Pseudoperiodic Topology
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Pseudoperiodic Topology
Author: Maxim Kontsevich
language: en
Publisher: American Mathematical Soc.
Release Date: 1999
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 copyrighted by Book News, Inc., Portland, OR
Advanced Mathematical Methods in Biosciences and Applications
Author: Faina Berezovskaya
language: en
Publisher: Springer Nature
Release Date: 2019-09-19
Featuring contributions from experts in mathematical biology and biomedical research, this edited volume covers a diverse set of topics on mathematical methods and applications in the biosciences. Topics focus on advanced mathematical methods, with chapters on the mathematical analysis of the quasispecies model, Arnold’s weak resonance equation, bifurcation analysis, and the Tonnelier-Gerstner model. Special emphasis is placed on applications such as natural selection, population heterogeneity, polyvariant ontogeny in plants, cancer dynamics, and analytical solutions for traveling pulses and wave trains in neural models. A survey on quasiperiodic topology is also presented in this book. Carefully peer-reviewed, this volume is suitable for students interested in interdisciplinary research. Researchers in applied mathematics and the biosciences will find this book an important resource on the latest developments in the field. In keeping with the STEAM-H series, the editors hope to inspire interdisciplinary understanding and collaboration.
L. D. Faddeev's Seminar on Mathematical Physics
Author: Michael Semenov-Tian-Shansky
language: en
Publisher: American Mathematical Soc.
Release Date: 2000
A collection of articles written by researchers affiliated with L. D. Faddeev's seminar at the Leningrad Department of the Steklov Mathematical Institute. Two papers deal with subjects arising from quantum field theory, and another group of papers examine various aspects of the classical inverse scattering method and its generalizations. A third group of papers deals with various aspects of the quantum inverse scattering method and quantum groups. A final paper reports on a new advance in deformation quantization and presents an explicit formula for the (formal) deformation quantization on arbitrary Kahler manifolds. Annotation copyrighted by Book News, Inc., Portland, OR