
Mathematics
Filters
-
Theme
-
Product form
-
Language
-
Price
View our offer Mathematics
-
Braids, Conformal Module, Entropy, and Gromov's Oka Principle
This book studies the relation between conformal invariants and dynamical invariants and their applications, taking the reader on an excursion through a wide range of topics. The conformal invariants, called here the conformal modules of conjugacy classes of elements of the fundamental group, were proposed by Gromov in the case of the twice punctured complex plane. They provide obstructions to Gromov's Oka Principle. The invariants of the space of monic polynomials of degree n appeared earlier in relation to Hilbert's 13th Problem, and are called the conformal modules of conjugacy classes of braids. Interestingly, the conformal module of a conjugacy class of braids is inversely proportional to a popular dynamical invariant, the entropy, which was studied in connection with Thurston's celebrated theory of surface homeomorphisms. This result, proved here for the first time, is another instance of the numerous manifestations of the unity of mathematics, and it has applications. After prerequisites on Riemann surfaces, braids, mapping classes and elements of Teichmüller theory, a detailed introduction to the entropy of braids and mapping classes is given, with thorough, sometimes new proofs. Estimates are provided of Gromov's conformal invariants of the twice punctured complex plane and it is shown that the upper and lower bounds differ by universal multiplicative constants. These imply estimates of the entropy of any pure three-braid, and yield quantitative statements on the limitations of Gromov's Oka Principle in the sense of finiteness theorems, using conformal invariants which are related to elements of the fundamental group (not merely to conjugacy classes). Further applications of the concept of conformal module are discussed. Aimed at graduate students and researchers, the book proposes several research problems.
€ 96,95 -
Two-dimensional Crossing and Product Cubic Systems, Vol. I
Self-linear and Crossing-quadratic Product Vector FieldIn such cubic systems, the appearing bifurcations are: - double-inflection saddles, - inflection-source (sink) flows, - parabola-saddles (saddle-center), - third-order parabola-saddles, - third-order saddles and centers.
€ 207,95 -
Thermal Distribution Principle and Nonlinear Optimal Control for HVAC Water System
Dr. Tianyi Zhao received his B.E., M.E. and Ph.D. degrees in Heating, Gas, Ventilation and Air-Conditioning Engineering subject from Harbin Institute of Technology, Harbin, China, in 2003, 2005 and 2009, respectively. Since Dec. 2014, Dr. Zhao has been in School of Infrastructure Engineering, Dalian University of Technology, as an associate professor. Dr. Jiaming Wang received his B.E. degree in Thermal Energy and Power Engineering from Dalian University of Technology, Dalian, China, in 2014, and the M.E. and Ph.D. degrees in Heating, Gas, Ventilation and Air-Conditioning Engineering from Dalian University of Technology, Dalian, China, in 2018 and 2022, respectively. Since Dec. 2022, Dr. Wang has been in School of Infrastructure Engineering at Dalian University of Technology, as a postdoctoral. Dr. Wang is engaged in the research of decoupling control and distributed collaborative optimization of HVAC systems, taking the complex HVAC systems as research object, mainly studying the system parameters time-delay response characteristics and the component spatial coupling characteristics. The proposed event-driven optimization strategy (SEDO) and the global energy efficiency tradeoff method have high universality and can be directly applied to the existing HVAC systems. Mrs. Yiting Wang received her B.E. degree in Built Environment and Equipment Engineering from Hunan University, Changsha, China, in 2016, and the M.E. degree in Civil Engineering from the University of Melbourne, Melbourne, Australia, in 2019. She has been involved in several projects using swarm intelligent building automation technology and has been responsible for the development of several control strategies for HVAC system. Since 2024, Dr. Wang has been in School of Infrastructure Engineering at Dalian University of Technology, as a doctoral student.
€ 180,50 -
Network Games, Artificial Intelligence, Control and Optimization
11th International Conference, NETGCOOP 2024, Lille, France, October 9–11, 2024, ProceedingsThis book constitutes the proceedings of the 11th International Conference on Network Games, Control and Optimization 2024, NETGCOOP 2024, held during October 9-11, 2024, in Lille, France. The 13 full papers and 1 short paper were carefully reviewed and selected from 21 submissions.
€ 152,50 -
Generalization Bounds
Perspectives from Information Theory and PAC-Bayes€ 108,95 -
Modeling, Prediction, Assortment and Price Optimization Under Consumer Choice Behavior
€ 108,95 -
Algebra and Its Applications
€ 213,99 -
Reliability Analysis and Maintenance Optimization of Complex Systems
Essays in Honor of Professor Won Young Yun on his 65th BirthdayThese chapters are authored by esteemed professors and researchers in the field of reliability engineering, and they are organized as follows: System Reliability Modeling (8 chapters), Optimal Maintenance Models (4 chapters), System Performance and Availability Analysis (3 chapters), and Reliability Testing and Accelerated Life Tests (2 chapters).
€ 249,50 -
Cellular Automata and Groups
This unique book provides a self-contained exposition of the theory of cellular automata on groups and explores its deep connections with recent developments in geometric and combinatorial group theory, amenability, symbolic dynamics, the algebraic theory of group rings, and other branches of mathematics and theoretical computer science.
€ 76,50 -
Optimization, Discrete Mathematics and Applications to Data Sciences
This book delves into the dynamic intersection of optimization and discrete mathematics, offering a comprehensive exploration of their applications in data sciences.
€ 152,50 -
Structure and Dynamics of Asymmetric Interactions
This book integrates the fundamentals of asymmetric multidimensional scaling, spectral graph theory, graph embedding theory, and various dynamical systems theories, that deal with the static and dynamic aspects of asymmetric phenomena. In this way, it provides a comprehensive introduction to theories and methods for analyzing phenomena observed universally in social, behavioral, economical, geographical, biological, neural, chemical reaction and other networks. The topics addressed in here include the notions of asymmetric similarity matrices, graph spectra, dimension reduction, and difference and differential equations to describe the dynamics of networks, bifurcation of vector fields, Mandelbrot sets, fractals and chaos, and Hilbert spaces. Illustrated by carefully chosen examples and supported by extensive simulation studies, the book is highly recommended to readers who seek to discover static asymmetric structures among members or nodes. It also appeals to those who want to understand the kinds of dynamics that are theoretically possible in their research domains.
€ 149,79 -
The Duffing Equation
Periodic Solutions and Chaotic DynamicsThis book discusses the generalized Duffing equation and its periodic perturbations, with special emphasis on the existence and multiplicity of periodic solutions, subharmonic solutions and different approaches to prove rigorously the presence of chaotic dynamics.
€ 207,95