From Stochastic Calculus to Mathematical Finance The Shiryaev Festschrift [Paperback]

Dedicated to the Russian mathematician Albert Shiryaev on his 70th birthday, this is a collection of papers written by his former students, co-authors and colleagues. The book represents the modern state of art of a quickly maturing theory and will be an essential source and reading for researchers in this area. Diversity of topics and comprehensive style of the papers make the book attractive for PhD students and young researchers.

Dedicated to the eminent Russian mathematician Albert Shiryaev on the occasion of his 70th birthday, the Festschrift is a collection of papers, including several surveys, written by his former students, co-authors and colleagues. These reflect the wide range of scientific interests of the teacher and his Moscow school. The topics range from the disorder problems to stochastic calculus and their applications to mathematical economics and finance. A full biobibliography of Shiryaevs works is included.

The book represents the modern state of art of many aspects of a quickly maturing theory and will be an essential source and reading for researchers in this area. The diversity of the topics and the comprehensive style of the papers make the book amenable and attractive for PhD students and young researchers.

On Numerical Approximation of Stochastic Burgers' Equation.- Optimal Time to Invest under Tax Exemptions.- A Central Limit Theorem for Realised Power and Bipower Variations of Continuous Semimartingales.- Interplay between Distributional and Temporal Dependence. An Empirical Study with High-frequency Asset Returns.- Asymptotic Methods for Stability Analysis of Markov Dynamical Systems with Fast Variables.- Some Particular Problems of Martingale Theory.- On the Absolute Continuity and Singularity of Measures on Filtered Spaces: Separating Times.- Optimal Hedging with Basis Risk.- Moderate Deviation Principle for Ergodic Markov Chain. Lipschitz Summands.- Remarks on Risk Neutrl“›