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St. Petersburg Mathematical Journal
St. Petersburg Mathematical Journal
ISSN 1547-7371(online) ISSN 1061-0022(print)

 

Moments for the multidimensional Mönkemeyer algorithm


Author: M. Yu. Vodolagin
Translated by: A. Plotkin
Original publication: Algebra i Analiz, tom 25 (2013), nomer 4.
Journal: St. Petersburg Math. J. 25 (2014), 533-545
MSC (2010): Primary 11J70
Published electronically: June 5, 2014
MathSciNet review: 3184615
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Abstract: Moments asymptotics is studied for the partition corresponding to the multidimensional Mönkemeyer algorithm. A multidimensional generalization of a two-dimensional result by Moshchevitin and Vielhaber is proved.


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Additional Information

M. Yu. Vodolagin
Affiliation: Faculty of Mechanics and Mathematics, Moscow State University, 1 Leninskiye Gory, GSP\nobreakdash-1, 119991, Moscow, Russia
Email: karganak@gmail.com

DOI: http://dx.doi.org/10.1090/S1061-0022-2014-01305-2
PII: S 1061-0022(2014)01305-2
Keywords: M\"onkemeyer algorithm, generalized Farey--Brocot algorithm, multidimensional continued fractions
Received by editor(s): May 27, 2010
Published electronically: June 5, 2014
Additional Notes: The author was supported by RFBR (grant no. 12-01-00681a)
Article copyright: © Copyright 2014 American Mathematical Society