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Recurrence, dimensions and Lyapunov exponents
Saussol, B. ; Troubetzkoy, S. ; Vaienti, S.
HAL, hal-00113005 / Harvested from HAL
We show that the Poincaré return time of a typical cylinder is at least its length. For one dimensional maps we express the Lyapunov exponent and dimension via return times.
Publié le : 2002-07-05
Classification:  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],  [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]
@article{hal-00113005,
     author = {Saussol, B. and Troubetzkoy, S. and Vaienti, S.},
     title = {Recurrence, dimensions and Lyapunov exponents},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00113005}
}
Saussol, B.; Troubetzkoy, S.; Vaienti, S. Recurrence, dimensions and Lyapunov exponents. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00113005/