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Author : Roger D. Nussbaum
Publisher : American Mathematical Soc.
Page : 126 pages
File Size : 44,6 Mb
Release : 1989
Category : Mappings
ISBN : 9780821824658
Author : Roger D. Nussbaum
Publisher : American Mathematical Soc.
Page : 137 pages
File Size : 50,8 Mb
Release : 1988
Category : Mathematics
ISBN : 9780821824542
Author : Anonim
Publisher : Unknown
Page : 118 pages
File Size : 46,9 Mb
Release : 1989
Category : Electronic
ISBN : OCLC:859817318
Author : Roger D. Nussbaum
Publisher : American Mathematical Soc.
Page : 128 pages
File Size : 54,5 Mb
Release : 1989-12-31
Category : Mathematics
ISBN : 0821861255
Author : Roger D. Nussbaum
Publisher : Unknown
Page : 148 pages
File Size : 52,8 Mb
Release : 1988
Category : Mappings
ISBN : 1470408112
Author : Ulrich Krause
Publisher : Walter de Gruyter GmbH & Co KG
Page : 363 pages
File Size : 49,8 Mb
Release : 2015-03-10
Category : Mathematics
ISBN : 9783110365696
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 : Viviane Baladi
Publisher : World Scientific
Page : 332 pages
File Size : 54,6 Mb
Release : 2000
Category : Science
ISBN : 9810233280
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 : Shui-Nee Chow,Jack K. Hale
Publisher : Springer Science & Business Media
Page : 509 pages
File Size : 41,8 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783642864582
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.
Author : Bas Lemmens,Roger Nussbaum
Publisher : Cambridge University Press
Page : 337 pages
File Size : 49,7 Mb
Release : 2012-05-03
Category : Mathematics
ISBN : 9780521898812
Guides the reader through the nonlinear Perron-Frobenius theory, introducing them to recent developments and challenging open problems.
Author : Steven Zelditch
Publisher : American Mathematical Soc.
Page : 113 pages
File Size : 53,6 Mb
Release : 1992
Category : Curves on surfaces
ISBN : 9780821825266
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.
Author : Shari A. Prevost
Publisher : American Mathematical Soc.
Page : 97 pages
File Size : 53,5 Mb
Release : 1992
Category : Mathematics
ISBN : 9780821825273
We present a new proof of the identities needed to exhibit an explicit [bold]Z-basis for the universal enveloping algebra associated to an affine Lie algebra. We then use the explicit [bold]Z-bases to extend Borcherds' description, via vertex operator representations, of a [bold]Z-form of the enveloping algebras for the simply-laced affine Lie algebras to the enveloping algebras associated to the unequal root length affine Lie algebras.
Author : Bruce Arie Reznick
Publisher : American Mathematical Soc.
Page : 155 pages
File Size : 49,5 Mb
Release : 1992
Category : Mathematics
ISBN : 9780821825235
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.
Author : John D. Fay
Publisher : American Mathematical Soc.
Page : 123 pages
File Size : 42,7 Mb
Release : 1992
Category : Mathematics
ISBN : 9780821825501
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.
Author : Hal Caswell
Publisher : Springer
Page : 308 pages
File Size : 46,7 Mb
Release : 2019-04-02
Category : Social Science
ISBN : 9783030105341
This open access book shows how to use sensitivity analysis in demography. It presents new methods for individuals, cohorts, and populations, with applications to humans, other animals, and plants. The analyses are based on matrix formulations of age-classified, stage-classified, and multistate population models. Methods are presented for linear and nonlinear, deterministic and stochastic, and time-invariant and time-varying cases. Readers will discover results on the sensitivity of statistics of longevity, life disparity, occupancy times, the net reproductive rate, and statistics of Markov chain models in demography. They will also see applications of sensitivity analysis to population growth rates, stable population structures, reproductive value, equilibria under immigration and nonlinearity, and population cycles. Individual stochasticity is a theme throughout, with a focus that goes beyond expected values to include variances in demographic outcomes. The calculations are easily and accurately implemented in matrix-oriented programming languages such as Matlab or R. Sensitivity analysis will help readers create models to predict the effect of future changes, to evaluate policy effects, and to identify possible evolutionary responses to the environment. Complete with many examples of the application, the book will be of interest to researchers and graduate students in human demography and population biology. The material will also appeal to those in mathematical biology and applied mathematics.
Author : Themistocles M. Rassias,László Tóth
Publisher : Springer
Page : 814 pages
File Size : 47,5 Mb
Release : 2014-10-13
Category : Mathematics
ISBN : 9783319065540
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.
