Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Barreira L. — Dimension and Recurrence in Hyperbolic Dynamics
Barreira L. — Dimension and Recurrence in Hyperbolic Dynamics



Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Dimension and Recurrence in Hyperbolic Dynamics

Автор: Barreira L.

Аннотация:

The main objective of this book is to give a broad unified introduction to the study of dimension and recurrence in hyperbolic dynamics. It includes the discussion of the foundations, main results, and main techniques in the rich interplay of four main 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. More than half of the material appears here for the first time in book form, describing many recent developments in the area such as topics on irregular sets, variational principles, applications to number theory, measures of maximal dimension, multifractal nonrigidity, and quantitative recurrence. All the results are included with detailed proofs, many of them simplified or rewritten on purpose for the book.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 1 edition

Год издания: 2008

Количество страниц: 300

Добавлена в каталог: 14.04.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
$u$-dimension      105
$u$-dimension, spectrum      108 148 169
$u$-pointwise dimension      108
Automorphism      193
Automorphism, permutation      195
Backward Lyapunov exponent      240
Boundary, Markov partition      52
Boundary, stable      52
Boundary, unstable      53
Bowen's equation      25
Box dimension      8
Box dimension, lower      8
Box dimension, upper      8
Characteristic polynomial      206
Coding map      42 52
Cohomologous function      56
Conditional variational principle      147 155 167
Conformal map      41 43 59
Cover      104
Cover, Moran      20 29 38 44 85 87 225
Cylinder set      24
Decomposition, ergodic      226
Decomposition, multifractal      81 101
Degenerate spectrum      179
Diameter      7
Dimension, box      8
Dimension, Hausdorff      8
Dimension, hyperbolic set      59
Dimension, lower box      8
Dimension, lower pointwise      9
Dimension, pointwise      12
Dimension, repeller      41
Dimension, spectrum      82 102 108 210 211
Dimension, spectrum, hyperbolic set      93
Dimension, spectrum, repeller      81
Dimension, theory      7 19 24
Dimension, upper box      8
Dimension, upper pointwise      9
Distinguishing measure      130 131 138
entropy      14 15
Entropy, formula      106
Entropy, Kolmogorov - Sinai      14
Entropy, local      102 224
Entropy, spectrum      102
Entropy, spectrum, nonrigidity      193
Entropy, spectrum, rigidity      193
Entropy, topological      15 104
Equilibrium measure      15
Equivalence class      194
Equivalent function      194
Ergodic decomposition      226
Ergodic measure      13
Ergodic theory      7 13
Expanding map      41
Forward Lyapunov exponent      239
frequency      187
Full measure      110
Function, equivalent      194
Function, locally constant      188 194
Geometric construction      19 22 27 31
Geometric construction, nonstationary      31 35
Gibbs measure      25
Gibbs measure, product structure      55
Global stable manifold      211
Global unstable manifold      211
Hausdorff dimension      8
Hausdorff measure      7
Holonomy map along stable manifolds      59
Holonomy map along unstable manifolds      59
Hyperbolic Julia set      43
Hyperbolic measure      241
Hyperbolic set      49
Hyperbolic set, dimension spectrum      93
Hyperbolic set, locally maximal      50
Hyperbolicity, nonuniform      237
Invariant measure      13
Irregular set      130 160
Irregular set, local entropies      143
Irregular set, Lyapunov exponents      143
Irregular set, pointwise dimensions      143
Julia set      43
Julia set, hyperbolic      43
Kolmogorov - Sinai entropy      14
Limit set      22
Local entropy      102 224
Local entropy, formula      106
Local product structure      51
Local stable manifold      50 238
Local unstable manifold      50 238
Locally constant function      188 194
Locally maximal hyperbolic set      50
Lower $u$-pointwise dimension      106
Lower box dimension      8
Lower pointwise dimension      9
Lower recurrence rate      255
Lower stable recurrence rate      272
Lower unstable recurrence rate      272
Lyapunov exponent, backward      240
Lyapunov exponent, forward      239
Map, coding      42 52
Map, conformal      43 59
Map, expanding      41
Map, shift      22 52
Markov chain, one-sided      42
Markov chain, two-sided      52
Markov partition      41 51
Markov partition, boundary      52
Measure, equilibrium      15
Measure, ergodic      13
Measure, full      110
Measure, full, dimension      70
Measure, Gibbs      25
Measure, Hausdorff      7
Measure, hyperbolic      241
Measure, invariant      13
Measure, maximal, $u$-dimension      110
Measure, maximal, dimension      49 67 68 70
Mixed spectrum      103
Mixed spectrum, conditional variational principle      161
Moran cover      20 29 38 44 85 87 225
Multifractal analysis      101
Multifractal classification      191
Multifractal decomposition      81 101 160
Multifractal nonrigidity      206
Multifractal rigidity      191 197
Multifractal spectrum      101
Nonadditive thermodynamic formalism      31
Nonadditive topological pressure      34
Nondegenerate spectrum      179
Nonuniform hyperbolicity      237
Nonuniformly hyperbolic diffeomorphism      241
Nonuniformly hyperbolic trajectory      237
Number theory      186
Periodic point, repelling      43
Permutation automorphism      195
Pointwise dimension      12 106 108
Pointwise dimension, stable      243
Pointwise dimension, unstable      243
Polynomial, characteristic      206
Product structure      49
Product structure, Gibbs measure      55
Product structure, local      51
rectangle      51 224 230
Recurrence rate      255
Recurrence rate, lower      255
Recurrence rate, lower, stable      272
Recurrence rate, lower, unstable      272
Recurrence rate, stable      272
Recurrence rate, unstable      272
Recurrence rate, upper      255
Recurrence rate, upper, stable      272
Recurrence rate, upper, unstable      272
Repeller      41
Repeller, dimension spectrum      81
Repelling periodic point      43
Return time      255
Return time, stable      271
Return time, unstable      271
Rigidity, multifractal      191 197
Section      66
Separated set      14
Set, cylinder      24
Set, hyperbolic      49
Set, irregular      130 160
Set, irregular, local entropies      143
Set, irregular, Lyapunov exponents      143
Set, irregular, pointwise dimensions      143
Set, Julia      43
Set, limit      22
Set, separated      14
Shift map      22 52
Singular value      65
Solenoid      66
Specification      131
Spectrum, $u$-dimension      108
Spectrum, degenerate      179
Spectrum, dimension      82 102 210 211
Spectrum, entropy      102
Spectrum, mixed      103
Spectrum, multifractal      101
Spectrum, nondegenerate      179
Stable boundary      52
Stable manifold, global      211
Stable manifold, local      50 238
Stable pointwise dimension      243
Stable recurrence rate      272
Stable return time      271
Symbolic dynamics      24
Thermodynamic formalism      7 14 24
Thermodynamic formalism, nonadditive      31
Topological entropy      15 104
Topological Markov chain, one-sided      42
Topological Markov chain, two-sided      52
Topological pressure      15
Topological pressure, nonadditive      34
Topological pressure, noncompact set      104
Topologically mixing      42
Transition matrix      42 52
Typical point      129
Unstable boundary      53
Unstable manifold, global      211
Unstable manifold, local      50 238
Unstable pointwise dimension      243
Unstable recurrence rate      272
Unstable return time      271
Upper $u$-pointwise dimension      106
Upper box dimension      8
Upper pointwise dimension      9
Upper recurrence rate      255
Upper stable recurrence rate      272
Upper unstable recurrence rate      272
Variational Principle      147
Variational principle, conditional      147 155 167
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2021
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте