Pseudoperiodic Topology

Moscow mathematicians offer researchers and graduate students working in dynamical systems, topology, and number theory an account of the current status of a young branch of mathematics, born at the boundary between those three disciplines. The theory is related to the theory of algorithms, convex integer polyhedra, Morse inequalities, real algebraic geometry, statistical physics, and algebraic number theory. They discuss the topology of quasiperiodic functions, statistics of Klein polyhedra and multidimensional continued fractions, pseudoperiodic mappings, how leaves of a closed one-form wind around a surface, and other topics. They do not provide an index. Annotation c. Book News, Inc., Portland, OR (booknews.com)