Inicio > Matemáticas y ciencia > Matemáticas > Cálculo y análisis matemático > Dimension and Recurrence in Hyperbolic Dynamics
Dimension and Recurrence in Hyperbolic Dynamics

Dimension and Recurrence in Hyperbolic Dynamics

Luis Barreira

64,80 €
IVA incluido
Consulta disponibilidad
Editorial:
Springer Nature B.V.
Año de edición:
2008
Materia
Cálculo y análisis matemático
ISBN:
9783764388812

Selecciona una librería:

  • Librería Samer Atenea
  • Librería Aciertas (Toledo)
  • Kálamo Books
  • Librería Perelló (Valencia)
  • Librería Elías (Asturias)
  • Donde los libros
  • Librería Kolima (Madrid)
  • Librería Proteo (Málaga)

The main objective of this book is to give a broad uni?ed introduction to the study of dimension and recurrence inhyperbolic dynamics. It includes a disc- sion of the foundations, main results, and main techniques in the rich interplay of fourmain areas of research: hyperbolic dynamics, dimension theory, multifractal analysis, and quantitative recurrence. It also gives a panorama of several selected topics of current research interest. This includes topics on irregular sets, var- tional principles, applications to number theory, measures of maximal dimension, multifractal rigidity, and quantitative recurrence. The book isdirected to researchersas well as graduate students whowish to have a global view of the theory together with a working knowledgeof its main techniques. It can also be used as a basis for graduatecourses in dimension theory of dynamical systems, multifractal analysis (together with a discussion of several special topics), and pointwise dimension and recurrence in hyperbolic dynamics. I hope that the book may serve as a fast entry point to this exciting and active ?eld of research, and also that it may lead to further developments.

Artículos relacionados

  • Decision Control, Management, and Support in Adaptive and Complex Systems
    Rumen D. Andreev / Rumen DAndreev / Yuri P. Pavlov / Yuri PPavlov
    In order to ensure the criteria for monitoring and managing the various problems and design for decision control, a mathematical description of exact human knowledge is required for the management of adaptive and complex systems. Decision Control, Management, and Support in Adaptive and Complex Systems: Quantitative Models presents an application and demonstration of a new math...
  • GEOM SPHERIC SPACE FORM (2ND ED)
    GILKEY PETER B / PETER B GILKEY
     This volume focuses on discussing the interplay between the analysis, as exemplified by the eta invariant and other spectral invariants, the number theory, as exemplified by the relevant Dedekind sums and Rademacher reciprocity, the algebraic topology, as exemplified by the equivariant bordism groups, K-theory groups, and connective K-theory groups, and the geometry of spheric...
  • The Mathematics of Signal Processing
    Jr Willard Miller / Steven B. Damelin
    ...
    Disponible

    121,12 €

  • POINT-SET TOPOLOGY WITH TOPICS
    ANDRE ROBERT / Robert André
    This textbook can be used as introduction to a general topology course at undergraduate and graduate level courses. However, many parts of this book present topological concepts that apply directly to functional analysis, which will be of interest to scholars working in those fields.In Part I, readers are eased into the main subject matter of general topology, being presented w...
  • Codaigh agus Córais Dhinimiciúla Réadacha
    Stíofán M. Ó Buachalla
    This book contains an Irish translation of the the second-edition English version (ISBN 9780244879822, https://logicpress.ie/2020-1/index.html) of a one-semester undergraduate course taught through the medium of Irish. I have given this course in Maynooth each year since 2006. The class is typically quite mixed, and the book aims to challenge students familiar with rigorous arg...
    Disponible

    40,64 €

  • Calculus of Variations and Optimal Control Theory
    Daniel Liberzon
    This textbook offers a concise yet rigorous introduction to calculus of variations and optimal control theory, and is a self-contained resource for graduate students in engineering, applied mathematics, and related subjects. Designed specifically for a one-semester course, the book begins with calculus of variations, preparing the ground for optimal control. It then gives a com...

Otros libros del autor

  • Lyapunov Exponents
    Luis Barreira
    This book offers a self-contained introduction to the theory of Lyapunov exponents and its applications, mainly in connection with hyperbolicity, ergodic theory and multifractal analysis. It discusses the foundations and some of the main results and main techniques in the area, while also highlighting selected topics of current research interest. With the exception of a few bas...
    Disponible

    111,66 €

  • Lyapunov Exponents
    Luís Barreira
    This book offers a self-contained introduction to the theory of Lyapunov exponents and its applications, mainly in connection with hyperbolicity, ergodic theory and multifractal analysis. It discusses the foundations and some of the main results and main techniques in the area, while also highlighting selected topics of current research interest. With the exception of a few bas...
  • Thermodynamic Formalism and Applications to Dimension Theory
    Luis Barreira
    This self-contained monograph presents a unified exposition of the thermodynamic formalism and some of its main extensions, with emphasis on the relation to dimension theory and multifractal analysis of dynamical systems. In particular, the book considers three different flavors of the thermodynamic formalism, namely nonadditive, subadditive, and almost additive, and provides a...
    Disponible

    136,33 €

  • Dimension Theory of Hyperbolic Flows
    Luís Barreira
    The dimension theory of dynamical systems has progressively developed, especially over the last two decades, into an independent and extremely active field of research. Its main aim is to study the complexity of sets and measures that are invariant under the dynamics. In particular, it is essential to characterizing chaotic strange attractors. To date, some parts of the theory ...
  • Ergodic Theory, Hyperbolic Dynamics and Dimension Theory
    Luís Barreira
    Over the last two decades, the dimension theory of dynamical systems has progressively developed into an independent and extremely active field of research. The main aim of this volume is to offer a unified, self-contained introduction to the interplay of these three main areas of research: ergodic theory, hyperbolic dynamics, and dimension theory. It starts with the basic noti...
    Disponible

    103,12 €

  • Thermodynamic Formalism and Applications to Dimension Theory
    Luis Barreira
    Preface.- 1 Introduction.- I Classical Thermodynamic Formalism.- 2 Thermodynamic Formalism: Basic Notions.- 3 The Case of Symbolic Dynamics.- II Nonadditive Thermodynamic Formalism.- 4 Nonadditive Thermodynamic Formalism.- 5 Dimension Estimates for Repellers.- 6 Dimension Estimates for Hyperbolic Sets.- III Subadditive Thermodynamic Formalism.- 7 Asymptotically Subadditive Sequ...