Probabilistic Diophantine Approximation Randomness in Lattice Point Counting /
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...
Clasificación: | Libro Electrónico |
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Autor principal: | |
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Formato: | Electrónico eBook |
Idioma: | Inglés |
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Cham :
Springer International Publishing : Imprint: Springer,
2014.
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Edición: | 1st ed. 2014. |
Colección: | Springer Monographs in Mathematics,
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Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- 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.