Cycle Representations of Markov Processes (Record no. 57480)

MARC details
000 -LEADER
fixed length control field 03909nam a22004215i 4500
001 - CONTROL NUMBER
control field 978-0-387-36081-2
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20250710083956.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 100301s2006 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780387360812
-- 99780387360812
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/0-387-36081-6
Source of number or code doi
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 519.2
Edition information 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Kalpazidou, Sophia L.
Relator term author.
245 10 - TITLE STATEMENT
Title Cycle Representations of Markov Processes
Medium [recurso electrónico] /
Statement of responsibility, etc. by Sophia L. Kalpazidou.
250 ## - EDITION STATEMENT
Edition statement Second Edition.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture New York, NY :
Name of producer, publisher, distributor, manufacturer Springer New York,
Date of production, publication, distribution, manufacture, or copyright notice 2006.
300 ## - PHYSICAL DESCRIPTION
Extent XX, 301 p. 17 illus.
Other physical details online resource.
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term recurso en línea
Carrier type code cr
Source rdacarrier
347 ## - DIGITAL FILE CHARACTERISTICS
File type text file
Encoding format PDF
Source rda
490 1# - SERIES STATEMENT
Series statement Stochastic Modelling and Applied Probability,
International Standard Serial Number 0172-4568 ;
Volume/sequential designation 28
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Fundamentals of the Cycle Representations of Markov Processes -- Directed Circuits -- Genesis of Markov Chains by Circuits: The Circuit Chains -- Cycle Representations of Recurrent Denumerable Markov Chains -- Circuit Representations of Finite Recurrent Markov Chains -- Continuous Parameter Circuit Processes with Finite State Space -- Spectral Theory of Circuit Processes -- Higher-Order Circuit Processes -- Cycloid Markov Processes -- Markov Processes on Banach Spaces on Cycles -- The Cycle Measures -- Wide-Ranging Interpretations of the Cycle Representations of Markov Processes -- Applications of the Cycle Representations -- Stochastic Properties in Terms of Circuits -- Lévy's Theorem Concerning Positiveness of Transition Probabilities -- The Rotational Theory of Markov Processes.
520 ## - SUMMARY, ETC.
Summary, etc. This book is a prototype providing new insight into Markovian dependence via the cycle decompositions. It presents a systematic account of a class of stochastic processes known as cycle (or circuit) processes - so-called because they may be defined by directed cycles. These processes have special and important properties through the interaction between the geometric properties of the trajectories and the algebraic characterization of the Markov process. An important application of this approach is the insight it provides to electrical networks and the duality principle of networks. In particular, it provides an entirely new approach to infinite electrical networks and their applications in topics as diverse as random walks, the classification of Riemann surfaces, and to operator theory. The second edition of this book adds new advances to many directions, which reveal wide-ranging interpretations of the cycle representations like homologic decompositions, orthogonality equations, Fourier series, semigroup equations, and disintegration of measures. The versatility of these interpretations is consequently motivated by the existence of algebraic-topological principles in the fundamentals of the cycle representations. This book contains chapter summaries as well as a number of detailed illustrations. Review of the earlier edition: "This is a very useful monograph which avoids ready ways and opens new research perspectives. It will certainly stimulate further work, especially on the interplay of algebraic and geometrical aspects of Markovian dependence and its generalizations." Math Reviews.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MATHEMATICS.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element DISTRIBUTION (PROBABILITY THEORY).
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MATHEMATICS.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element PROBABILITY THEORY AND STOCHASTIC PROCESSES.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9780387291666
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Stochastic Modelling and Applied Probability,
International Standard Serial Number 0172-4568 ;
Volume/sequential designation 28
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://dx.doi.org/10.1007/0-387-36081-6">http://dx.doi.org/10.1007/0-387-36081-6</a>
Public note Ver el texto completo en las instalaciones del CICY
912 ## -
-- ZDB-2-SMA
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Koha item type Libros electrónicos
Holdings
Lost status Source of classification or shelving scheme Damaged status Not for loan Collection Home library Current library Shelving location Date acquired Total checkouts Full call number Date last seen Price effective from Koha item type
  Dewey Decimal Classification     Libro electrónico CICY CICY Libro electrónico 10.07.2025   519.2 10.07.2025 10.07.2025 Libros electrónicos