Book contents
- Frontmatter
- Colophon
- Contents
- Preface
- 1 Semigroups of Operators and Cosine Operator Functions
- PART I REGULAR CONVERGENCE
- 2 The First Convergence Theorem
- 3 Continuous Dependence on Boundary Conditions
- 4 Semipermeable Membrane
- 5 Convergence of Forms
- 6 Uniform Approximation of Semigroups
- 7 Convergence of Resolvents
- 8 (Regular) Convergence of Semigroups
- 9 A Queue in Heavy Traffic
- 10 Elastic Brownian Motions
- 11 Back to the Membrane
- 12 Telegraph with Small Parameter
- 13 Minimal Markov Chains
- 14 Outside of the Regularity Space: A Bird's-Eye View
- 15 Hasegawa's Condition
- 16 Blackwell's Example
- 17 Wright's Diffusion
- 18 Discrete-Time Approximation
- 19 Discrete-Time Approximation: Examples
- 20 Back to Wright's Diffusion
- 21 Kingman's n-Coalescent
- 22 The Feynman–Kac Formula
- 23 The Two-Dimensional Dirac Equation
- 24 Approximating Spaces
- 25 Boundedness, Stabilization
- PART II IRREGULAR CONVERGENCE
- PART III CONVERGENCE OF COSINE FAMILIES
- PART IV APPENDIXES
13 - Minimal Markov Chains
from PART I - REGULAR CONVERGENCE
Published online by Cambridge University Press: 05 July 2016
Book contents
- Frontmatter
- Colophon
- Contents
- Preface
- 1 Semigroups of Operators and Cosine Operator Functions
- PART I REGULAR CONVERGENCE
- 2 The First Convergence Theorem
- 3 Continuous Dependence on Boundary Conditions
- 4 Semipermeable Membrane
- 5 Convergence of Forms
- 6 Uniform Approximation of Semigroups
- 7 Convergence of Resolvents
- 8 (Regular) Convergence of Semigroups
- 9 A Queue in Heavy Traffic
- 10 Elastic Brownian Motions
- 11 Back to the Membrane
- 12 Telegraph with Small Parameter
- 13 Minimal Markov Chains
- 14 Outside of the Regularity Space: A Bird's-Eye View
- 15 Hasegawa's Condition
- 16 Blackwell's Example
- 17 Wright's Diffusion
- 18 Discrete-Time Approximation
- 19 Discrete-Time Approximation: Examples
- 20 Back to Wright's Diffusion
- 21 Kingman's n-Coalescent
- 22 The Feynman–Kac Formula
- 23 The Two-Dimensional Dirac Equation
- 24 Approximating Spaces
- 25 Boundedness, Stabilization
- PART II IRREGULAR CONVERGENCE
- PART III CONVERGENCE OF COSINE FAMILIES
- PART IV APPENDIXES
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- Convergence of One-Parameter Operator SemigroupsIn Models of Mathematical Biology and Elsewhere, pp. 74 - 80Publisher: Cambridge University PressPrint publication year: 2016