TY - BOOK ID - 7617361 TI - Linearization Models for Complex Dynamical Systems : Topics in Univalent Functions, Functional Equations and Semigroup Theory AU - Elin, Mark. AU - Shoikhet, David. PY - 2010 SN - 3034605080 9786613076236 3034605099 1283076233 PB - Basel : Birkhäuser Basel : Imprint: Birkhäuser, DB - UniCat KW - Dynamics -- Statistical methods. KW - Linear models (Statistics). KW - Statistics. KW - Mathematics KW - Physical Sciences & Mathematics KW - Geometry KW - Calculus KW - Differentiable dynamical systems. KW - Linear models (Statistics) KW - Univalent functions. KW - Functional equations. KW - Semigroups. KW - Equations, Functional KW - Functions, Schlicht KW - Functions, Simple KW - Functions, Univalent KW - Schlicht functions KW - Simple functions KW - Models, Linear (Statistics) KW - Differential dynamical systems KW - Dynamical systems, Differentiable KW - Dynamics, Differentiable KW - Mathematics. KW - Difference equations. KW - Dynamics. KW - Ergodic theory. KW - Functions of complex variables. KW - System theory. KW - Dynamical Systems and Ergodic Theory. KW - Functions of a Complex Variable. KW - Systems Theory, Control. KW - Difference and Functional Equations. KW - Functional analysis KW - Group theory KW - Functions of complex variables KW - Geometric function theory KW - Mathematical models KW - Mathematical statistics KW - Statistics KW - Differential equations KW - Global analysis (Mathematics) KW - Topological dynamics KW - Systems theory. KW - Complex variables KW - Elliptic functions KW - Functions of real variables KW - Calculus of differences KW - Differences, Calculus of KW - Equations, Difference KW - Systems, Theory of KW - Systems science KW - Science KW - Ergodic transformations KW - Continuous groups KW - Mathematical physics KW - Measure theory KW - Transformations (Mathematics) KW - Dynamical systems KW - Kinetics KW - Mechanics, Analytic KW - Force and energy KW - Mechanics KW - Physics KW - Statics KW - Philosophy UR - https://www.unicat.be/uniCat?func=search&query=sysid:7617361 AB - This book provides valuable insights into complex analysis, dynamical systems, geometric function theory and operator theory. Intended for a broad spectrum of readers, ranging from undergraduate and graduate mathematics students to active researchers, it offers extensive coverage of recent advances in geometric function theory, including the theory of starlike and spirallike functions with respect to a boundary point. Of particular interest is its treatment of continuous time semigroups, about which little has been previously known, emphasizing the use of generation theory for continuous dynamical systems. Such semigroups have important applications in such areas as composition operators, Markov stochastic processes, control theory and optimization. Readers will find in this book a systematic and detailed survey of linearization models for one-parameter continuous semigroups, functional equations, and the different classes of univalent functions which serve as intertwining mappings for these semigroups, along with their applications to various problems of complex dynamics. ER -