A Panorama of Discrepancy Theory

Discrepancy theory concerns the problem of replacing a continuous object with a discrete sampling. Discrepancy theory is currently at a crossroads between number theory, combinatorics, Fourier analysis, algorithms and complexity, probability theory and numerical analysis. There are several excellent...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Chen, William (Editor ), Srivastav, Anand (Editor ), Travaglini, Giancarlo (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Lecture Notes in Mathematics, 2107
Temas:
Number theory.
Discrete mathematics.
Fourier analysis.
Mathematics.
Probabilities.
Numerical analysis.
Number Theory.
Discrete Mathematics.
Fourier Analysis.
Applications of Mathematics.
Probability Theory.
Numerical Analysis.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preface
  • Classical and Geometric Discrepancy
  • Upper Bounds in Classical Discrepancy Theory
  • Roth's Orthogonal Function Method in Discrepancy Theory and Some New Connections.- Irregularities of distribution and average decay of Fourier transforms.- Superirregularity
  • Combinatorial Discrepancy
  • Multicolor Discrepancy of Arithmetic Structures
  • Algorithmic Aspects of Combinatorial Discrepancy
  • Practical Algorithms for Low-Discrepancy 2-Colorings
  • Applications and Constructions
  • On the distribution of solutions to diophantine equations
  • Discrepancy theory and quasi-Monte Carlo integration
  • Calculation of Discrepancy Measures and Applications
  • Author index
  • Subject index.

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