@article{AFST_2003_6_12_4_533_0,
author = {Michael Yampolsky},
title = {Complex a priori bounds revisited},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {533--547},
publisher = {Universit\'e Paul Sabatier, Institut de Math\'ematiques},
address = {Toulouse},
volume = {Ser. 6, 12},
number = {4},
year = {2003},
zbl = {1070.37029},
mrnumber = {2060599},
language = {en},
url = {https://afst.centre-mersenne.org/item/AFST_2003_6_12_4_533_0/}
}
TY - JOUR AU - Michael Yampolsky TI - Complex a priori bounds revisited JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2003 SP - 533 EP - 547 VL - 12 IS - 4 PB - Université Paul Sabatier, Institut de Mathématiques PP - Toulouse UR - https://afst.centre-mersenne.org/item/AFST_2003_6_12_4_533_0/ LA - en ID - AFST_2003_6_12_4_533_0 ER -
%0 Journal Article %A Michael Yampolsky %T Complex a priori bounds revisited %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2003 %P 533-547 %V 12 %N 4 %I Université Paul Sabatier, Institut de Mathématiques %C Toulouse %U https://afst.centre-mersenne.org/item/AFST_2003_6_12_4_533_0/ %G en %F AFST_2003_6_12_4_533_0
Michael Yampolsky. Complex a priori bounds revisited. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 12 (2003) no. 4, pp. 533-547. https://afst.centre-mersenne.org/item/AFST_2003_6_12_4_533_0/
[GS] , , Polynomial-like property for real quadratic polynomials, Topology Proc. 21, p. 33-112 (1996). | Zbl | MR
[Ep] , Towers of finite type complex analytic maps , PhD Thesis, CUNY, (1993).
[EKT] , , , The set of maps F a,b : x ↦ x + a + b/2π sin(2πx) with any given rotation interval is contractible , Commun. Math. Phys. 173, p. 313-333 (1995). | Zbl | MR
[EY] , , The universal parabolic map, Erg. Theory and Dynam. Systems, to appear.
[Hin] , Parabolic limits of renormalization, Ergodic Theory Dynam. Systems 20, no. 1, p. 173-229 (2000). | Zbl | MR
[LvS] , , Local connectivity of the Julia set of real polynomials, Ann. of Math. (2) 147, no. 3, p. 471-541 (1998). | Zbl | MR
[Lyu3] , Combinatorics, geometry and attractors of quasi-quadratic maps, Ann. of Math. (2) 140, no. 2, p. 347-404 (1994). | Zbl | MR
[Lyu4] , Dynamics of quadratic polynomials, I-II, Acta Math., v. 178, p. 185-297 (1997). | Zbl | MR
[Lyu5] , Feigenbaum-Coullet-Tresser Universality and Milnor's Hairiness Conjecture, Ann. of Math. (2) 149, no. 2, p. 319-420 (1999). | Zbl | MR | EuDML
[Lyu6] , Almost every real quadratic map is either regular or stochastic, Annals of Math. 156, no. 1, p. 1-78 (2002). | Zbl | MR
[LY] and , Dynamics of quadratic polynomials: complex bounds for real maps, Ann. Inst. Fourier 47, 4, p. 1219-1255 (1997 ). | Zbl | MR | Numdam
[McM1] , Complex dynamics and renormalization , Annals of Math. Studies, v. 135, Princeton Univ. Press, (1994). | Zbl | MR
[McM2] , Renormalization and 3-manifolds which fiber over the circle, Annals of Math. Studies, Princeton University Press, (1996). | Zbl | MR
[MvS] & , One dimensional dynamics , Springer-Verlag, (1993 ). | Zbl
[Sh] , The Hausdorff dimension of the boundary of the Mandelbrot set and Julia sets, Ann. of Math. (2) 147, no. 2, p. 225-267 (1998). | Zbl | MR
[Sul1] , Quasiconformal homeomorphisms and dynamics, topology and geometry, Proc. ICM-86, Berkeley, v. II, p. 1216-1228. | Zbl | MR
[Sul2] , Bounds, quadratic differentials, and renormalization conjectures, AMS Centennial Publications. 2: Mathematics into Twenty-first Century (1992). | Zbl | MR
[Ya] , The attractor of renormalization and rigidity of towers of critical circle maps, Comm. Math. Phys. 218, no. 3, p. 537-568 (2001). | Zbl | MR