Author: Heikki Bonsdorff
Publisher:
ISBN:
Category :
Languages : en
Pages : 3
Book Description
A Note on Foguel's "The Ergodic Theory of Markov Processes"
Author: Heikki Bonsdorff
Publisher:
ISBN:
Category :
Languages : en
Pages : 3
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 3
Book Description
The Ergodic Theory of Markov Processes
Author: Shaul R. Foguel
Publisher:
ISBN:
Category : Ergodic theory
Languages : en
Pages : 126
Book Description
Publisher:
ISBN:
Category : Ergodic theory
Languages : en
Pages : 126
Book Description
Ergodic Behavior of Markov Processes
Author: Alexei Kulik
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110458934
Category : Mathematics
Languages : en
Pages : 268
Book Description
The general topic of this book is the ergodic behavior of Markov processes. A detailed introduction to methods for proving ergodicity and upper bounds for ergodic rates is presented in the first part of the book, with the focus put on weak ergodic rates, typical for Markov systems with complicated structure. The second part is devoted to the application of these methods to limit theorems for functionals of Markov processes. The book is aimed at a wide audience with a background in probability and measure theory. Some knowledge of stochastic processes and stochastic differential equations helps in a deeper understanding of specific examples. Contents Part I: Ergodic Rates for Markov Chains and Processes Markov Chains with Discrete State Spaces General Markov Chains: Ergodicity in Total Variation MarkovProcesseswithContinuousTime Weak Ergodic Rates Part II: Limit Theorems The Law of Large Numbers and the Central Limit Theorem Functional Limit Theorems
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110458934
Category : Mathematics
Languages : en
Pages : 268
Book Description
The general topic of this book is the ergodic behavior of Markov processes. A detailed introduction to methods for proving ergodicity and upper bounds for ergodic rates is presented in the first part of the book, with the focus put on weak ergodic rates, typical for Markov systems with complicated structure. The second part is devoted to the application of these methods to limit theorems for functionals of Markov processes. The book is aimed at a wide audience with a background in probability and measure theory. Some knowledge of stochastic processes and stochastic differential equations helps in a deeper understanding of specific examples. Contents Part I: Ergodic Rates for Markov Chains and Processes Markov Chains with Discrete State Spaces General Markov Chains: Ergodicity in Total Variation MarkovProcesseswithContinuousTime Weak Ergodic Rates Part II: Limit Theorems The Law of Large Numbers and the Central Limit Theorem Functional Limit Theorems
Introduction to Ergodic rates for Markov chains and processes
Author: Kulik, Alexei
Publisher: Universitätsverlag Potsdam
ISBN: 3869563389
Category : Mathematics
Languages : en
Pages : 138
Book Description
The present lecture notes aim for an introduction to the ergodic behaviour of Markov Processes and addresses graduate students, post-graduate students and interested readers. Different tools and methods for the study of upper bounds on uniform and weak ergodic rates of Markov Processes are introduced. These techniques are then applied to study limit theorems for functionals of Markov processes. This lecture course originates in two mini courses held at University of Potsdam, Technical University of Berlin and Humboldt University in spring 2013 and Ritsumameikan University in summer 2013. Alexei Kulik, Doctor of Sciences, is a Leading researcher at the Institute of Mathematics of Ukrainian National Academy of Sciences.
Publisher: Universitätsverlag Potsdam
ISBN: 3869563389
Category : Mathematics
Languages : en
Pages : 138
Book Description
The present lecture notes aim for an introduction to the ergodic behaviour of Markov Processes and addresses graduate students, post-graduate students and interested readers. Different tools and methods for the study of upper bounds on uniform and weak ergodic rates of Markov Processes are introduced. These techniques are then applied to study limit theorems for functionals of Markov processes. This lecture course originates in two mini courses held at University of Potsdam, Technical University of Berlin and Humboldt University in spring 2013 and Ritsumameikan University in summer 2013. Alexei Kulik, Doctor of Sciences, is a Leading researcher at the Institute of Mathematics of Ukrainian National Academy of Sciences.
Ergodicity of Markov Processes via Nonstandard Analysis
Author: Haosui Duanmu
Publisher: American Mathematical Society
ISBN: 147045002X
Category : Mathematics
Languages : en
Pages : 114
Book Description
View the abstract.
Publisher: American Mathematical Society
ISBN: 147045002X
Category : Mathematics
Languages : en
Pages : 114
Book Description
View the abstract.
The Ergodic Theory of Markov Processes
Author: Shaul R. Foguel
Publisher:
ISBN:
Category : Ergodic theory
Languages : en
Pages : 120
Book Description
Publisher:
ISBN:
Category : Ergodic theory
Languages : en
Pages : 120
Book Description
Introduction to Ergodic Theory
Author: I︠A︡kov Grigorʹevich Sinaĭ
Publisher: Princeton University Press
ISBN: 9780691081823
Category : Ergodic theory
Languages : en
Pages : 156
Book Description
Publisher: Princeton University Press
ISBN: 9780691081823
Category : Ergodic theory
Languages : en
Pages : 156
Book Description
The Ergodic Theory of Markov Process
Author: Shaul R. Foguel
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
An Introduction to Infinite Ergodic Theory
Author: Jon Aaronson
Publisher: American Mathematical Soc.
ISBN: 0821804944
Category : Mathematics
Languages : en
Pages : 298
Book Description
Infinite ergodic theory is the study of measure preserving transformations of infinite measure spaces. The book focuses on properties specific to infinite measure preserving transformations. The work begins with an introduction to basic nonsingular ergodic theory, including recurrence behaviour, existence of invariant measures, ergodic theorems, and spectral theory. A wide range of possible "ergodic behaviour" is catalogued in the third chapter mainly according to the yardsticks of intrinsic normalizing constants, laws of large numbers, and return sequences. The rest of the book consists of illustrations of these phenomena, including Markov maps, inner functions, and cocycles and skew products. One chapter presents a start on the classification theory.
Publisher: American Mathematical Soc.
ISBN: 0821804944
Category : Mathematics
Languages : en
Pages : 298
Book Description
Infinite ergodic theory is the study of measure preserving transformations of infinite measure spaces. The book focuses on properties specific to infinite measure preserving transformations. The work begins with an introduction to basic nonsingular ergodic theory, including recurrence behaviour, existence of invariant measures, ergodic theorems, and spectral theory. A wide range of possible "ergodic behaviour" is catalogued in the third chapter mainly according to the yardsticks of intrinsic normalizing constants, laws of large numbers, and return sequences. The rest of the book consists of illustrations of these phenomena, including Markov maps, inner functions, and cocycles and skew products. One chapter presents a start on the classification theory.
Markov Processes, Feller Semigroups and Evolution Equations
Author: J. A. van Casteren
Publisher: World Scientific
ISBN: 9814322180
Category : Mathematics
Languages : en
Pages : 825
Book Description
The book provides a systemic treatment of time-dependent strong Markov processes with values in a Polish space. It describes its generators and the link with stochastic differential equations in infinite dimensions. In a unifying way, where the square gradient operator is employed, new results for backward stochastic differential equations and long-time behavior are discussed in depth. The book also establishes a link between propagators or evolution families with the Feller property and time-inhomogeneous Markov processes. This mathematical material finds its applications in several branches of the scientific world, among which are mathematical physics, hedging models in financial mathematics, and population models.
Publisher: World Scientific
ISBN: 9814322180
Category : Mathematics
Languages : en
Pages : 825
Book Description
The book provides a systemic treatment of time-dependent strong Markov processes with values in a Polish space. It describes its generators and the link with stochastic differential equations in infinite dimensions. In a unifying way, where the square gradient operator is employed, new results for backward stochastic differential equations and long-time behavior are discussed in depth. The book also establishes a link between propagators or evolution families with the Feller property and time-inhomogeneous Markov processes. This mathematical material finds its applications in several branches of the scientific world, among which are mathematical physics, hedging models in financial mathematics, and population models.