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Metastability A Potential-Theoretic Approach /
Metastability is a wide-spread phenomenon in the dynamics of non-linear systems - physical, chemical, biological or economic - subject to the action of temporal random forces typically referred to as noise. This monograph provides a concise presentation of mathematical approach to metastability base...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
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| Edición: | 1st ed. 2015. |
| Colección: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,
351 |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Part I Introduction
- 1.Background and motivation
- 2.Aims and scopes
- Part II Markov processes 3.Some basic notions from probability theory
- 4.Markov processes in discrete time
- 5.Markov processes in continuous time
- 6.Large deviations
- 7.Potential theory
- Part III Metastability
- 8.Key definitions and basic properties
- 9.Basic techniques
- Part IV Applications: Diffusions with small noise
- 10.Discrete reversible diffusions
- 11.Diffusion processes with gradient drift
- 12.Stochastic partial differential equations
- Part V Applications: Coarse-graining at positive temperatures
- 13.The Curie-Weiss model
- 14.The Curie-Weiss model with a random magnetic field: discrete distributions
- 15.The Curie-Weiss model with random magnetic field: continuous distributions
- Part VI Applications: Lattice systems in small volumes at low temperatures
- 16.Abstract set-up and metastability in the zero-temperature limit
- 17.Glauber dynamics
- 18.Kawasaki dynamics
- Part VII Applications: Lattice systems in large volumes at low temperatures
- 19.Glauber dynamics
- 20.Kawasaki dynamics
- Part VIII Applications: Lattice systems in small volumes at high densities
- 21.The zero-range process
- Part IX Challenges
- 22.Challenges within metastability
- 23.Challenges beyond metastability
- References.-Glossary
- Index. .