Occurence times of rare events for mixing dynamical systems

A. Galves; B. Schmitt

Annales de l'I.H.P. Physique théorique (1990)

  • Volume: 52, Issue: 3, page 267-281
  • ISSN: 0246-0211

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Galves, A., and Schmitt, B.. "Occurence times of rare events for mixing dynamical systems." Annales de l'I.H.P. Physique théorique 52.3 (1990): 267-281. <http://eudml.org/doc/76486>.

@article{Galves1990,
author = {Galves, A., Schmitt, B.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {dynamical system; exponentially mixing; asymptotic behavior; theory of large fluctuations},
language = {eng},
number = {3},
pages = {267-281},
publisher = {Gauthier-Villars},
title = {Occurence times of rare events for mixing dynamical systems},
url = {http://eudml.org/doc/76486},
volume = {52},
year = {1990},
}

TY - JOUR
AU - Galves, A.
AU - Schmitt, B.
TI - Occurence times of rare events for mixing dynamical systems
JO - Annales de l'I.H.P. Physique théorique
PY - 1990
PB - Gauthier-Villars
VL - 52
IS - 3
SP - 267
EP - 281
LA - eng
KW - dynamical system; exponentially mixing; asymptotic behavior; theory of large fluctuations
UR - http://eudml.org/doc/76486
ER -

References

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  2. [2] R. Bellman and T.E. Harris, Recurrence Times for the Ehrenfest Model, Pac. J. Math., Vol. 1, 1951, pp. 184-187. Zbl0045.07802MR45323
  3. [3] T.E. Harris, First Passage Times and Recurrence Distributions, T.A.M.S., Vol. 73, 1952, pp.471-486. Zbl0048.36301MR52057
  4. [4] M. Cassandro, A. Galves, E. Olivieri and M.E. Vares, Metastable Behavior of Stochastic Systems: a Pathwise Approach, J. Stat. Phys., Vol. 35, No. 5/6, 1984. Zbl0591.60080MR749840
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  6. [6] A. Galves, E. Olivieri and M.E. Vares, Metastability for a Class of Dynamical Systems Subject to Small Random Perturbations, Ann. Probab., Vol. 15, 1987, pp. 1288- 1305. Zbl0709.60058MR905332
  7. [7] J.L. Lebowitz and R.H. Schonmann, On the Asymptotics of Occurence Times of Rare Events for Stochastic Spin Systems, J. Stat. Phys., Vol. 48, No. 3/4, 1987. Zbl1084.82521MR914904
  8. [8] A. Galves, F. Martinelli and E. Olivieri, Large Density Fluctuations for the Supercritical Contact Process, J. Stat. Phys., 1980 (to appear). Zbl0713.60109MR1003532
  9. [9] G. Pianigiani and J.A. Yorke, Expanding Maps on Sets which are Almos Invariant: Decay and Chaos, Trans. Am. Math. Soc., 1982. Zbl0417.28010MR534126
  10. [10] A. Lasota and J.A. Yorke, The Law of Exponential Decay for Expanding Mappings, Rend. Sem. Math. Univ., Padova, Vol. 64, 1981. Zbl0497.28016MR636632
  11. [11] R. Bowen, Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms, Lect. Notes Math., No. 470, 1975, Springer. Zbl0308.28010MR442989
  12. [12] A. Kondah, Mesures absolument continues invariantes pour des transformations expansives de l'intervalle et métriques projectives, Preprint de l'Université de Bourgogne. 
  13. [13] R.S. Ellis, Entropy, large deviations and statistical mechanics, Grund. der Math. Wissenschaften, Vol. 271, Springer. Zbl0566.60097MR793553
  14. [14] D. Ruelle, Thermodynamic Formalism, Adisson Wesley, Reading, 1978. MR511655

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