This book is composed of two texts, by R.L. Dobrushin and S.Kusuoka, each representing the content of a course oflectures given by the authors. They are pitched at graduatestudent level and are thus very accessible introductions totheir respective subjects for students and non specialists.CONTENTS: R.L. Dobrushin: On the Way to the MathematicalFoundations of Statistical Mechanics.- S. Kusuoka: DiffusionProcesses on Nested Fractals.

A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. This series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research.

A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their...

A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their...