Generalizations Of The Perron Frobenius Theorem For Nonlinear Maps


Generalizations Of The Perron Frobenius Theorem For Nonlinear Maps
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Generalizations Of The Perron Frobenius Theorem For Nonlinear Maps


Generalizations Of The Perron Frobenius Theorem For Nonlinear Maps
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Author : Roger D. Nussbaum
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

Generalizations Of The Perron Frobenius Theorem For Nonlinear Maps written by Roger D. Nussbaum and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mappings categories.


The classical Frobenius-Perron Theorem establishes the existence of periodic points of certain linear maps in ${\mathbb R} DEGREESn$. The authors present generalizations of this theorem to nonlinea



Generalizations Of The Perron Frobenius Theorem For Nonlinear Maps


Generalizations Of The Perron Frobenius Theorem For Nonlinear Maps
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Author : Roger D. Nussbaum (wiskundige)
language : en
Publisher:
Release Date : 1996

Generalizations Of The Perron Frobenius Theorem For Nonlinear Maps written by Roger D. Nussbaum (wiskundige) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.




Nonlinear Perron Frobenius Theory


Nonlinear Perron Frobenius Theory
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Author : Bas Lemmens
language : en
Publisher: Cambridge University Press
Release Date : 2012-05-03

Nonlinear Perron Frobenius Theory written by Bas Lemmens and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-03 with Mathematics categories.


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



Nonlinear Perron Frobenius Theory


Nonlinear Perron Frobenius Theory
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Author :
language : en
Publisher:
Release Date : 2012

Nonlinear Perron Frobenius Theory written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Algebras, Linear categories.


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.



Recent Developments In Optimization Theory And Nonlinear Analysis


Recent Developments In Optimization Theory And Nonlinear Analysis
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Author : Yair Censor
language : en
Publisher: American Mathematical Soc.
Release Date : 1997

Recent Developments In Optimization Theory And Nonlinear Analysis written by Yair Censor and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Analyse fonctionnelle non linéaire - Congrès categories.


This volume contains the refereed proceedings of the special session on Optimization and Nonlinear Analysis held at the Joint American Mathematical Society-Israel Mathematical Union Meeting which took place at the Hebrew University of Jerusalem in May 1995. Most of the papers in this book originated from the lectures delivered at this special session. In addition, some participants who didn't present lectures and invited speakers who were unable to attend contributed their work. The fields of optimization theory and nonlinear analysis continue to be very active. This book presents not only the wide spectrum and diversity of the results, but also their manifold connections to other areas, such as differential equations, functional analysis, operator theory, calculus of variations, numerical analysis, and mathematical programming. In reading this book one encounters papers that deal, for example, with convex, quasiconvex and generalized convex functions, fixed and periodic points, fractional-linear transformations, moduli of convexity, monontone operators, Morse lemmas, Navier-Stokes equations, nonexpansive maps, nonsmooth analysis, numerical stability, products of projections, steepest descent, the Leray-Schauder degree, the turnpike property, and variational inequalities.



Topics In Dynamics And Ergodic Theory


Topics In Dynamics And Ergodic Theory
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Author : Sergey Bezuglyi
language : en
Publisher: Cambridge University Press
Release Date : 2003-12-08

Topics In Dynamics And Ergodic Theory written by Sergey Bezuglyi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-08 with Mathematics categories.


This book contains a collection of survey papers by leading researchers in ergodic theory, low-dimensional and topological dynamics and it comprises nine chapters on a range of important topics. These include: the role and usefulness of ultrafilters in ergodic theory, topological dynamics and Ramsey theory; topological aspects of kneading theory together with an analogous 2-dimensional theory called pruning; the dynamics of Markov odometers, Bratteli-Vershik diagrams and orbit equivalence of non-singular automorphisms; geometric proofs of Mather's connecting and accelerating theorems; recent results in one dimensional smooth dynamics; periodic points of nonexpansive maps; arithmetic dynamics; the defect of factor maps; entropy theory for actions of countable amenable groups.



The Theory Of Generalized Dirichlet Forms And Its Applications In Analysis And Stochastics


The Theory Of Generalized Dirichlet Forms And Its Applications In Analysis And Stochastics
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Author : Wilhelm Stannat
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

The Theory Of Generalized Dirichlet Forms And Its Applications In Analysis And Stochastics written by Wilhelm Stannat and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Dirichlet forms categories.


This text explores the theory of generalized Dirichlet Forms along with its applications for analysis and stochastics. Examples are provided.



Proper Maps Of Toposes


Proper Maps Of Toposes
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Author : Ieke Moerdijk
language : en
Publisher: American Mathematical Soc.
Release Date : 2000

Proper Maps Of Toposes written by Ieke Moerdijk and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mappings categories.


We develop the theory of compactness of maps between toposes, together with associated notions of separatedness. This theory is built around two versions of "propriety" for topos maps, introduced here in a parallel fashion. The first, giving what we simply call "proper" maps, is a relatively weak condition due to Johnstone. The second kind of proper maps, here called "tidy", satisfy a stronger condition due to Tierney and Lindgren. Various forms of the Beck-Chevalley condition for (lax) fibered product squares of toposes play a central role in the development of the theory. Applications include a version of the Reeb stability theorem for toposes, a characterization of hyperconnected Hausdorff toposes as classifying toposes of compact groups, and of strongly Hausdorff coherent toposes as classifiying toposes of profinite groupoids. Our results also enable us to develop further particular aspects of the factorization theory of geometric morphisms studied by Johnstone. Our final application is a (so-called lax) descent theorem for tidy maps between toposes. This theorem implies the lax descent theorem for coherent toposes, conjectured by Makkai and proved earlier by Zawadowski.



The Defect Relation Of Meromorphic Maps On Parabolic Manifolds


The Defect Relation Of Meromorphic Maps On Parabolic Manifolds
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Author : George Lawrence Ashline
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

The Defect Relation Of Meromorphic Maps On Parabolic Manifolds written by George Lawrence Ashline and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.


This book is intended for graduate students and research mathematicians working in several complex variables and analytic spaces.



Tensor Analysis


Tensor Analysis
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Author : Liqun Qi
language : en
Publisher: SIAM
Release Date : 2017-04-19

Tensor Analysis written by Liqun Qi and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-19 with Mathematics categories.


Tensors, or hypermatrices, are multi-arrays with more than two indices. In the last decade or so, many concepts and results in matrix theory?some of which are nontrivial?have been extended to tensors and have a wide range of applications (for example, spectral hypergraph theory, higher order Markov chains, polynomial optimization, magnetic resonance imaging, automatic control, and quantum entanglement problems). The authors provide a comprehensive discussion of this new theory of tensors. Tensor Analysis: Spectral Theory and Special Tensors is unique in that it is the first book on these three subject areas: spectral theory of tensors; the theory of special tensors, including nonnegative tensors, positive semidefinite tensors, completely positive tensors, and copositive tensors; and the spectral hypergraph theory via tensors.