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Ergodic theory of fibred systems and metric number theory Book

Ergodic theory of fibred systems and metric number theory
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Ergodic theory of fibred systems and metric number theory, The application of ergodic theory to numerous problems in metric number theory—possible when a fibred system is constructed—has yielded promising results. This book details the basic notion of fibred systems, most of which are connected with f-expansions., Ergodic theory of fibred systems and metric number theory
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  • Ergodic theory of fibred systems and metric number theory
  • Written by author Fritz Schweiger
  • Published by Oxford : Clarendon Press ; 1995., 1995/01/19
  • The application of ergodic theory to numerous problems in metric number theory—possible when a fibred system is constructed—has yielded promising results. This book details the basic notion of fibred systems, most of which are connected with f-expansions.
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Book Categories

Authors

1 Basic definitions 1
2 Series expansions 7
3 Continued fractions 13
4 Algorithms of 'cotangent type' 25
5 Unimodal and other maps 27
6 Multidimensional continued fractions 31
7 Maps on the real axis 41
8 f-expansions 43
9 Ergodicity 47
10 Examples of non-ergodic systems 59
11 Distribution theorems 65
12 Invariant measures 75
13 Kuzmin's equation 85
14 The Parry-Daniels map 93
15 Renyi's condition 105
16 Auxiliary measures 111
17 First return map 119
18 Jump transformations I 129
19 Jump transformations II 141
20 Maps with indifferent fixed points 147
21 Dual algorithms 157
22 Piecewise fractional linear maps 171
23 Multidimensional maps 179
24 Diophantine problems 191
25 The transfer operator 207
26 The case of continued fractions 213
27 The Lasota-Yorke approach 227
28 Distortion and other functionals 233
29 More results on the Kuzmin operator 239
30 The quadratic map 245
31 Exponents of convergence 255
A References 265
B Index 291


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Ergodic theory of fibred systems and metric number theory, The application of ergodic theory to numerous problems in metric number theory—possible when a fibred system is constructed—has yielded promising results. This book details the basic notion of fibred systems, most of which are connected with f-expansions., Ergodic theory of fibred systems and metric number theory

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Ergodic theory of fibred systems and metric number theory, The application of ergodic theory to numerous problems in metric number theory—possible when a fibred system is constructed—has yielded promising results. This book details the basic notion of fibred systems, most of which are connected with f-expansions., Ergodic theory of fibred systems and metric number theory

Ergodic theory of fibred systems and metric number theory

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Ergodic theory of fibred systems and metric number theory, The application of ergodic theory to numerous problems in metric number theory—possible when a fibred system is constructed—has yielded promising results. This book details the basic notion of fibred systems, most of which are connected with f-expansions., Ergodic theory of fibred systems and metric number theory

Ergodic theory of fibred systems and metric number theory

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