Metric diophantine approximation in Julia sets of expanding rational maps

Publications mathématiques de l IHÉS ◽

10.1007/bf02699537 ◽

1997 ◽

Vol 85 (1) ◽

pp. 193-216 ◽

Author(s):

Richard Hill ◽

Sanju L. Velani

Keyword(s):

Diophantine Approximation ◽

Rational Maps ◽

Metric Diophantine Approximation

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Multiplicative p-adic metric Diophantine approximation on manifolds and dichotomy of exponents

Bulletin de la Société mathématique de France ◽

10.24033/bsmf.2822 ◽

2020 ◽

Vol 148 (4) ◽

pp. 733-747

Author(s):

Shreyasi Datta ◽

Anish Gosh

Keyword(s):

Diophantine Approximation ◽

Metric Diophantine Approximation

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Hausdorff dimension, lower order and Khintchine's theorem in metric Diophantine approximation.

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.1992.432.69 ◽

1992 ◽

Vol 1992 (432) ◽

pp. 69-76 ◽

Keyword(s):

Hausdorff Dimension ◽

Diophantine Approximation ◽

Lower Order ◽

Metric Diophantine Approximation

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CONNECTIVITY OF JULIA SETS FOR SINGULARLY PERTURBED RATIONAL MAPS

Chaos, CNN, Memristors and Beyond ◽

10.1142/9789814434805_0018 ◽

2013 ◽

pp. 239-245 ◽

Author(s):

ROBERT L. DEVANEY ◽

ELIZABETH D. RUSSELL

Keyword(s):

Singularly Perturbed ◽

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Semiconjugacies between the Julia sets of geometrically finite rational maps II

Dynamics on the Riemann Sphere ◽

10.4171/011-1/7 ◽

2009 ◽

pp. 131-138 ◽

Author(s):

Tomoki Kawahira

Keyword(s):

Rational Maps ◽

Geometrically Finite

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Classical Metric Diophantine Approximation Revisited: The Khintchine-Groshev Theorem

International Mathematics Research Notices ◽

10.1093/imrn/rnp119 ◽

2009 ◽

Author(s):

V. Beresnevich ◽

S. Velani

Keyword(s):

Diophantine Approximation ◽

Metric Diophantine Approximation

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Coding and tiling of Julia sets for subhyperbolic rational maps

Advances in Mathematics ◽

10.1016/j.aim.2005.08.010 ◽

2006 ◽

Vol 200 (1) ◽

pp. 217-244 ◽

Author(s):

Atsushi Kameyama

Keyword(s):

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Rational maps with half symmetries, Julia sets, and Multibrot sets in parameter planes

Contemporary Mathematics - Conformal Dynamics and Hyperbolic Geometry ◽

10.1090/conm/573/11393 ◽

2012 ◽

pp. 119-146 ◽

Author(s):

Jun Hu ◽

Francisco Jimenez ◽

Oleg Muzician

Keyword(s):

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Variants of Khintchine's theorem in metric Diophantine approximation

Journal of Number Theory ◽

10.1016/j.jnt.2020.01.005 ◽

2020 ◽

Vol 215 ◽

pp. 160-170

Author(s):

Laima Kaziulytė

Keyword(s):

Diophantine Approximation ◽

Metric Diophantine Approximation

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Explicit bounds for rational points near planar curves and metric Diophantine approximation

Advances in Mathematics ◽

10.1016/j.aim.2010.05.021 ◽

2010 ◽

Vol 225 (6) ◽

pp. 3064-3087 ◽

Author(s):

Victor Beresnevich ◽

Evgeniy Zorin

Keyword(s):

Diophantine Approximation ◽

Rational Points ◽

Planar Curves ◽

Metric Diophantine Approximation ◽

Explicit Bounds

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Rational points near manifolds and metric Diophantine approximation

Annals of Mathematics ◽

10.4007/annals.2012.175.1.5 ◽

2012 ◽

Vol 175 (1) ◽

pp. 187-235 ◽

Author(s):

Victor Beresnevich

Keyword(s):

Diophantine Approximation ◽

Rational Points ◽

Metric Diophantine Approximation

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