles:
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