American Mathematical Society TranslationsSeries 2 Advances in the Mathematical Sciences 1999; 178 pp; hardcover Volume: 197 ISBN10: 082182094X ISBN13: 9780821820940 List Price: US$103 Member Price: US$82.40 Order Code: TRANS2/197
 This volume offers an account of the present state of the art in pseudoperiodic topologya young branch of mathematics, born at the boundary between the ergodic theory of dynamical systems, topology, and number theory. Related topics include the theory of algorithms, convex integer polyhedra, Morse inequalities, real algebraic geometry, statistical physics, and algebraic number theory. The book contains many new results. Most of the articles contain brief surveys on the topics, making the volume accessible to a broad audience. From the Preface by V.I. Arnold: "The authors ... have done much to show how modern mathematics begets, from this sea of pathological counterexamples, remarkable general and universal laws, whose discovery would be unthinkable and whose formulation would be impossible in the naive settheoretical setting." Readership Graduate students and research mathematicians interested in geometry and topology, specifically differential topology. Table of Contents  S. M. GuseinZade  On the topology of quasiperiodic functions
 M. L. Kontsevich and Yu. M. Suhov  Statistics of Klein polyhedra and multidimensional continued fractions
 A. Pajitnov  \(C^0\)generic properties of boundary operators in the Novikov complex
 D. A. Panov  Pseudoperiodic mappings
 A. Zorich  How do the leaves of a closed 1form wind around a surface?
