Titlebook: A Panorama of Discrepancy Theory; William Chen,Anand Srivastav,Giancarlo Travaglini Book 2014 Springer International Publishing Switzerlan

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Introduction and Overview of This Book,nified by the same approach originated in the work of Klaus Roth (Mathematika 1:73–79, 1954) and based on multiparameter Haar (or other orthogonal) function expansions. Traditionally, the most important estimates of the discrepancy function were obtained using variations of this method. However, des

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Growth, acceleration and creditand rotated copies of a given .-dimensional convex body ., then a result proved by W. Schmidt, J. Beck and H. Montgomery shows that the corresponding .. discrepancy cannot be smaller than .. Moreover, this estimate is sharp, thanks to results of D. Kendall, J. Beck and W. Chen. Both lower and upper

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An Introduction to Mathematical Cryptographyeory was established as an area of research going back to the seminal paper by Weyl [117], whereas Monte Carlo (and later quasi-Monte Carlo) was invented in the 1940s by John von Neumann and Stanislaw Ulam to solve practical problems. The connection between these areas is well understood and will be

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https://doi.org/10.1007/978-1-4939-1711-2ts the calculation of discrepancy measures in a more general context, we focus on the geometric discrepancy measures for which computation algorithms have been designed. In particular, we explain methods to determine ..-discrepancies and approaches to tackle the inherently difficult problem to calcu

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William Chen,Anand Srivastav,Giancarlo TravagliniProvides 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