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Parabolic Anderson problem and intermittency /
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
1994.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 518. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- ""CONTENTS""; ""I: INTRODUCTION""; ""II: EXISTENCE AND UNIQUENESS PROBLEMS""; ""II.1 The Deterministic Problem""; ""II.1.1 The Feynman�Kac Representation""; ""II.1.2 Special Notations""; ""II.1.3 Existence Problems""; ""II.1.4 Uniqueness""; ""II.2 The Random Case""; ""II.2.1 Setting of the Problem""; ""II.2.2 Continuity of the Feynman�Kac Formula""; ""II.2.3 The Case of a Homogeneous Potential Field""; ""II.2.4 The Case of a White Noise Potential""; ""II.2.5 A Diffusion Limit Approximation Result""; ""II.3 Existence and Equations for the Moments""
- ""III: MOMENT LYAPUNOV EXPONENTS AND INTERMITTENCY""""III.1 The White Noise Case""; ""III.1.1 Existence of the Moment Lyapunov Exponents""; ""III.1.2 An Explicitly Solvable Model""; ""III.1.3 First General Properties""; ""III.1.4 Small k Behavior of γ[sub(p)](K)""; ""III.1.5 Large K Behavior of γ[sub(p)](K)""; ""III.1.6 Asymptotic Behavior of the Critical Diffusion Constant""; ""III.1.7 Summary""; ""III.2 The Case of Finite Correlation Length""; ""III.2.1 Existence of γ[sub(p)](Ï?)""; ""III.2.2 Estimation of γ[sub(p)](Ï?)/P""; ""III.2.3 Continuity Results""
- III.2.4 Lyapunov Exponents as Functions of KIII.2.5 Another Explicitly Solvable Model
- IV: ALMOST SURE LYAPUNOV EXPONENTS
- IV.1 Existence
- IV.2 Proof of the Lower Bound
- IV.3 Proof of the Upper Bound
- V: CONCLUDING REMARKS