Iterated Nonlinear Maps And Hilbert S Projective Metric Part Ii

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Hilbert's Projective Metric and Iterated Nonlinear Maps

Author : Roger D. Nussbaum
Publisher : American Mathematical Soc.
Page : 137 pages
File Size : 42,5 Mb
Release : 1988
Category : Mathematics
ISBN : 9780821824542

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Hilbert's Projective Metric and Iterated Nonlinear Maps by Roger D. Nussbaum Pdf

Dynamics of Infinite Dimensional Systems

Author : Shui-Nee Chow,Jack K. Hale
Publisher : Springer Science & Business Media
Page : 509 pages
File Size : 43,7 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783642864582

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Dynamics of Infinite Dimensional Systems by Shui-Nee Chow,Jack K. Hale Pdf

The 1986 NATO Advanced Study Insti tute on Dynamics of Infini te Dimensional Systems was held at the Instituto Superior Tecnico. Lisbon. Portugal. In recent years. there have been several research workers who have been considering partial differential equations and functional differential equations as dynamical systems on function spaces. Such approaches have led to the formulation of more theoretical problems that need to be investigated. In the applications. the theoretical ideas have contributed significantly to a better understanding of phenomena that have been experimentally and computationally observed. The investigators of this development come wi th several different backgrounds - some from classical partial differential equations. some from classical ordinary differential equations and some interested in specific applications. Each group has special ideas and often these ideas have not been transmitted from one group to another. The purpose of this NATO Workshop was to bring together research workers from these various areas. It provided asoundboard for the impact of the ideas of each respective discipline. We believe that goal was accomplished. but time will be a better judge. We have included the list of participants at the workshop. with most of these giving a presentation. Although the proceedings do not include all of the presentations. it is a good representative sampie. We wish to express our gratitude to NATO. and.to Dr. M. di Lullo of NATO. who unfortunately did not live to see the completion of this project.

Positive Dynamical Systems in Discrete Time

Author : Ulrich Krause
Publisher : Walter de Gruyter GmbH & Co KG
Page : 363 pages
File Size : 54,7 Mb
Release : 2015-03-10
Category : Mathematics
ISBN : 9783110365696

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Positive Dynamical Systems in Discrete Time by Ulrich Krause Pdf

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)

Positive Transfer Operators and Decay of Correlations

Author : Viviane Baladi
Publisher : World Scientific
Page : 332 pages
File Size : 50,5 Mb
Release : 2000
Category : Science
ISBN : 9810233280

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Positive Transfer Operators and Decay of Correlations by Viviane Baladi Pdf

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.

Nonlinear Perron-Frobenius Theory

Author : Bas Lemmens,Roger Nussbaum
Publisher : Cambridge University Press
Page : 337 pages
File Size : 45,6 Mb
Release : 2012-05-03
Category : Mathematics
ISBN : 9780521898812

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Nonlinear Perron-Frobenius Theory by Bas Lemmens,Roger Nussbaum Pdf

Guides the reader through the nonlinear Perron-Frobenius theory, introducing them to recent developments and challenging open problems.

Selberg Trace Formulae and Equidistribution Theorems for Closed Geodesics and Laplace

Author : Steven Zelditch
Publisher : American Mathematical Soc.
Page : 113 pages
File Size : 44,5 Mb
Release : 1992
Category : Curves on surfaces
ISBN : 9780821825266

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Selberg Trace Formulae and Equidistribution Theorems for Closed Geodesics and Laplace by Steven Zelditch Pdf

This work is concerned with a pair of dual asymptotics problems on a finite-area hyperbolic surface. The first problem is to determine the distribution of closed geodesics in the unit tangent bundle. The second problem is to determine the distribution of eigenfunctions (in microlocal sense) in the unit tangent bundle.

Topics in Mathematical Analysis and Applications

Author : Themistocles M. Rassias,László Tóth
Publisher : Springer
Page : 814 pages
File Size : 48,5 Mb
Release : 2014-10-13
Category : Mathematics
ISBN : 9783319065540

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Topics in Mathematical Analysis and Applications by Themistocles M. Rassias,László Tóth Pdf

This volume presents significant advances in a number of theories and problems of Mathematical Analysis and its applications in disciplines such as Analytic Inequalities, Operator Theory, Functional Analysis, Approximation Theory, Functional Equations, Differential Equations, Wavelets, Discrete Mathematics and Mechanics. The contributions focus on recent developments and are written by eminent scientists from the international mathematical community. Special emphasis is given to new results that have been obtained in the above mentioned disciplines in which Nonlinear Analysis plays a central role. Some review papers published in this volume will be particularly useful for a broader readership in Mathematical Analysis, as well as for graduate students. An attempt is given to present all subjects in this volume in a unified and self-contained manner, to be particularly useful to the mathematical community.

Formal Modeling and Analysis of Timed Systems

Author : Frits W. Vaandrager
Publisher : Springer Science & Business Media
Page : 301 pages
File Size : 51,8 Mb
Release : 2009-09-07
Category : Computers
ISBN : 9783642043673

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Formal Modeling and Analysis of Timed Systems by Frits W. Vaandrager Pdf

This book constitutes the refereed proceedings of the 7th International Conference on Formal Modeling and Analysis of Timed Systems, FORMATS 2009, held in Budapest, Hungary, September 2009. The 18 revised full papers presented together with 4 invited talks were carefully reviewed and selected from 40 submissions. The aim of FORMATS is to promote the study of fundamental and practical aspects of timed systems, and to bring together researchers from different disciplines that share interests in the modelling and analysis of timed systems.Typical topics include (but are not limited to): – Foundations and Semantics. Theoretical foundations of timed systems and languages; comparison between different models (timed automata, timed Petri nets, hybrid automata, timed process algebra, max-plus algebra, probabilistic models). – Methods and Tools. Techniques, algorithms, data structures, and software tools for analyzing timed systems and resolving temporal constraints (scheduling, worst-case execution time analysis, optimization, model checking, testing, constraint solving, etc.). – Applications. Adaptation and specialization of timing technology in application domains in which timing plays an important role (real-time software, hardware circuits, and problems of scheduling in manufacturing and telecommunication).

Sum of Even Powers of Real Linear Forms

Author : Bruce Arie Reznick
Publisher : American Mathematical Soc.
Page : 155 pages
File Size : 40,5 Mb
Release : 1992
Category : Mathematics
ISBN : 9780821825235

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Sum of Even Powers of Real Linear Forms by Bruce Arie Reznick Pdf

This work initiates a systematic analysis of the representation of real forms of even degree as sums of powers of linear forms and the resulting implications in real algebraic geometry, number theory, combinatorics, functional analysis, and numerical analysis. The proofs utilize elementary techniques from linear algebra, convexity, number theory, and real algebraic geometry and many explicit examples and relevant historical remarks are presented.

Kernel Functions, Analytic Torsion, and Moduli Spaces

Author : John D. Fay
Publisher : American Mathematical Soc.
Page : 123 pages
File Size : 52,5 Mb
Release : 1992
Category : Mathematics
ISBN : 9780821825501

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Kernel Functions, Analytic Torsion, and Moduli Spaces by John D. Fay Pdf

This work investigates analytic torsion on the moduli space of degree zero stable bundles on a compact Reimann surface. Zeta-function regularization and perturbation-curvature formulas for torsion are developed using a modified resolvent-Szego kernel. The author discusses the bosonization formulas of mathematical physics. Riemann vanishing theorems for torsion, and analytic properties (insertion-residue formulas and heat equations) for the nonabelian theta function and Szego kernel. In addition, he provides background material on bundle-moduli spaces, Quillen metrics, and theta functions.

Differential and Integral Equations

Author : Anonim
Publisher : Unknown
Page : 576 pages
File Size : 41,6 Mb
Release : 1994
Category : Differential equations
ISBN : UOM:39015046559145

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Differential and Integral Equations by Anonim Pdf