The Dynkin Festschrift: Markov Processes and Their Applications

By E.B. Dynkin

Book Overview

Process Level Large Deviations for a Class of Piecewise Homogeneous Random Walks.- Mutual Singularity of Genealogical Structures of Fleming-Viot and Continuous Branching Processes.- Regular Conditional Expectations and the Continuum Hypothesis.- Necessary and Sufficient Conditions for Weak Convergence of One-Dimensional Markov Processes.- Inverse Subordination of Excessive Functions.- Jumping Branching Measure-Valued Processes.- The Boundedness of Branching Markov Processes.- A Limit Theorem for Weighted Branching Process Trees.- Loop Condensation Effects in the Behavior of Random Walks.- On the Stability of Solutions of Stochastic Evolution Equations.- Harmonic Functions on Riemannian Manifolds: A Probabilistic Approach.- On a Problem Suggested by A.D. Wentzell.- Regularity Properties of a Supercritical Superprocess.- A Lemma on Super-Brownian Motion with Some Applications.- Sequential Screening of Significant Variables of an Additive Model.- Brownian Bandits.- Lyapunov Exponents and Distributions of Magnetic Fields in Dynamo Models.- The Strong Markov Property of the Support of Super-Brownian Motion.- Some Results on Random Walks on Groups.- Diffusions as Integral Curves, or Stratonovich without It?.- Convex Solutions to Variational Inequalities and Multidimensional Singular Control.- Regularity of Self-Diffusion Coefficient.- Representation Results for Stopping Times in Jump-with-Drift Processes.

• Format: Hardcover
• Language: English
• ISBN: 081763696X
• ISBN13: 9780817636968
• Release Date: January 1995
• Publisher: Birkhauser
• Length: 452 Pages
• Weight: 1.78 lbs.
• Dimensions: 1.0" x 6.1" x 9.2"