This volume presents 20 original refereed papers on different aspects of modern analysis, including analytic and computational number theory, symbolic and numerical computation, theoretical and computational optimization, and recent development in nonsmooth and functional analysis with applications to control theory. The topics represent areas in which Jonathan Borwein has worked, in whose honour the conference was organized. In addition to providing a snapshot of research in the field of modern analysis, the papers suggest some of the directions this research is following at the beginning of...

This volume presents the proceedings of a conference on Harmonic Analysis and Number Theory held at McGill University (Montreal) in April 1996. The papers are dedicated to the memory of Carl Herz, who had deep interests in both harmonic analysis and number theory. These two disciplines have a symbiotic relationship that is reflected in the papers in this book.

This volume and Stochastic Processes, Physics and Geometry: New Interplays I present research unfolding at the interface between mathematics and physics. Included are select articles from the international conference held in Leipzig (Germany) in honour of Sergio Albeverio's 60th birthday. The theme of the conference, Infinite Dimensional (Stochastic) Analysis and Quantum Physics, was chosen to reflect Albeverio's wide-ranging scientific interests. The articles in these books reflect that broad range of interests and provide a detailed overview highlighting the deep interplay among stochastic...

This volume presents research unfolding at the interface between mathematics and physics. Included are select articles from the international conference held in Leipzig (Germany) in honour of Sergio Albeverio's 60th birthday. The theme of the conference, Infinite Dimensional (Stochastic) Analysis and Quantum Physics, was chosen to reflect Albeverio's wide-ranging scientific interests. The articles reflect that broad range of interests and provide a detailed overview highlighting the deep interplay among stochastic processes, mathematical physics, and geometry. The contributions are written by...

These are the refereed proceedings of the International Conference on Stochastic Models held in Ottawa in honour of Professor Donald A. Dawson. Contributions to the volume were written by students and colleagues of Professor Dawson. A main theme of the book is the development and study of the Dawson-Watanabe superprocess, a fundamental building block in modelling interaction particle systems undergoing reproduction and movement. The volume also contains a review article by Professor Dawson and a complete list of his work.

Control theory, a synthesis of geometric theory of differential equations enriched with variational principles and the associated symplectic geometry, emerges as a new mathematical subject of interest to engineers, mathematicians, and physicists. This collection of articles focuses on several distinctive research directions having origins in mechanics and differential geometry, but driven by modern control theory. The first of these directions deals with the singularities of small balls for problems of sub-Riemannian geometry and provides a generic classification of singularities for...