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Levy Matters VI

- Levy-Type Processes: Moments, Construction and Heat Kernel Estimates
Af: Franziska Kuhn Engelsk Paperback

Levy Matters VI

- Levy-Type Processes: Moments, Construction and Heat Kernel Estimates
Af: Franziska Kuhn Engelsk Paperback
Tjek vores konkurrenters priser
Presenting some recent results on the construction and the moments of Lévy-type processes, the focus of this volume is on a new existence theorem, which is proved using a parametrix construction. Applications range from heat kernel estimates for a class of Lévy-type processes to existence and uniqueness theorems for Lévy-driven stochastic differential equations with Hölder continuous coefficients. Moreover, necessary and sufficient conditions for the existence of moments of Lévy-type processes are studied and some estimates on moments are derived. Lévy-type processes behave locally like Lévy processes but, in contrast to Lévy processes, they are not homogeneous in space. Typical examples are processes with varying index of stability and solutions of Lévy-driven stochastic differential equations.

This is the sixth volume in a subseries of the Lecture Notes in Mathematics called Lévy Matters. Each volume describes a number of important topics in the theory or applications of Lévy processes and pays tribute to the state of the art of this rapidly evolving subject, with special emphasis on the non-Brownian world.
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Presenting some recent results on the construction and the moments of Lévy-type processes, the focus of this volume is on a new existence theorem, which is proved using a parametrix construction. Applications range from heat kernel estimates for a class of Lévy-type processes to existence and uniqueness theorems for Lévy-driven stochastic differential equations with Hölder continuous coefficients. Moreover, necessary and sufficient conditions for the existence of moments of Lévy-type processes are studied and some estimates on moments are derived. Lévy-type processes behave locally like Lévy processes but, in contrast to Lévy processes, they are not homogeneous in space. Typical examples are processes with varying index of stability and solutions of Lévy-driven stochastic differential equations.

This is the sixth volume in a subseries of the Lecture Notes in Mathematics called Lévy Matters. Each volume describes a number of important topics in the theory or applications of Lévy processes and pays tribute to the state of the art of this rapidly evolving subject, with special emphasis on the non-Brownian world.
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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 245
ISBN-13: 9783319608877
Indbinding: Paperback
Udgave:
ISBN-10: 3319608878
Kategori: Differentialregning & ligninger
Udg. Dato: 14 okt 2017
Længde: 20mm
Bredde: 233mm
Højde: 158mm
Forlag: Springer International Publishing AG
Oplagsdato: 14 okt 2017
Forfatter(e): Franziska Kuhn
Forfatter(e) Franziska Kuhn

Kategori Differentialregning & ligninger

ISBN-13 9783319608877

Sprog Engelsk

Indbinding Paperback

Sider 245

Udgave

Længde 20mm

Bredde 233mm

Højde 158mm

Udg. Dato 14 okt 2017

Oplagsdato 14 okt 2017

Forlag Springer International Publishing AG

Kategori sammenhænge