A Level of Martin-Lof Randomness, Tice, Bradley S.

Автор: Itai Benjamini
Название: Coarse Geometry and Randomness
ISBN: 3319025759 ISBN-13(EAN): 9783319025759
Издательство: Springer
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Цена: 32600.00 T
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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
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Цена: 132000.00 T
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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
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Цена: 135090.00 T
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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
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Цена: 78350.00 T
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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: J?zsef Beck
Название: Probabilistic Diophantine Approximation
ISBN: 3319107402 ISBN-13(EAN): 9783319107400
Издательство: Springer
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Цена: 111790.00 T
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: J?zsef Beck
Название: Probabilistic Diophantine Approximation
ISBN: 3319354655 ISBN-13(EAN): 9783319354651
Издательство: Springer
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Цена: 88500.00 T
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: Jaroslaw Strzalko; Juliusz Grabski; Przemyslaw Per
Название: Dynamics of Gambling: Origins of Randomness in Mechanical Systems
ISBN: 3642039596 ISBN-13(EAN): 9783642039591
Издательство: Springer
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Цена: 74530.00 T
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: 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: 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: 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: 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: Нет в наличии.
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.

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: Нет в наличии.
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.