Stochastic Analysis and Related Topics

Since the early eighties, Ali Süleyman Üstünel has been one of the main contributors to the field of Malliavin calculus. In a workshop held in Paris, June 2010 several prominent researchers gave exciting talks in honor of his 60th birthday. The present volume includes scientific contributions from this workshop.
Probability theory is first and foremost aimed at solving real-life problems containing randomness. Markov processes are one of the key tools for modeling that plays a vital part concerning such problems. Contributions on inventory control, mutation-selection in genetics and public-private partnerships illustrate several applications in this volume. Stochastic differential equations, be they partial or ordinary, also play a key role in stochastic modeling. Two of the contributions analyze examples that share a focus on probabilistic tools, namely stochastic analysis and stochastic calculus. Three other papers are devoted more to the theoretical development of these aspects. The volume addresses graduate students and researchers interested in stochastic analysis and its applications.

Provides articles by leading researchers in the field Offers a comprehensive account of stochastic analysis and related topics Intended for graduate students and researches interested in stochastic analysis and its applications? Includes supplementary material: sn.pub/extras

Klappentext

Since the early eighties, Ali Süleyman Üstünel has been one of the main contributors to the field of Malliavin calculus. In a workshop held in Paris, June 2010 several prominent researchers gave exciting talks in honor of his 60th birthday. The present volume includes scientific contributions from this workshop.
Probability theory is first and foremost aimed at solving real-life problems containing randomness. Markov processes are one of the key tools for modeling that plays a vital part concerning such problems. Contributions on inventory control, mutation-selection in genetics and public-private partnerships illustrate several applications in this volume. Stochastic differential equations, be they partial or ordinary, also play a key role in stochastic modeling. Two of the contributions analyze examples that share a focus on probabilistic tools, namely stochastic analysis and stochastic calculus. Three other papers are devoted more to the theoretical development of these aspects. The volume addresses graduate students and researchers interested in stochastic analysis and its applications.

Inhalt
1.Boubacar Bah, Etienne Pardoux and Ahmadou Bamba Sow: A lookdown model with selection.- 2.Alain Bensoussan: Control of Inventories with Markov Demand.- 3.Zdzisaw Brzezniak and Annie Millet: On the splitting method for some complex-valued quasilinear evolution equations.- 4. Caroline Hillairet and Monique Pontier: A Modelisation of Public Private Parternships with failure time.- 5.Joseph Najnudel, Daniel Stroock and Marc Yor: On a flow of transformations of a Wiener space.- 6.Nicolas Privault: Measure invariance on the Lie-Wiener path space.- 7.Denis Talay: Derivatives of Solutions of Semilinear Parabolic PDEs and Variational Inequalities with Neumann Boundary Conditions.- 8.Samy Tindel and Iván Torrecilla: Some differential systems driven by a fBm with Hurst parameter greater than ¼.- 9.Ali Suleyman Üstünel: Transportation cost inequalities for diffusions under uniform distance.- Glossary.