Book Description
Guides the reader through the nonlinear Perron-Frobenius theory, introducing them to recent developments and challenging open problems.
Author : Bas Lemmens
Publisher : Cambridge University Press
Page : 337 pages
File Size : 23,13 MB
Release : 2012-05-03
Category : Mathematics
ISBN : 0521898811
Guides the reader through the nonlinear Perron-Frobenius theory, introducing them to recent developments and challenging open problems.
Author : Bas Lemmens
Publisher :
Page : 323 pages
File Size : 16,37 MB
Release : 2012
Category : Algebras, Linear
ISBN : 9781107226340
In the past several decades the classical Perron-Frobenius theory for nonnegative matrices has been extended to obtain remarkably precise and beautiful results for classes of nonlinear maps. This nonlinear Perron-Frobenius theory has found significant uses in computer science, mathematical biology, game theory and the study of dynamical systems. This is the first comprehensive and unified introduction to nonlinear Perron-Frobenius theory suitable for graduate students and researchers entering the field for the first time. It acquaints the reader with recent developments and provides a guide to challenging open problems. To enhance accessibility, the focus is on finite dimensional nonlinear Perron-Frobenius theory, but pointers are provided to infinite dimensional results. Prerequisites are little more than basic real analysis and topology.
Author : Ulrich Krause
Publisher : Walter de Gruyter GmbH & Co KG
Page : 429 pages
File Size : 43,90 MB
Release : 2015-11-27
Category : Mathematics
ISBN : 3110391341
This book provides a systematic, rigorous and self-contained treatment of positive dynamical systems. A dynamical system is positive when all relevant variables of a system are nonnegative in a natural way. This is in biology, demography or economics, where the levels of populations or prices of goods are positive. The principle also finds application in electrical engineering, physics and computer sciences. "The author has greatly expanded the field of positive systems in surprising ways." - Prof. Dr. David G. Luenberger, Stanford University(USA)
Author : Ulrich Krause
Publisher : Walter de Gruyter GmbH & Co KG
Page : 366 pages
File Size : 11,13 MB
Release : 2015-03-10
Category : Mathematics
ISBN : 3110365693
This book provides a systematic, rigorous and self-contained treatment of positive dynamical systems. A dynamical system is positive when all relevant variables of a system are nonnegative in a natural way. This is in biology, demography or economics, where the levels of populations or prices of goods are positive. The principle also finds application in electrical engineering, physics and computer sciences. "The author has greatly expanded the field of positive systems in surprising ways." - Prof. Dr. David G. Luenberger, Stanford University(USA)
Author : Yury Kochetov
Publisher : Springer Nature
Page : 358 pages
File Size : 13,96 MB
Release : 2022-09-29
Category : Mathematics
ISBN : 3031162242
This book constitutes refereed proceedings of the 21st International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2022, held in Petrozavodsk, Russia, in July 2022. The 21 full papers and 3 short papers presented in this volume were carefully reviewed and selected from a total of 88 submissions. The papers in the volume are organised according to the following topical headings: invited talks; integer programming and combinatorial optimization; mathematical programming; game theory and optimal control; operational research applications.
Author : A. Neumaier
Publisher : Cambridge University Press
Page : 275 pages
File Size : 43,43 MB
Release : 1990
Category : Mathematics
ISBN : 052133196X
Mathematics of Computing -- Numerical Analysis.
Author : Benjamin Dodson
Publisher : Cambridge University Press
Page : 255 pages
File Size : 20,48 MB
Release : 2019-03-28
Category : Mathematics
ISBN : 1108472087
Explores Schrödinger equations with power-type nonlinearity, with scattering results for mass- and energy-critical Schrödinger equations.
Author : Viviane Baladi
Publisher : World Scientific
Page : 332 pages
File Size : 39,62 MB
Release : 2000
Category : Science
ISBN : 9789810233280
Although individual orbits of chaotic dynamical systems are by definition unpredictable, the average behavior of typical trajectories can often be given a precise statistical description. Indeed, there often exist ergodic invariant measures with special additional features. For a given invariant measure, and a class of observables, the correlation functions tell whether (and how fast) the system ?mixes?, i.e. ?forgets? its initial conditions.This book, addressed to mathematicians and mathematical (or mathematically inclined) physicists, shows how the powerful technology of transfer operators, imported from statistical physics, has been used recently to construct relevant invariant measures, and to study the speed of decay of their correlation functions, for many chaotic systems. Links with dynamical zeta functions are explained.The book is intended for graduate students or researchers entering the field, and the technical prerequisites have been kept to a minimum.
Author : V. Lakshmikantham
Publisher : Walter de Gruyter
Page : 4040 pages
File Size : 31,28 MB
Release : 2011-11-14
Category : Mathematics
ISBN : 3110883236
Author : Soumya Sen
Publisher : John Wiley & Sons
Page : 533 pages
File Size : 17,32 MB
Release : 2014-08-21
Category : Technology & Engineering
ISBN : 1118899334
A comprehensive text addressing the high demand for network, cloud, and content services through cutting-edge research on data pricing and business strategies Smart Data Pricing tackles the timely issue of surging demand for network, cloud, and content services and corresponding innovations in pricing these services to benefit consumers, operators, and content providers. The pricing of data traffic and other services is central to the core challenges of network monetization, growth sustainability, and bridging the digital divide. In this book, experts from both academia and industry discuss all aspects of smart data pricing research and development, including economic analyses, system development, user behavior evaluation, and business strategies. Smart Data Pricing: • Presents the analysis of leading researchers from industry and academia surrounding the pricing of network services and content. • Discusses current trends in mobile and wired data usage and their economic implications for content providers, network operators, end users, government regulators, and other players in the Internet ecosystem. • Includes new concepts and background technical knowledge that will help researchers and managers effectively monetize their networks and improve user quality-of-experience. • Provides cutting-edge research on business strategies and initiatives through a diverse collection of perspectives. • Combines academic and industry expertise from multiple disciplines and business organizations. The ideas and background of the technologies and economic principles discussed within these chapters are of real value to practitioners, researchers, and managers in identifying trends and deploying new pricing and network management technologies, and will help support managers in identifying new business directions and innovating solutions to challenging business problems.