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Electronic Research Announcements of the American Mathematical Society

Volumn 6, Issue 9, 2000, Pages 64-74

Local dimensions for poincaré recurrences

(3) Afraimovich, Valentin a Chazottes, Jean René a Saussol, Benoît b

a INSTITUTO DE INVESTIGACIÓN EN COMUNICACIÓN ÓPTICA (Mexico)

b INSTITUTO SUPERIOR TÉCNICO (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85009772363 PISSN: None EISSN: 10796762 Source Type: Journal
DOI: 10.1090/S1079-6762-00-00082-2 Document Type: Article

Times cited : (18)

References (11)

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- Pesin's dimension for Poincaré recurrences
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- Afraimovich, V.¹

2
- 0141663245
- preparation
- V. Afraimovich, J.-R. Chazottes, and B. Saussol, Pointwise dimensions for Poincaré recurrences associated with maps and special ows, in preparation.
- Pointwise Dimensions for Poincaré Recurrences Associated with Maps and Special Ows
- Afraimovich, V.¹ Chazottes, J.-R.² Saussol, B.³

3
- 0034356030
- to appear in Discrete and Continuous Dynamical Systems
- V. Afraimovich, J. Schmeling, E. Ugalde, and J. Urías, Spectra of dimensions for Poincaré recurrences, to appear in Discrete and Continuous Dynamical Systems (2000).
- (2000) Spectra of Dimensions for Poincaré Recurrences
- Afraimovich, V.¹ Schmeling, J.² Ugalde, E.³ Urías, J.⁴

4
- 0000684664
- Expansive one-parameter ows
- MR 49:6202
- R. Bowen and P. Walters, Expansive one-parameter ows, J. Diff. Equas. 12 (1972), 180-193. MR 49:6202
- (1972) J. Diff. Equas , vol.12 , pp. 180-193
- Bowen, R.¹ Walters, P.²

5
- 85009787238
- preprint
- J.-R. Chazottes and B. Saussol, Sur les dimensions locales et les dimensions des mesures, preprint (2000).
- (2000) Sur Les Dimensions Locales Et Les Dimensions Des Mesures
- Chazottes, J.-R.¹ Saussol, B.²

6
- 0003195540
- Introduction to the modern theory of dynamical systems
- Cambridge University Press, Cambridge, MR 96c:58055
- A. Katok and B. Hasselblatt, Introduction to the modern theory of dynamical systems, Encyclopedia of Math. and its Applications 54, Cambridge University Press, Cambridge, 1995. MR 96c:58055
- (1995) Encyclopedia of Math. And Its Applications , vol.54
- Katok, A.¹ Hasselblatt, B.²

7
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- Entropy and data compression schemes
- MR 93m:94012
- D. S. Ornstein and B. Weiss, Entropy and data compression schemes, IEEE Transactions on Information Theory 39 (1993), 78-83. MR 93m:94012
- (1993) IEEE Transactions on Information Theory , vol.39 , pp. 78-83
- Ornstein, D.S.¹ Weiss, B.²

8
- 0033433885
- Dimensions for recurrence times: Topological and dynamical properties
- MR 2000j:37026
- V. Penné, B. Saussol, and S. Vaienti, Dimensions for recurrence times: topological and dynamical properties, Discrete and Continuous Dynamical Systems 5 (1999), 783-798. MR 2000j:37026
- (1999) Discrete and Continuous Dynamical Systems , vol.5 , pp. 783-798
- Penné, V.¹ Saussol, B.² Vaienti, S.³

9
- 0003406475
- Dimension theory in dynamical systems, contemporary views and applications
- MR 99b:58003
- Ya. B. Pesin, Dimension theory in dynamical systems, contemporary views and applications, Chicago Lectures in Mathematics, 1997. MR 99b:58003
- (1997) Chicago Lectures in Mathematics
- Pesin, Y.B.¹

10
- 85009773930
- preparation
- B. Saussol, S. Troubetzkoy, and S. Vaienti, In preparation.
- Saussol, B.¹ Troubetzkoy, S.² Vaienti, S.³

11
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- Dimension, entropy and Lyapunov exponents
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- (1982) Ergod. Th. & Dyn. Syst , vol.2 , pp. 109-124
- Young, L.-S.¹

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