From Christoffel Words to Markoff Numbers

by Christophe Reutenauer

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...

• Format: Hardcover
• Language: English
• ISBN: 0198827547
• ISBN13: 9780198827542
• Release Date: January 2019
• Publisher: Oxford University Press
• Length: 170 Pages
• Weight: 0.90 lbs.
• Dimensions: 0.6" x 6.1" x 9.3"