A monograph devoted to the study of the dynamics of expanding Thurston maps under iteration. A Thurston map is a branched covering map on a two-dimensional topological sphere such that each critical point of the map has a finite orbit under iteration.
Based on lectures from a program on integrable systems and differential geometry held at Taiwan's National Center for Theoretical Sciences, this book provides an... Læs mere
Includes chapters that cover the basics about subnormal operator theory and present a study of analytic functions on the unit disk. This book includes such topics as:... Læs mere
This work provides a view of the development of algebraic geometry and to lay emphasis on emerging new directions. The focus of the papers is on expository surveys of important areas rather than on technical presentations of new results.
Presents a survey of the structure and representation theory of semi groups. This book describes the theories of minimal ideals in a semi group, inverse semi groups, simple semi groups, congruences on a semi group, and the embedding of a semigroup in a group.
One of the main results of the book states that every graded algebra satisfying suitable conditions may be reconstructed from a partial dynamical... Læs mere
Examines the results on large deviations for a class of stochastic processes. Part 1 gives necessary and sufficient conditions for exponential tightness that... Læs mere
Develops a theory of free noncommutative functions, in both algebraic and analytic settings. Such functions are defined as mappings from square... Læs mere
Challenge: Can you find all the integers $a$, $b$, $c$ satisfying $2a^{2} + 3b^{2} = 5c^{2}$? Looks simple, and there are in fact a... Læs mere