A Panorama of Discrepancy Theory
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Beschreibung
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 books on discrepancy theory but perhaps no one of them actually shows the present variety of points of view and applications covering the areas "Classical and Geometric Discrepancy Theory", "Combinatorial Discrepancy Theory" and "Applications and Constructions".Our book consists of several chapters, written by experts in the specific areas, and focused on the different aspects of the theory. The book should also be an invitation to researchers and students to find a quick way into the different methods and to motivate interdisciplinary research.
This is the first work on Discrepancy Theory to show the present variety of points of view and applications covering the areas Classical and Geometric Discrepancy Theory, Combinatorial Discrepancy Theory and Applications and Constructions. It consists of several chapters, written by experts in their respective fields and focusing on the different aspects of the theory.
Discrepancy theory concerns the problem of replacing a continuous object with a discrete sampling and is currently located at the crossroads of number theory, combinatorics, Fourier analysis, algorithms and complexity, probability theory and numerical analysis. This book presents an invitation to researchers and students to explore the different methods and is meant to motivate interdisciplinary research.
Provides an integrated view of discrepancy theory and its applications The various areas of discrepancy theory are bridged with a focus on the state of the art Serves as invitation to researchers and students to explore the different methods and to motivate interdisciplinary research
Autor*in
William Chen
Themen in »A Panorama of Discrepancy Theory«
11K38 11K06 11J71 11B25 11D75 11K60 65D30 65C05 11K45 Combinatorial Discrepancy Counting Problems Geometric Discrepancy Quasi-Monte Carlo Integration combinatorics algorithmic complexity