Table of Contents

Preface.- I Introduction and Motivation.- II Diffusion Processes and their Transformations.- III Duality and Time Reversal of Diffusion Processes.- IV Equivalence of Diffusion and Schroedinger Equations.- V Variational Principle.- VI Diffusion Processes in q-Representation.- VII Segregation of a Population.- VIII The Schroedinger Equation can be a Boltzmann Equation.- IX Applications of the Statistical Model for Schroedinger Equations.- X Relative Entropy and Csiszar's Projection.- XI Large Deviations.- XII Non-Linearity Induced by the Branching Property.- Appendix.- References.- Index.

About the Author

Masao Nagasawa is professor of mathematics at the University of Zurich, Switzerland.