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Record Nr. |
UNINA9910480611203321 |
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Autore |
Carmona R (René) |
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Titolo |
Parabolic Anderson problem and intermittency / / René A. Carmona, S. A. Molchanov |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 1994 |
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©1994 |
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ISBN |
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Descrizione fisica |
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1 online resource (138 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Number 518 |
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Disciplina |
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Soggetti |
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Stochastic partial differential equations |
Random operators |
Gaussian processes |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"March 1994, Volume 108, Number 518 (third of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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 K""""III.2.5 Another Explicitly Solvable Model""; ""IV: ALMOST SURE LYAPUNOV |
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