Understanding Randomness, Salsburg

Автор: Yufei Zhao
Название: Graph Theory and Additive Combinatorics: Exploring Structure and Randomness
ISBN: 1009310941 ISBN-13(EAN): 9781009310949
Издательство: Cambridge Academ
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Цена: 58070.00 T
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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
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Цена: 88500.00 T
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Описание: This book gives a comprehensive treatment of random phenomena and distribution results in diophantine approximation, with a particular emphasis on quadratic irrationals.

Автор: Khrennikov Andrei
Название: Probability And Randomness: Quantum Versus Classical
ISBN: 1783267968 ISBN-13(EAN): 9781783267965
Издательство: World Scientific Publishing
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Цена: 103490.00 T
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Описание:

Creating a rigorous mathematical theory of randomness is far from being complete, even in the classical case. Probability and Randomness: Quantum versus Classical rectifies this and introduces mathematical formalisms of classical and quantum probability and randomness with brief discussion of their interrelation and interpretational and foundational issues. The book presents the essentials of classical approaches to randomness, enlightens their successes and problems, and then proceeds to essentials of quantum randomness. Its wide-ranging and comprehensive scope makes it suitable for researchers in mathematical physics, probability and statistics at any level.

Автор: Karl Svozil
Название: Physical (A)Causality
ISBN: 3319889958 ISBN-13(EAN): 9783319889955
Издательство: Springer
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Цена: 46570.00 T
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
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Цена: 112290.00 T
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Автор: V. I. Ivanenko
Название: Decision Systems and Nonstochastic Randomness
ISBN: 144195547X ISBN-13(EAN): 9781441955470
Издательство: Springer
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Цена: 111790.00 T
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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
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Цена: 130430.00 T
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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: 111790.00 T
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
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Цена: 46570.00 T
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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
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Цена: 60550.00 T
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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: Sugita Hiroshi
Название: Probability and Random Number: A First Guide to Randomness
ISBN: 9813228253 ISBN-13(EAN): 9789813228252
Издательство: World Scientific Publishing
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Цена: 44350.00 T
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Описание:

This is a book of elementary probability theory that includes a chapter on algorithmic randomness. It rigorously presents definitions and theorems in computation theory, and explains the meanings of the theorems by comparing them with mechanisms of the computer, which is very effective in the current computer age.

Random number topics have not been treated by any books on probability theory, only some books on computation theory. However, the notion of random number is necessary for understanding the essential relation between probability and randomness. The field of probability has changed very much, thus this book will make and leave a big impact even to expert probabilists.

Readers from applied sciences will benefit from this book because it presents a very proper foundation of the Monte Carlo method with practical solutions, keeping the technical level no higher than 1st year university calculus.

Автор: Igor I. Gorban
Название: Randomness and Hyper-randomness
ISBN: 3319869310 ISBN-13(EAN): 9783319869315
Издательство: Springer
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Цена: 130430.00 T
Наличие на складе: 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. There are five parts. The first describes the phenomenon of statistical stability. The second outlines the mathematical foundations of probability theory. The third develops methods for detecting violations of statistical stability and presents the results of experimental research on actual processes of different physical nature that demonstrate the violations of statistical stability over broad observation intervals. The fourth part outlines the mathematical foundations of the theory of hyper-random phenomena. The fifth part discusses the problem of how to provide an adequate description of the world.
The monograph should be interest to a wide readership: from university students on a first course majoring in physics, engineering, and mathematics to engineers, post-graduate students, and scientists carrying out research on the statistical laws of natural physical phenomena, developing and using statistical methods for high-precision measurement, prediction, and signal processing over broad observation intervals.
To read the book, it is sufficient to be familiar with a standard first university course on mathematics.