Описание: Using the dichotomy of structure and pseudorandomness as a central theme, this accessible text provides a modern introduction to extremal graph theory and additive combinatorics. Readers will explore central results in additive combinatorics-notably the cornerstone theorems of Roth, Szemeredi, Freiman, and Green-Tao-and will gain additional insights into these ideas through graph theoretic perspectives. Topics discussed include the Turan problem, Szemeredi's graph regularity method, pseudorandom graphs, graph limits, graph homomorphism inequalities, Fourier analysis in additive combinatorics, the structure of set addition, and the sum-product problem. Important combinatorial, graph theoretic, analytic, Fourier, algebraic, and geometric methods are highlighted. Students will appreciate the chapter summaries, many figures and exercises, and freely available lecture videos on MIT OpenCourseWare. Meant as an introduction for students and researchers studying combinatorics, theoretical computer science, analysis, probability, and number theory, the text assumes only basic familiarity with abstract algebra, analysis, and linear algebra.
Автор: Salsburg Название: Understanding Randomness ISBN: 0824770579 ISBN-13(EAN): 9780824770570 Издательство: Taylor&Francis Рейтинг: Цена: 22202.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Alejandro Maass; Servet Mart?nez; Jaime San Mart?n Название: Dynamics and Randomness ISBN: 1402005911 ISBN-13(EAN): 9781402005916 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Contains the lectures given at the Conference on Dynamics and Randomness held at the Centro de Modelamiento Matematico of the Universidad de Chile, on December 2000. This volume is useful for those working in probability theory, stochastic processes, information theory, coding theory, statistical physics, and thermodynamics.
Автор: Igor I. Gorban Название: Randomness and Hyper-randomness ISBN: 3319607790 ISBN-13(EAN): 9783319607795 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The monograph compares two approaches that describe the statistical stability phenomenon - one proposed by the probability theory that ignores violations of statistical stability and another proposed by the theory of hyper-random phenomena that takes these violations into account.
Автор: J?zsef Beck Название: Probabilistic Diophantine Approximation ISBN: 3319107402 ISBN-13(EAN): 9783319107400 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book gives a comprehensive treatment of random phenomena and distribution results in diophantine approximation, with a particular emphasis on quadratic irrationals.
Автор: Borda Monica, Terebes Romulus, Malutan Raul Название: Randomness and Elements of Decision Theory Applied to Signals ISBN: 3030903133 ISBN-13(EAN): 9783030903138 Издательство: Springer Рейтинг: Цена: 9083.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book offers an overview on the main modern important topics in random variables, random processes, and decision theory for solving real-world problems.
Автор: J?zsef Beck Название: Probabilistic Diophantine Approximation ISBN: 3319354655 ISBN-13(EAN): 9783319354651 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book gives a comprehensive treatment of random phenomena and distribution results in diophantine approximation, with a particular emphasis on quadratic irrationals.
Автор: Karl Svozil Название: Physical (A)Causality ISBN: 3319708147 ISBN-13(EAN): 9783319708140 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is open access under a CC BY 4.0 license.This book addresses the physical phenomenon of events that seem to occur spontaneously and without any known cause.
Автор: Itai Benjamini Название: Coarse Geometry and Randomness ISBN: 3319025759 ISBN-13(EAN): 9783319025759 Издательство: Springer Рейтинг: Цена: 4890.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Isoperimetry and expansions in graphs.- Several metric notions.- The hyperbolic plane and hyperbolic graphs.- More on the structure of vertex transitive graphs.- Percolation on graphs.- Local limits of graphs.- Random planar geometry.- Growth and isoperimetric profile of planar graphs.- Critical percolation on non-amenable groups.- Uniqueness of the infinite percolation cluster.- Percolation perturbations.- Percolation on expanders.- Harmonic functions on graphs.- Nonamenable Liouville graphs.
Автор: Edited By Johanna N. Название: Algorithmic randomness ISBN: 1108478980 ISBN-13(EAN): 9781108478984 Издательство: Cambridge Academ Рейтинг: Цена: 19800.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume surveys many exciting recent developments in the field of algorithmic randomness and its interactions with other areas of mathematics, presenting a unified view of the theory. It will be a valuable reference for specialists and an excellent entry point for graduate students and other newcomers to the field.
Автор: Bernd M?ller; Michael Beer Название: Fuzzy Randomness ISBN: 3642073123 ISBN-13(EAN): 9783642073120 Издательство: Springer Рейтинг: Цена: 20263.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: sections dealing with fuzzy functions and fuzzy random functions are certain to be of special interest. The methods of fuzzy structural analysis and fuzzy probabilistic structural analysis developed in Chap. The most important forms of the latter are the Fuzzy Finite Element Method (FFEM) and the Fuzzy Stochastic Finite Element Method (FSFEM).
Автор: Jaroslaw Strzalko; Juliusz Grabski; Przemyslaw Per Название: Dynamics of Gambling: Origins of Randomness in Mechanical Systems ISBN: 3642261949 ISBN-13(EAN): 9783642261947 Издательство: Springer Рейтинг: Цена: 11753.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Not only does this monograph provide a general analysis of random effects in mechanical (engineering) systems, but it addresses deep questions concerning the nature of randomness, and gives potentially useful tips for gamblers and the gaming industry.
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