On the arithmetic sum of regular Cantor sets

J. Palis; J. C. Yoccoz

Annales de l'I.H.P. Analyse non linéaire (1997)

  • Volume: 14, Issue: 4, page 439-456
  • ISSN: 0294-1449

How to cite

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Palis, J., and Yoccoz, J. C.. "On the arithmetic sum of regular Cantor sets." Annales de l'I.H.P. Analyse non linéaire 14.4 (1997): 439-456. <http://eudml.org/doc/78418>.

@article{Palis1997,
author = {Palis, J., Yoccoz, J. C.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {Cantor sets; perturbation; Hausdorff dimension},
language = {eng},
number = {4},
pages = {439-456},
publisher = {Gauthier-Villars},
title = {On the arithmetic sum of regular Cantor sets},
url = {http://eudml.org/doc/78418},
volume = {14},
year = {1997},
}

TY - JOUR
AU - Palis, J.
AU - Yoccoz, J. C.
TI - On the arithmetic sum of regular Cantor sets
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1997
PB - Gauthier-Villars
VL - 14
IS - 4
SP - 439
EP - 456
LA - eng
KW - Cantor sets; perturbation; Hausdorff dimension
UR - http://eudml.org/doc/78418
ER -

References

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  1. [F] K.J. Falconer, The geometry of fractal sets, Cambridge Univ. Press, 1985. Zbl0587.28004MR867284
  2. [PTI] J. Palis and F. Takens, Cycles and measure of bifurcation sets for two-dimensional diffeomorphisms, Inventiones Math., Vol. 82, 1985, pp. 397-422. Zbl0579.58005MR811543
  3. [P] J. Palis, Homoclinic orbits, hyperbolic dynamics and dimension of Cantor sets, Contemporary Math., Vol. 58, 1987, pp. 203-215. Zbl0617.58027MR893866
  4. [PT2] J. Palis and F. Takens, Hyperbolicity and sensitive-chaotic dynamics at homoclinic bifurcations, Cambridge Univ. Press, 1993, 2nd edition 1994. Zbl0790.58014MR1237641
  5. [PY] J. Palis and J-C. Yoccoz, Homoclinic tangencies for hyperbolic sets of large Hausdorff dimension, Acta Math., Vol. 172, 1994, pp. 91-136. Zbl0801.58035MR1263999

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