Stability of the densities of invariant measures for piecewise affine expanding non-renormalizable maps

R. Galeeva

Annales de l'I.H.P. Physique théorique (1997)

  • Volume: 66, Issue: 1, page 137-144
  • ISSN: 0246-0211

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Galeeva, R.. "Stability of the densities of invariant measures for piecewise affine expanding non-renormalizable maps." Annales de l'I.H.P. Physique théorique 66.1 (1997): 137-144. <http://eudml.org/doc/76746>.

@article{Galeeva1997,
author = {Galeeva, R.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {piecewise expanding maps; Perron-Frobenius operators; invariant measures},
language = {eng},
number = {1},
pages = {137-144},
publisher = {Gauthier-Villars},
title = {Stability of the densities of invariant measures for piecewise affine expanding non-renormalizable maps},
url = {http://eudml.org/doc/76746},
volume = {66},
year = {1997},
}

TY - JOUR
AU - Galeeva, R.
TI - Stability of the densities of invariant measures for piecewise affine expanding non-renormalizable maps
JO - Annales de l'I.H.P. Physique théorique
PY - 1997
PB - Gauthier-Villars
VL - 66
IS - 1
SP - 137
EP - 144
LA - eng
KW - piecewise expanding maps; Perron-Frobenius operators; invariant measures
UR - http://eudml.org/doc/76746
ER -

References

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  1. [1] V. Baladi, S. Isola and B. Schmitt, Transfer Operator for Piecewise Affine Approximations for Interval Maps, Ann. Inst. Henri Poincaré, 62, 1995, pp. 251-256. Zbl0827.58014MR1335058
  2. [2] V. Baladi and L.-S. Young, On the Spectra of Randomly Pertubed Expanding Maps, Commun. Math. Phys., 156, 1993, pp. 355-385 Zbl0809.60101MR1233850
  3. (see also erratum Comm. Math. Phys., 166, 1994, pp. 219-220). MR1309547
  4. [3] R. Galeeva, M. Martens and Ch. Tresser, Inducing, Slopes and Conjugacy Classes, Preprint Stony Brook, 1994, submitted to Israel Journal of Math. MR1469090
  5. [4] G. Keller, Stochastic stability in some chaotic dynamical systems, Mh. Math., 94, 1982, pp. 313-333. Zbl0496.58010MR685377
  6. [5] A. Lasota and Y. Yorke, On the existence of invariant measures for piecewise monotone transformations, Trans. Amer. math. Soc., 183, 1973, pp. 481-488. Zbl0298.28015MR335758
  7. [6] R. MAÑÉ, Ergodic Theory and Differentiable Dynamics, vol.8, Springer-Verlag, 1987. MR889254
  8. [7] M. Martens and Ch. Tresser, Forcing of Periodic Orbits for Interval Maps and Renormalization of Piecewise Linear Affine Maps, Preprint Stony Brook, 1994. 

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