Record Nr.

UNISA996198379003316

Titolo

CeGE-Discussion Paper

Pubbl/distr/stampa


Center for European, Governance and Economic Development

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Periodico

Record Nr.

UNINA9910788753703321

Autore

Carmona R (René)

Titolo

Parabolic Anderson problem and intermittency / / René A. Carmona, S. A. Molchanov

Pubbl/distr/stampa


Providence, Rhode Island : , : American Mathematical Society, , 1994
©1994

ISBN

1-4704-0095-2

Descrizione fisica

1 online resource (138 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Number 518

Disciplina

519.2

Soggetti

Stochastic partial differential equations

Random operators

Gaussian processes

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"March 1994, Volume 108, Number 518 (third of 5 numbers)."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""CONTENTS""; ""I: INTRODUCTION""; ""II: EXISTENCE AND UNIQUENESS PROBLEMS""; ""II.1 The Deterministic Problem""; ""II.1.1 The Feynmanâ€?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 Feynmanâ€?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 Î³[sub(p)](K)""; ""III.1.5 Large K Behavior of Î³[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 Î³[sub(p)](Ï?)""; ""III.2.2 Estimation of Î³[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 EXPONENTS""; ""IV.1 Existence""; ""IV.2 Proof of the Lower Bound""; ""IV.3 Proof of the Upper Bound""; ""V: CONCLUDING REMARKS""