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

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An Introduction to Markov Processess of mathematics and include diophantine approximation, probability theory, number theory and various forms of Fourier analysis. We illustrate these ideas by largely restricting our discussion to two dimensions.

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0075-8434 he state of the art.Serves as invitation to researchers and .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

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An Introduction to Mathematical Cryptographyted 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 presented here. We further include state of the art methods for quasi-Monte Carlo integration.

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https://doi.org/10.1007/978-1-4939-1711-2have been designed. In particular, we explain methods to determine ..-discrepancies and approaches to tackle the inherently difficult problem to calculate the star discrepancy of given sample sets. We also discuss in more detail three applications of algorithms to approximate discrepancies.

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Book 2014h 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..

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Growth, acceleration and creditistic function of the convex body ., while .. is the unit sphere in .. In this chapter we provide the Fourier analytic background and we carefully investigate the relation between the .. discrepancy and the estimates of ..

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An Introduction to Cryptography,ch will be utilized to obtain asymptotic expansions of the Fourier transform of the solution sets . relating these exponential sums to Fourier transforms of surface carried measures. This will allow us to compare the discrete and continuous case and will be crucial in our estimates on the discrepancy.

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