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Sinopsis
<P>THIS BOOK PROVIDES A RIGOROUS BUT ELEMENTARY INTRODUCTION TO THE THEORY OF MARKOV PROCESSES ON A COUNTABLE STATE SPACE. IT SHOULD BE ACCESSIBLE TO STUDENTS WITH A SOLID UNDERGRADUATE BACKGROUND IN MATHEMATICS, INCLUDING STUDENTS FROM ENGINEERING, ECONOMICS, PHYSICS, AND BIOLOGY. TOPICS COVERED ARE: DOEBLIN'S THEORY, GENERAL ERGODIC PROPERTIES, AND CONTINUOUS TIME PROCESSES. APPLICATIONS ARE DISPERSED THROUGHOUT THE BOOK. IN ADDITION, A WHOLE CHAPTER IS DEVOTED TO REVERSIBLE PROCESSES AND THE USE OF THEIR ASSOCIATED DIRICHLET FORMS TO ESTIMATE THE RATE OF CONVERGENCE TO EQUILIBRIUM. THESE RESULTS ARE THEN APPLIED TO THE ANALYSIS OF THE METROPOLIS (A.K.A SIMULATED ANNEALING) ALGORITHM.</P><P>THE CORRECTED AND ENLARGED 2<SUP>ND</SUP> EDITION CONTAINS A NEW CHAPTER IN WHICH THE AUTHOR DEVELOPS COMPUTATIONAL METHODS FOR MARKOV CHAINS ON A FINITE STATE SPACE. MOST INTRIGUING IS THE SECTION WITH A NEW TECHNIQUE FOR COMPUTING STATIONARY MEASURES, WHICH IS APPLIED TO DERIVATIONS OF WILSON'S ALGORITHM AND KIRCHOFF'S FORMULA FOR SPANNING TREES IN A CONNECTED GRAPH.</P>
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Reseña del editor
This book provides a rigorous but elementary introduction to the theory of Markov Processes on a countable state space. Topics covered include: Doeblin's theory, general ergodic properties, and continuous time processes.
Contraportada
This book provides a rigorous but elementary introduction to the theory of Markov Processes on a countable state space. It should be accessible to students with a solid undergraduate background in mathematics, including students from engineering, economics, physics, and biology. Topics covered are: Doeblin's theory, general ergodic properties, and continuous time processes. Applications are dispersed throughout the book. In addition, a whole chapter is devoted to reversible processes and the use of their associated Dirichlet forms to estimate the rate of convergence to equilibrium. These results are then applied to the analysis of the Metropolis (a.k.a simulated annealing) algorithm.
The corrected and enlarged 2nd edition contains a new chapter in which the author develops computational methods for Markov chains on a finite state space. Most intriguing is the section with a new technique for computing stationary measures, which is applied to derivations of Wilson's algorithm and Kirchoff's formula for spanning trees in a connected graph.
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- EditorialSpringer
- Año de publicación2016
- ISBN 10 3662517825
- ISBN 13 9783662517826
- EncuadernaciónTapa blanda
- IdiomaInglés
- Número de páginas224
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EUR 17,64 gastos de envío desde Reino Unido a Estados Unidos de America
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An Introduction to Markov Processes
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Springer Berlin Heidelberg Aug 2016, 2016
ISBN 10: 3662517825
ISBN 13: 9783662517826
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book provides a rigorous but elementary introduction to the theory of Markov Processes on a countable state space. It should be accessible to students with a solid undergraduate background in mathematics, including students from engineering, economics, physics, and biology. Topics covered are: Doeblin's theory, general ergodic properties, and continuous time processes. Applications are dispersed throughout the book. In addition, a whole chapter is devoted to reversible processes and the use of their associated Dirichlet forms to estimate the rate of convergence to equilibrium. These results are then applied to the analysis of the Metropolis (a.k.a simulated annealing) algorithm.The corrected and enlarged 2nd edition contains a new chapter in which the author develops computational methods for Markov chains on a finite state space. Most intriguing is the section with a new technique for computing stationary measures, which is applied to derivations of Wilson's algorithm and Kirchoff's formula for spanning trees in a connected graph. 224 pp. Englisch. Nº de ref. del artículo: 9783662517826
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Introduction to Markov Processes
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An Introduction to Markov Processes
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Springer Berlin Heidelberg, 2016
ISBN 10: 3662517825
ISBN 13: 9783662517826
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Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book provides a rigorous but elementary introduction to the theory of Markov Processes on a countable state space. It should be accessible to students with a solid undergraduate background in mathematics, including students from engineering, economics, physics, and biology. Topics covered are: Doeblin's theory, general ergodic properties, and continuous time processes. Applications are dispersed throughout the book. In addition, a whole chapter is devoted to reversible processes and the use of their associated Dirichlet forms to estimate the rate of convergence to equilibrium. These results are then applied to the analysis of the Metropolis (a.k.a simulated annealing) algorithm.The corrected and enlarged 2nd edition contains a new chapter in which the author develops computational methods for Markov chains on a finite state space. Most intriguing is the section with a new technique for computing stationary measures, which is applied to derivations of Wilson's algorithm and Kirchoff's formula for spanning trees in a connected graph. Nº de ref. del artículo: 9783662517826
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An Introduction to Markov Processes
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ISBN 13: 9783662517826
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