Quantized Number Theory, Fractal Strings and the Riemann Hypothesis: From Spectral Operators to Phase Transitions and Universality

by Michel L Lapidus and Hafedh Herichi

Studying the relationship between the geometry, arithmetic and spectra of fractals has been a subject of significant interest in contemporary mathematics. This book contributes to the literature on the subject in several different and new ways. In particular, the authors provide a rigorous and detailed study of the spectral operator, a map that sends the geometry of fractal strings onto their spectrum. To that effect, they use and develop methods...

• Format: Hardcover
• Language: English
• ISBN: 9813230797
• ISBN13: 9789813230798
• Release Date: August 2021
• Publisher: World Scientific Publishing Company
• Length: 496 Pages
• Weight: 2.16 lbs.
• Dimensions: 1.1" x 6.7" x 9.6"