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Approach your problems from the It isn't that they can't see the solution. right end and begin with the answers. It is that they can't see the problem. Then one day, perhaps you will find the final question. G. K. Chesterton. The Scandal of Father Brown 'The point of a Pin'. 'The Hermit Clad in Crane Feathers' in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the 'tree' of knowledge of mathematics and related fields does not grow only by putting forth new branches....

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.

Dealing with the subject of probability theory and statistics, this text includes coverage of: inverse problems; isoperimetry and gaussian analysis; and perturbation methods of the theory of Gibbsian fields.

This EMS volume, the first edition of which was published as Dynamical Systems II, EMS 2, familiarizes the reader with the fundamental ideas and results of modern ergodic theory and its applications to dynamical systems and statistical mechanics. The enlarged and revised second edition adds two new contributions on ergodic theory of flows on homogeneous manifolds and on methods of algebraic geometry in the theory of interval exchange transformations.

This EMS volume, the first edition of which was published as Dynamical Systems II, EMS 2, familiarizes the reader with the fundamental ideas and results of modern ergodic theory and its applications to dynamical systems and statistical mechanics. The enlarged and revised second edition adds two new contributions on ergodic theory of flows on homogeneous manifolds and on methods of algebraic geometry in the theory of interval exchange transformations.