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: 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: 3319889958 ISBN-13(EAN): 9783319889955 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Поставка под заказ.
Описание: This open access book addresses the physical phenomenon of events that seem to occur spontaneously and without any known cause. These are to be contrasted with events that happen in a (pre-)determined, predictable, lawful, and causal way. All our knowledge is based on self-reflexive theorizing, as well as on operational means of empirical perception. Some of the questions that arise are the following: are these limitations reflected by our models? Under what circumstances does chance kick in? Is chance in physics merely epistemic? In other words, do we simply not know enough, or use too crude levels of description for our predictions? Or are certain events 'truly', that is, irreducibly, random? The book tries to answer some of these questions by introducing intrinsic, embedded observers and provable unknowns; that is, observables and procedures which are certified (relative to the assumptions) to be unknowable or undoable. A (somewhat iconoclastic) review of quantum mechanics is presented which is inspired by quantum logic. Postulated quantum (un-)knowables are reviewed. More exotic unknowns originate in the assumption of classical continua, and in finite automata and generalized urn models, which mimic complementarity and yet maintain value definiteness. Traditional conceptions of free will, miracles and dualistic interfaces are based on gaps in an otherwise deterministic universe.
Автор: Tice, Bradley S. Название: A Level of Martin-Lof Randomness ISBN: 1578087511 ISBN-13(EAN): 9781578087518 Издательство: Taylor&Francis Рейтинг: Цена: 16843.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: V. I. Ivanenko Название: Decision Systems and Nonstochastic Randomness ISBN: 144195547X ISBN-13(EAN): 9781441955470 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents the first mathematical formalization of the statistical regularities of non-stochastic randomness and demonstrates how these regularities extend the standard probability-based model of decision making under uncertainty, allowing for the description of uncertain mass events that do not fit standard stochastic models.
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: V. I. Ivanenko Название: Decision Systems and Nonstochastic Randomness ISBN: 1489984968 ISBN-13(EAN): 9781489984968 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents the first mathematical formalization of the statistical regularities of non-stochastic randomness and demonstrates how these regularities extend the standard probability-based model of decision making under uncertainty, allowing for the description of uncertain mass events that do not fit standard stochastic models.
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: 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: Jaroslaw Strzalko; Juliusz Grabski; Przemyslaw Per Название: Dynamics of Gambling: Origins of Randomness in Mechanical Systems ISBN: 3642039596 ISBN-13(EAN): 9783642039591 Издательство: Springer Рейтинг: Цена: 11179.00 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.
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: 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.
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