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Probability Space

Author : Nancy Kress
Publisher : Macmillan
Page : 372 pages
File Size : 49,99 MB
Release : 2004-01-05
Category : Fiction
ISBN : 9780765345141

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Nancy Kress cemented her reputation in SF with the publication of her multiple-award–winning novella, “Beggars in Spain,” which became the basis for her extremely successful Beggars Trilogy (comprising Beggars in Spain, Beggars and Choosers, and Beggars Ride). And now she brings us Probability Space, the conclusion of the trilogy that began with Probability Moon and then Probability Sun, which is centered on the same world as Kress’s Nebula Award-winning novelette, “Flowers of Aulit Prison.” The Probability Trilogy has already been widely recognized as the next great work by this important SF writer. In Probability Space, humanity’s war with the alien Fallers continues, and it is a war we are losing. Our implacable foes ignore all attempts at communication, and they take no prisoners. Our only hope lies with an unlikely coalition: Major Lyle Kaufman, retired warrior; Marbet Grant, the Sensitive who’s involved with Kaufman; Amanda, a very confused fourteen-year-old girl; and Magdalena, one of the biggest power brokers in all of human space. As the action moves from Earth to Mars to the farthest reaches of known space, with civil unrest back home and alien war in deep space, four humans--armed with little more than an unproven theory--try to enter the Fallers’ home star system. It’s a desperate gamble, and the fate of the entire universe may hang in the balance.

Probability in Banach Spaces

Author : Michel Ledoux
Publisher : Springer Science & Business Media
Page : 493 pages
File Size : 12,31 MB
Release : 2013-03-09
Category : Mathematics
ISBN : 3642202128

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Isoperimetric, measure concentration and random process techniques appear at the basis of the modern understanding of Probability in Banach spaces. Based on these tools, the book presents a complete treatment of the main aspects of Probability in Banach spaces (integrability and limit theorems for vector valued random variables, boundedness and continuity of random processes) and of some of their links to Geometry of Banach spaces (via the type and cotype properties). Its purpose is to present some of the main aspects of this theory, from the foundations to the most important achievements. The main features of the investigation are the systematic use of isoperimetry and concentration of measure and abstract random process techniques (entropy and majorizing measures). Examples of these probabilistic tools and ideas to classical Banach space theory are further developed.

Hilbert Space Methods in Probability and Statistical Inference

Author : Christopher G. Small
Publisher : John Wiley & Sons
Page : 268 pages
File Size : 14,30 MB
Release : 2011-09-15
Category : Mathematics
ISBN : 1118165535

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Explains how Hilbert space techniques cross the boundaries into the foundations of probability and statistics. Focuses on the theory of martingales stochastic integration, interpolation and density estimation. Includes a copious amount of problems and examples.

Random Probability Measures on Polish Spaces

Author : Hans Crauel
Publisher : CRC Press
Page : 186 pages
File Size : 37,55 MB
Release : 2002-07-25
Category : Mathematics
ISBN : 1134480377

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In this monograph the narrow topology on random probability measures on Polish spaces is investigated in a thorough and comprehensive way. As a special feature, no additional assumptions on the probability space in the background, such as completeness or a countable generated algebra, are made. One of the main results is a direct proof of the rando

Gradient Flows

Author : Luigi Ambrosio
Publisher : Springer Science & Business Media
Page : 333 pages
File Size : 32,94 MB
Release : 2008-10-29
Category : Mathematics
ISBN : 376438722X

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The book is devoted to the theory of gradient flows in the general framework of metric spaces, and in the more specific setting of the space of probability measures, which provide a surprising link between optimal transportation theory and many evolutionary PDE's related to (non)linear diffusion. Particular emphasis is given to the convergence of the implicit time discretization method and to the error estimates for this discretization, extending the well established theory in Hilbert spaces. The book is split in two main parts that can be read independently of each other.

Probability Distributions on Banach Spaces

Author : N Vakhania
Publisher : Springer Science & Business Media
Page : 507 pages
File Size : 49,89 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 940093873X

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Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Probability Sun

Author : Nancy Kress
Publisher : Tor Books
Page : 366 pages
File Size : 38,31 MB
Release : 2003-02-17
Category : Fiction
ISBN : 146682526X

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Salvation or Annihilation? A strange artifact has been discovered on a distant planet, an artifact that may be the key to humanity's salvation. For we at war with the Fallers, an alien race bent on nothing short of genocide, and this is a war we are losing. The artifact is not only a powerful weapon, but possibly the rosetta stone to a lost superscience . . . a superscience that the Fallers may have already decoded. Or it may be a doomsday machine that could destroy the very fabric of space. At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.

Reproducing Kernel Hilbert Spaces in Probability and Statistics

Author : Alain Berlinet
Publisher : Springer Science & Business Media
Page : 369 pages
File Size : 36,2 MB
Release : 2011-06-28
Category : Business & Economics
ISBN : 1441990968

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The book covers theoretical questions including the latest extension of the formalism, and computational issues and focuses on some of the more fruitful and promising applications, including statistical signal processing, nonparametric curve estimation, random measures, limit theorems, learning theory and some applications at the fringe between Statistics and Approximation Theory. It is geared to graduate students in Statistics, Mathematics or Engineering, or to scientists with an equivalent level.

Probability Measures on Metric Spaces

Author : K. R. Parthasarathy
Publisher : Academic Press
Page : 289 pages
File Size : 20,2 MB
Release : 2014-07-03
Category : Mathematics
ISBN : 1483225259

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Probability Measures on Metric Spaces presents the general theory of probability measures in abstract metric spaces. This book deals with complete separable metric groups, locally impact abelian groups, Hilbert spaces, and the spaces of continuous functions. Organized into seven chapters, this book begins with an overview of isomorphism theorem, which states that two Borel subsets of complete separable metric spaces are isomorphic if and only if they have the same cardinality. This text then deals with properties such as tightness, regularity, and perfectness of measures defined on metric spaces. Other chapters consider the arithmetic of probability distributions in topological groups. This book discusses as well the proofs of the classical extension theorems and existence of conditional and regular conditional probabilities in standard Borel spaces. The final chapter deals with the compactness criteria for sets of probability measures and their applications to testing statistical hypotheses. This book is a valuable resource for statisticians.

High-Dimensional Probability

Author : Roman Vershynin
Publisher : Cambridge University Press
Page : 299 pages
File Size : 20,46 MB
Release : 2018-09-27
Category : Business & Economics
ISBN : 1108415199

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An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.