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From Christoffel Words to Markoff Numbers

From Christoffel Words to Markoff Numbers (Hardback)

By Reutenauer, Christophe

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In 1875, Elwin Bruno Christoffel introduced a special class of words on a binary alphabet linked to continued fractions which would go onto be known as Christoffel words. Some years later, Andrey Markoff published his famous theory, the now called Markoff theory. It characterized... certain quadratic forms and certain real numbers by extremal inequalities. Both classes are constructed using certain natural numbers - known as Markoff numbers - and they are characterized by a certain Diophantine equality. More basically, they are constructed using certain words - essentially the Christoffel words. The link between Christoffel words and the theory of Markoff was noted by Ferdinand Frobenius in 1913, but has been neglected in recent times. Motivated by this overlooked connection, this book looks to expand on the relationship between these two areas. Part 1 focuses on the classical theory of Markoff, while Part II explores the more advanced and recent results of the theory of Christoffel words.
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ISBN 9780198827542
Released AU 29 Nov 2018
Publisher Oxford University Press (S1)
Format Hardback
Indent title (internationally sourced), allow 8-12 weeks

Full details for this title

ISBN-13 9780198827542
Stock Available
Status Indent title (internationally sourced), allow 8-12 weeks
Publisher Oxford University Press (S1)
Imprint Oxford University Press
Released 29 Nov 2018
Publication Country United Kingdom United Kingdom
Format Hardback
Author(s) By Reutenauer, Christophe
Category Mathematics
Number Theory
Number of Pages 176
Dimensions Width: 164mm
Height: 236mm
Spine: 14mm
Dewey Code 512.73
Weight 434g
Interest Age 19+ years
Reading Age 19+ years
Library of Congress Combinatorial analysis, Word problems Mathematics, Markov spectrum
NBS Text Mathematics
ONIX Text College/higher education