Abstract
This is an erratum for the paper “Stable intersections of regular Cantor sets with large Hausdorff dimensions” by Moreira and Yoccoz. We show how to fix a flaw — a bad choice of parameters — in the proof of the scale recurrence lemma. This lemma is an important step towards establishing the main theorem.
Original article: https://doi.org/10.2307/3062110
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[TJE] J. E. López, Stable projections of cartesian products of regular Cantor sets, 2012.
@MISC{TJE,
author = {L{ó}pez, J. E.},
title = {Stable projections of cartesian products of regular {C}antor sets},
note = {Ph.D. thesis, Instituto Nacional de Matematica Pura e Aplicada},
year = {2012},
} -
[MY]
C. G. T. de A. Moreira and J. Yoccoz, "Stable intersections of regular Cantor sets with large Hausdorff dimensions," Ann. of Math. (2), vol. 154, iss. 1, pp. 45-96, 2001.@ARTICLE{MY,
author = {de A. Moreira, C. G. T. and Yoccoz, Jean-Christophe},
title = {Stable intersections of regular {C}antor sets with large {H}ausdorff dimensions},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {154},
year = {2001},
number = {1},
pages = {45--96},
issn = {0003-486X},
mrclass = {37C45 (28A78 28A80 37D05 37E30 37G25)},
mrnumber = {1847588},
mrreviewer = {Sergio Plaza},
doi = {10.2307/3062110},
url = {https://doi.org/10.2307/3062110},
zblnumber = {1195.37015},
} -
[MY2] C. G. T. de A. Moreira and J. Yoccoz, "Tangences homoclines stables pour des ensembles hyperboliques de grande dimension fractale," Ann. Sci. Éc. Norm. Supér. (4), vol. 43, iss. 1, pp. 1-68, 2010.
@ARTICLE{MY2,
author = {de A. Moreira, C. G. T. and Yoccoz, Jean-Christophe},
title = {Tangences homoclines stables pour des ensembles hyperboliques de grande dimension fractale},
journal = {Ann. Sci. \'{E}c. Norm. Supér. (4)},
fjournal = {Annales Scientifiques de l'\'{E}cole Normale Supérieure. Quatrième Série},
volume = {43},
year = {2010},
number = {1},
pages = {1--68},
issn = {0012-9593},
mrclass = {37D05 (37C45 37E30 37G25)},
mrnumber = {2583264},
mrreviewer = {Isabel Lug\~{a}o Rios},
doi = {10.24033/asens.2115},
url = {https://doi.org/10.24033/asens.2115},
zblnumber = {1200.37020},
} -
[Z] A. Zamudio, Complex Cantor sets: scale recurrence lemma and dimension formula, 2017.
@MISC{Z,
author = {Zamudio, A.},
title = {Complex {C}antor sets: scale recurrence lemma and dimension formula},
note = {Ph.D. thesis, Instituto Nacional de Matematica Pura e Aplicada},
year = {2017},
}
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