From Christoffel Words to Markoff Numbers

ISBN-13: 9780198827542 / Angielski / Twarda / 2019 / 176 str.

Christophe Reutenauer

Opis

This book looks to expand on the relationship between Christoffel words and Markoff theory. Part 1 focuses on the classical theory of Markoff, while part II explores the more advanced and recent results around Christoffel words.

Recenzje

For the first time in literature on the subject, this textbook treats the two aspects of Markoff's Theory simultaneously. Numerous figures throughout the book help to illustrate its points and provide proofs of discrete geometry. Ioan Tomescu, zbMath

O autorze

Christophe Reutenauer was educated at the Université Paris in 1977 before going on to complete his doctorate thesis at the same institution in 1980. He was a former researcher at CNRS (Centre National de la Recherche Scientifique) in Paris and LITP (Laboratoire d'Informatique Théorique et de Programmation) from 1976 to 1990. Reutenauer has, from 1985, been a professor at UQAM (Université du Québec à Montréal), and was also a professor at the University of Strasbourg between 1999 and 2001. Since then, he has been an invited professor or researcher at several universities, including Saarbrücken, Darmstadt, Roma, Napoli, Palermo, UQAM, San Diego (UCSD), Strasbourg, Montpelier, Bordeaux, Paris-Est, Nice, and the Mittag-Leffler Institute. He was also the Canadian Research Chair for "Algebra, Combinatorics and mathematical Informatics" between 2001 and 2015.