Sinai-Ruelle-Bowen measures for contracting Lorenz maps and flows

Roger J. Metzger

Annales de l'I.H.P. Analyse non linéaire (2000)

  • Volume: 17, Issue: 2, page 247-276
  • ISSN: 0294-1449

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Metzger, Roger J.. "Sinai-Ruelle-Bowen measures for contracting Lorenz maps and flows." Annales de l'I.H.P. Analyse non linéaire 17.2 (2000): 247-276. <http://eudml.org/doc/78493>.

@article{Metzger2000,
author = {Metzger, Roger J.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {ergodic absolutely continuous measure; SRB measure; contracting Lorenz map},
language = {eng},
number = {2},
pages = {247-276},
publisher = {Gauthier-Villars},
title = {Sinai-Ruelle-Bowen measures for contracting Lorenz maps and flows},
url = {http://eudml.org/doc/78493},
volume = {17},
year = {2000},
}

TY - JOUR
AU - Metzger, Roger J.
TI - Sinai-Ruelle-Bowen measures for contracting Lorenz maps and flows
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2000
PB - Gauthier-Villars
VL - 17
IS - 2
SP - 247
EP - 276
LA - eng
KW - ergodic absolutely continuous measure; SRB measure; contracting Lorenz map
UR - http://eudml.org/doc/78493
ER -

References

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  8. [8] Lorenz E.N., Deterministic non periodic flow, J. Atmosph. Sci.20 (1963) 130-141. 
  9. [9] Palis J., A global view of dynamics and a conjecture on the denseness of finitude of attractors, Asterisque (1998). Zbl1044.37014MR1755446
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  11. [11] Rovella A., The dynamics of perturbations of the contracting Lorenz attractor, Bull. Brazil. Math. Soc.24 (1993) 233-259. Zbl0797.58051MR1254985
  12. [12] Ruelle D., A measure associated with Axiom A attractors, Amer. J. Math.98 (1976) 619-654. Zbl0355.58010MR415683
  13. [13] Sinai Ya., Gibbs measure in ergodic theory, Russian Math. Surveys27 (1972) 21- 79. Zbl0255.28016MR399421
  14. [14] Viana M., Stochastic Dynamics of Deterministic Systems, 21° Colóquio Brasileiro de Matemática, IMPA, 1997. 
  15. [15] Viana M., Dynamics: a probabilistic and geometric perspective, Doc. Math. J. (Extra Volume ICM) (1998). Zbl0911.58013MR1648047
  16. [16] Young L.-S., Decay of correlations for certain quadratic maps, Comm. Math. Phys.146 (1992) 123-138. Zbl0760.58030MR1163671

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