Invariant Probabilities of Markov-Feller Operators and Their Supports

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764371340
Total Pages : 1008 pages
Book Rating : 4.3/5 (713 download)

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Book Synopsis Invariant Probabilities of Markov-Feller Operators and Their Supports by : Radu Zaharopol

Download or read book Invariant Probabilities of Markov-Feller Operators and Their Supports written by Radu Zaharopol and published by Springer Science & Business Media. This book was released on 2005-01-28 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers invariant probabilities for a large class of discrete-time homogeneous Markov processes known as Feller processes. These Feller processes appear in the study of iterated function systems with probabilities, convolution operators, and certain time series. From the reviews: "A very useful reference for researchers wishing to enter the area of stationary Markov processes both from a probabilistic and a dynamical point of view." --MONATSHEFTE FÜR MATHEMATIK

Invariant Probabilities of Markov-Feller Operators and Their Supports

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Publisher : Springer Science & Business Media
ISBN 13 : 376437344X
Total Pages : 118 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Invariant Probabilities of Markov-Feller Operators and Their Supports by : Radu Zaharopol

Download or read book Invariant Probabilities of Markov-Feller Operators and Their Supports written by Radu Zaharopol and published by Springer Science & Business Media. This book was released on 2005-02-02 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers invariant probabilities for a large class of discrete-time homogeneous Markov processes known as Feller processes. These Feller processes appear in the study of iterated function systems with probabilities, convolution operators, and certain time series. From the reviews: "A very useful reference for researchers wishing to enter the area of stationary Markov processes both from a probabilistic and a dynamical point of view." --MONATSHEFTE FÜR MATHEMATIK

Invariant Probabilities of Transition Functions

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Publisher : Springer
ISBN 13 : 3319057235
Total Pages : 389 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Invariant Probabilities of Transition Functions by : Radu Zaharopol

Download or read book Invariant Probabilities of Transition Functions written by Radu Zaharopol and published by Springer. This book was released on 2014-06-27 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transition functions, and are studied in this book. The results obtained are useful in ergodic theory and the theory of dynamical systems, which, in turn, can be applied in various other areas (like number theory). They are illustrated using transition functions defined by flows, semiflows, and one-parameter convolution semigroups of probability measures. In this book, all results on transition probabilities that have been published by the author between 2004 and 2008 are extended to transition functions. The proofs of the results obtained are new. For transition functions that satisfy very general conditions the book describes an ergodic decomposition that provides relevant information on the structure of the corresponding set of invariant probabilities. Ergodic decomposition means a splitting of the state space, where the invariant ergodic probability measures play a significant role. Other topics covered include: characterizations of the supports of various types of invariant probability measures and the use of these to obtain criteria for unique ergodicity, and the proofs of two mean ergodic theorems for a certain type of transition functions. The book will be of interest to mathematicians working in ergodic theory, dynamical systems, or the theory of Markov processes. Biologists, physicists and economists interested in interacting particle systems and rigorous mathematics will also find this book a valuable resource. Parts of it are suitable for advanced graduate courses. Prerequisites are basic notions and results on functional analysis, general topology, measure theory, the Bochner integral and some of its applications.

Markov Chains and Invariant Probabilities

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Publisher : Birkhäuser
ISBN 13 : 3034880243
Total Pages : 213 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Markov Chains and Invariant Probabilities by : Onésimo Hernández-Lerma

Download or read book Markov Chains and Invariant Probabilities written by Onésimo Hernández-Lerma and published by Birkhäuser. This book was released on 2012-12-06 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about discrete-time, time-homogeneous, Markov chains (Mes) and their ergodic behavior. To this end, most of the material is in fact about stable Mes, by which we mean Mes that admit an invariant probability measure. To state this more precisely and give an overview of the questions we shall be dealing with, we will first introduce some notation and terminology. Let (X,B) be a measurable space, and consider a X-valued Markov chain ~. = {~k' k = 0, 1, ... } with transition probability function (t.pJ.) P(x, B), i.e., P(x, B) := Prob (~k+1 E B I ~k = x) for each x E X, B E B, and k = 0,1, .... The Me ~. is said to be stable if there exists a probability measure (p.m.) /.l on B such that (*) VB EB. /.l(B) = Ix /.l(dx) P(x, B) If (*) holds then /.l is called an invariant p.m. for the Me ~. (or the t.p.f. P).

Flag-transitive Steiner Designs

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Publisher : Springer Science & Business Media
ISBN 13 : 303460002X
Total Pages : 125 pages
Book Rating : 4.0/5 (346 download)

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Book Synopsis Flag-transitive Steiner Designs by : Michael Huber

Download or read book Flag-transitive Steiner Designs written by Michael Huber and published by Springer Science & Business Media. This book was released on 2009-03-21 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: The characterization of combinatorial or geometric structures in terms of their groups of automorphisms has attracted considerable interest in the last decades and is now commonly viewed as a natural generalization of Felix Klein’s Erlangen program(1872).Inaddition,especiallyfor?nitestructures,importantapplications to practical topics such as design theory, coding theory and cryptography have made the ?eld even more attractive. The subject matter of this research monograph is the study and class- cation of ?ag-transitive Steiner designs, that is, combinatorial t-(v,k,1) designs which admit a group of automorphisms acting transitively on incident point-block pairs. As a consequence of the classi?cation of the ?nite simple groups, it has been possible in recent years to characterize Steiner t-designs, mainly for t=2,adm- ting groups of automorphisms with su?ciently strong symmetry properties. For Steiner 2-designs, arguably the most general results have been the classi?cation of all point 2-transitive Steiner 2-designs in 1985 by W. M. Kantor, and the almost complete determination of all ?ag-transitive Steiner 2-designs announced in 1990 byF.Buekenhout,A.Delandtsheer,J.Doyen,P.B.Kleidman,M.W.Liebeck, and J. Saxl. However, despite the classi?cation of the ?nite simple groups, for Steiner t-designs witht> 2 most of the characterizations of these types have remained long-standing challenging problems. Speci?cally, the determination of all ?- transitive Steiner t-designs with 3? t? 6 has been of particular interest and object of research for more than 40 years.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 900 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2006 with total page 900 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Mathematics of Minkowski Space-Time

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Publisher : Springer Science & Business Media
ISBN 13 : 3764386142
Total Pages : 256 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis The Mathematics of Minkowski Space-Time by : Francesco Catoni

Download or read book The Mathematics of Minkowski Space-Time written by Francesco Catoni and published by Springer Science & Business Media. This book was released on 2008-06-29 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book arose out of original research on the extension of well-established applications of complex numbers related to Euclidean geometry and to the space-time symmetry of two-dimensional Special Relativity. The system of hyperbolic numbers is extensively studied, and a plain exposition of space-time geometry and trigonometry is given. Commutative hypercomplex systems with four unities are studied and attention is drawn to their interesting properties.

Gradient Flows

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764324285
Total Pages : 348 pages
Book Rating : 4.3/5 (242 download)

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Book Synopsis Gradient Flows by : Luigi Ambrosio

Download or read book Gradient Flows written by Luigi Ambrosio and published by Springer Science & Business Media. This book was released on 2005-01-28 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to a theory of gradient ?ows in spaces which are not nec- sarily endowed with a natural linear or di?erentiable structure. It is made of two parts, the ?rst one concerning gradient ?ows in metric spaces and the second one 2 1 devoted to gradient ?ows in the L -Wasserstein space of probability measures on p a separable Hilbert space X (we consider the L -Wasserstein distance, p? (1,?), as well). The two parts have some connections, due to the fact that the Wasserstein space of probability measures provides an important model to which the “metric” theory applies, but the book is conceived in such a way that the two parts can be read independently, the ?rst one by the reader more interested to Non-Smooth Analysis and Analysis in Metric Spaces, and the second one by the reader more oriented to theapplications in Partial Di?erential Equations, Measure Theory and Probability.

Near Polygons

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764375522
Total Pages : 280 pages
Book Rating : 4.3/5 (755 download)

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Book Synopsis Near Polygons by : Bart de Bruyn

Download or read book Near Polygons written by Bart de Bruyn and published by Springer Science & Business Media. This book was released on 2006-04-19 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Near polygons were introduced about 25 years ago and studied intensively in the 1980s. In recent years the subject has regained interest. This monograph gives an extensive overview of the basic theory of general near polygons. The first part of the book includes a discussion of the classes of dense near polygons, regular near polygons, and glued near polygons. Also valuations, one of the most important tools for classifying dense near polygons, are treated in detail. The second part of the book discusses the classification of dense near polygons with three points per line. The book is self-contained and almost all theorems are accompanied with proofs. Several new results are presented. Many known results occur in a more general form and the proofs are often more streamlined than their original versions. The volume is aimed at advanced graduate students and researchers in the fields of combinatorics and finite geometry.

Projective Geometry and Formal Geometry

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Publisher : Birkhäuser
ISBN 13 : 3034879369
Total Pages : 220 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Projective Geometry and Formal Geometry by : Lucian Badescu

Download or read book Projective Geometry and Formal Geometry written by Lucian Badescu and published by Birkhäuser. This book was released on 2012-12-06 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this monograph is to introduce the reader to modern methods of projective geometry involving certain techniques of formal geometry. Some of these methods are illustrated in the first part through the proofs of a number of results of a rather classical flavor, involving in a crucial way the first infinitesimal neighbourhood of a given subvariety in an ambient variety. Motivated by the first part, in the second formal functions on the formal completion X/Y of X along a closed subvariety Y are studied, particularly the extension problem of formal functions to rational functions. The formal scheme X/Y, introduced to algebraic geometry by Zariski and Grothendieck in the 1950s, is an analogue of the concept of a tubular neighbourhood of a submanifold of a complex manifold. It is very well suited to study the given embedding Y\subset X. The deep relationship of formal geometry with the most important connectivity theorems in algebraic geometry, or with complex geometry, is also studied. Some of the formal methods are illustrated and applied to homogeneous spaces. The book contains a lot of results obtained over the last thirty years, many of which never appeared in a monograph or textbook. It addresses to algebraic geometers as well as to those interested in using methods of algebraic geometry.

Topics in Factorization of Abelian Groups

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764371586
Total Pages : 354 pages
Book Rating : 4.3/5 (715 download)

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Book Synopsis Topics in Factorization of Abelian Groups by : Sandor Szabo

Download or read book Topics in Factorization of Abelian Groups written by Sandor Szabo and published by Springer Science & Business Media. This book was released on 2004-10-25 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main objective of this book is to give a systematic exposition of the main results and techniques of the factorization theory of abelian groups. The necessary background materials are presented along with some of the most important applications in geometry, combinatorics, coding theory, and number theory. A large part of the text is accessible to students, requiring only basic knowledge in group theory and algebra. Helpful exercises are provided in every chapter.

Markov Processes, Feller Semigroups and Evolution Equations

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Publisher :
ISBN 13 : 9814464171
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Markov Processes, Feller Semigroups and Evolution Equations by :

Download or read book Markov Processes, Feller Semigroups and Evolution Equations written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fokker–Planck–Kolmogorov Equations

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Publisher : American Mathematical Society
ISBN 13 : 1470470098
Total Pages : 495 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Fokker–Planck–Kolmogorov Equations by : Vladimir I. Bogachev

Download or read book Fokker–Planck–Kolmogorov Equations written by Vladimir I. Bogachev and published by American Mathematical Society. This book was released on 2022-02-10 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an exposition of the principal concepts and results related to second order elliptic and parabolic equations for measures, the main examples of which are Fokker–Planck–Kolmogorov equations for stationary and transition probabilities of diffusion processes. Existence and uniqueness of solutions are studied along with existence and Sobolev regularity of their densities and upper and lower bounds for the latter. The target readership includes mathematicians and physicists whose research is related to diffusion processes as well as elliptic and parabolic equations.

Revue Roumaine de Mathématiques Pures Et Appliquées

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Publisher :
ISBN 13 :
Total Pages : 724 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Revue Roumaine de Mathématiques Pures Et Appliquées by :

Download or read book Revue Roumaine de Mathématiques Pures Et Appliquées written by and published by . This book was released on 2007 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Markov Chains

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Publisher : Springer
ISBN 13 : 3319977040
Total Pages : 758 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Markov Chains by : Randal Douc

Download or read book Markov Chains written by Randal Douc and published by Springer. This book was released on 2018-12-11 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the classical theory of Markov chains on general state-spaces as well as many recent developments. The theoretical results are illustrated by simple examples, many of which are taken from Markov Chain Monte Carlo methods. The book is self-contained, while all the results are carefully and concisely proven. Bibliographical notes are added at the end of each chapter to provide an overview of the literature. Part I lays the foundations of the theory of Markov chain on general states-space. Part II covers the basic theory of irreducible Markov chains on general states-space, relying heavily on regeneration techniques. These two parts can serve as a text on general state-space applied Markov chain theory. Although the choice of topics is quite different from what is usually covered, where most of the emphasis is put on countable state space, a graduate student should be able to read almost all these developments without any mathematical background deeper than that needed to study countable state space (very little measure theory is required). Part III covers advanced topics on the theory of irreducible Markov chains. The emphasis is on geometric and subgeometric convergence rates and also on computable bounds. Some results appeared for a first time in a book and others are original. Part IV are selected topics on Markov chains, covering mostly hot recent developments.

Newsletter

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Publisher :
ISBN 13 :
Total Pages : 288 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Newsletter by : New Zealand Mathematical Society

Download or read book Newsletter written by New Zealand Mathematical Society and published by . This book was released on 2004 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Dynkin Festschrift

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Publisher : Springer Science & Business Media
ISBN 13 : 1461202795
Total Pages : 433 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Dynkin Festschrift by : Mark I. Freidlin

Download or read book The Dynkin Festschrift written by Mark I. Freidlin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Onishchik, A. A. Kirillov, and E. B. Vinberg, who obtained their first results on Lie groups in Dynkin's seminar. At a later stage, the work of the seminar was greatly enriched by the active participation of 1. 1. Pyatetskii Shapiro. As already noted, Dynkin started to work in probability as far back as his undergraduate studies. In fact, his first published paper deals with a problem arising in Markov chain theory. The most significant among his earliest probabilistic results concern sufficient statistics. In [15] and [17], Dynkin described all families of one-dimensional probability distributions admitting non-trivial sufficient statistics. These papers have considerably influenced the subsequent research in this field. But Dynkin's most famous results in probability concern the theory of Markov processes. Following Kolmogorov, Feller, Doob and Ito, Dynkin opened a new chapter in the theory of Markov processes. He created the fundamental concept of a Markov process as a family of measures corresponding to var ious initial times and states and he defined time homogeneous processes in terms of the shift operators ()t. In a joint paper with his student A.