Search Results for "one-dimensional-dynamics-ergebnisse-der-mathematik-und-ihrer-grenzgebiete-3-folge-a-series-of-modern-surveys-in-mathematics"

One-Dimensional Dynamics

One-Dimensional Dynamics

  • Author: Welington de Melo,Sebastian van Strien
  • Publisher: Springer Science & Business Media
  • ISBN: 3642780431
  • Category: Mathematics
  • Page: 606
  • View: 4651
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One-dimensional dynamics has developed in the last decades into a subject in its own right. Yet, many recent results are inaccessible and have never been brought together. For this reason, we have tried to give a unified ac count of the subject and complete proofs of many results. To show what results one might expect, the first chapter deals with the theory of circle diffeomorphisms. The remainder of the book is an attempt to develop the analogous theory in the non-invertible case, despite the intrinsic additional difficulties. In this way, we have tried to show that there is a unified theory in one-dimensional dynamics. By reading one or more of the chapters, the reader can quickly reach the frontier of research. Let us quickly summarize the book. The first chapter deals with circle diffeomorphisms and contains a complete proof of the theorem on the smooth linearizability of circle diffeomorphisms due to M. Herman, J.-C. Yoccoz and others. Chapter II treats the kneading theory of Milnor and Thurstonj also included are an exposition on Hofbauer's tower construction and a result on fuB multimodal families (this last result solves a question posed by J. Milnor).

Zeitschrift für Analysis und ihre Anwendungen

Zeitschrift für Analysis und ihre Anwendungen

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematical analysis
  • Page: N.A
  • View: 8991
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The [rho]-harmonic Equation and Recent Advances in Analysis

The [rho]-harmonic Equation and Recent Advances in Analysis

IIIrd Prairie Analysis Seminar, October 17-18, 2003, Kansas State University, Manhattan, Kansas

  • Author: Pietro Poggi-Corradini
  • Publisher: American Mathematical Soc.
  • ISBN: 0821836102
  • Category: Mathematics
  • Page: 211
  • View: 5685
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Comprised of papers from the IIIrd Prairie Analysis Seminar held at Kansas State University, this book reflects the many directions of current research in harmonic analysis and partial differential equations. Included is the work of the distinguished main speaker, Tadeusz Iwaniec, his invited guests John Lewis and Juan Manfredi, and many other leading researchers. The main topic is the so-called p-harmonic equation, which is a family of nonlinear partial differential equations generalizing the usual Laplace equation. This study of p-harmonic equations touches upon many areas of analysis with deep relations to functional analysis, potential theory, and calculus of variations. The material is suitable for graduate students and research mathematicians interested in harmonic analysis and partial differential equations.

Cartesian Currents in the Calculus of Variations II

Cartesian Currents in the Calculus of Variations II

Variational Integrals

  • Author: Mariano Giaquinta,Both in the Department of Mathematics Mariano Giaquinta,Guiseppe Modica,Jiri Soucek
  • Publisher: Springer Science & Business Media
  • ISBN: 9783540640103
  • Category: Mathematics
  • Page: 700
  • View: 6587
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This monograph (in two volumes) deals with non scalar variational problems arising in geometry, as harmonic mappings between Riemannian manifolds and minimal graphs, and in physics, as stable equilibrium configuations in nonlinear elasticity or for liquid crystals. The presentation is selfcontained and accessible to non specialists. Topics are treated as far as possible in an elementary way, illustrating results with simple examples; in principle, chapters and even sections are readable independently of the general context, so that parts can be easily used for graduate courses. Open questions are often mentioned and the final section of each chapter discusses references to the literature and sometimes supplementary results. Finally, a detailed Table of Contents and an extensive Index are of help to consult this monograph

Optical Characterization of Epitaxial Semiconductor Layers

Optical Characterization of Epitaxial Semiconductor Layers

  • Author: Günther Bauer,Wolfgang Richter
  • Publisher: Springer Science & Business Media
  • ISBN: 3642796788
  • Category: Technology & Engineering
  • Page: 429
  • View: 8716
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The characterization of epitaxial layers and their surfaces has benefitted a lot from the enormous progress of optical analysis techniques during the last decade. In particular, the dramatic improvement of the structural quality of semiconductor epilayers and heterostructures results to a great deal from the level of sophistication achieved with such analysis techniques. First of all, optical techniques are nondestructive and their sensitivity has been improved to such an extent that nowadays the epilayer analysis can be performed on layers with thicknesses on the atomic scale. Furthermore, the spatial and temporal resolution have been pushed to such limits that real time observation of surface processes during epitaxial growth is possible with techniques like reflectance difference spectroscopy. Of course, optical spectroscopies complement techniques based on the inter action of electrons with matter, but whereas the latter usually require high or ultrahigh vacuum conditions, the former ones can be applied in different environments as well. This advantage could turn out extremely important for a rather technological point of view, i.e. for the surveillance of modern semiconductor processes. Despite the large potential of techniques based on the interaction of electromagnetic waves with surfaces and epilayers, optical techniques are apparently moving only slowly into this area of technology. One reason for this might be that some prejudices still exist regarding their sensitivity.

Three-Dimensional Flows

Three-Dimensional Flows

  • Author: Vítor Araújo,Maria José Pacifico
  • Publisher: Springer Science & Business Media
  • ISBN: 3642114148
  • Category: Mathematics
  • Page: 355
  • View: 4227
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In this book, the authors present the elements of a general theory for flows on three-dimensional compact boundaryless manifolds, encompassing flows with equilibria accumulated by regular orbits. The book aims to provide a global perspective of this theory and make it easier for the reader to digest the growing literature on this subject. This is not the first book on the subject of dynamical systems, but there are distinct aspects which together make this book unique. Firstly, this book treats mostly continuous time dynamical systems, instead of its discrete counterpart, exhaustively treated in some other texts. Secondly, this book treats all the subjects from a mathematical perspective with proofs of most of the results included. Thirdly, this book is meant to be an advanced graduate textbook and not just a reference book or monograph on the subject. This aspect is reflected in the way the cover material is presented, with careful and complete proofs, and precise references to topics in the book.

Lozi Mappings

Lozi Mappings

Theory and Applications

  • Author: Zeraoulia Elhadj
  • Publisher: CRC Press
  • ISBN: 1466580720
  • Category: Mathematics
  • Page: 338
  • View: 9187
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This book is a comprehensive collection of known results about the Lozi map, a piecewise-affine version of the Henon map. Henon map is one of the most studied examples in dynamical systems and it attracts a lot of attention from researchers, however it is difficult to analyze analytically. Simpler structure of the Lozi map makes it more suitable for such analysis. The book is not only a good introduction to the Lozi map and its generalizations, it also summarizes of important concepts in dynamical systems theory such as hyperbolicity, SRB measures, attractor types, and more.

Mathematical Reviews

Mathematical Reviews

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematics
  • Page: N.A
  • View: 9618
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Foundations of constructive mathematics

Foundations of constructive mathematics

metamathematical studies

  • Author: Michael J. Beeson
  • Publisher: Springer
  • ISBN: 9783540121732
  • Category: Mathematics
  • Page: 466
  • View: 7354
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The Geometry of Infinite-Dimensional Groups

The Geometry of Infinite-Dimensional Groups

  • Author: Boris Khesin,Robert Wendt
  • Publisher: Springer Science & Business Media
  • ISBN: 3540772634
  • Category: Mathematics
  • Page: 304
  • View: 9955
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This monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. The text includes many exercises and open questions.