Probabilistic Diophantine Approximation Randomness in Lattice Point Counting /

• Main Author: Beck, József (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Number theory.; Probabilities.; Number Theory.; Probability Theory and Stochastic Processes.

This book gives a comprehensive treatment of random phenomena and distribution results in diophantine approximation, with a particular emphasis on quadratic irrationals. It covers classical material on the subject as well as many new results developed by the author over the past decade. A range of i...

Table of Contents:

• Preface.- 1 What is "probabilistic" diophantine approximation?.- 2 Expectation, and its connection with quadratic fields.- 3 Variance, and its connection with quadratic fields.- 4 Proving randomness.- 5 Pell equation, super irregularity and randomness.- 6 More on randomness
• References
• Index.