-
5
-
-
0001870459
-
The dynamics of the Hénon map
-
BC2
-
[BC2] _, The dynamics of the Hénon map, Ann. of Math. 133 (1991), 73-169.
-
(1991)
Ann. of Math.
, vol.133
, pp. 73-169
-
-
-
6
-
-
0011613307
-
Measure of solenoidal attractors of unimodal maps of the segment
-
BL1
-
[BL1] A. Blokh and M. Lyubich, Measure of solenoidal attractors of unimodal maps of the segment, Math. Notes 48 (1990), 1085-1090.
-
(1990)
Math. Notes
, vol.48
, pp. 1085-1090
-
-
Blokh, A.1
Lyubich, M.2
-
7
-
-
0001456877
-
Measurable dynamics of S-unimodal maps of the interval
-
BL2
-
[BL2] _, Measurable dynamics of S-unimodal maps of the interval, Ann. Sci. École Norm. Sup. 24 (1991), 545-573.
-
(1991)
Ann. Sci. École Norm. Sup.
, vol.24
, pp. 545-573
-
-
-
8
-
-
27544514665
-
Holomorphic families of injections
-
BR
-
[BR] L. Bras and H.L. Royden, Holomorphic families of injections, Acta Math. 157 (1986), 259-286.
-
(1986)
Acta Math.
, vol.157
, pp. 259-286
-
-
Bras, L.1
Royden, H.L.2
-
10
-
-
0041972640
-
How to prune a horseshoe
-
CH
-
[CH] A. De Carvalho and T. Hall, How to prune a horseshoe, Nonlinearity 15 (2002), R19-68.
-
(2002)
Nonlinearity
, vol.15
-
-
De Carvalho, A.1
Hall, T.2
-
11
-
-
0011548995
-
-
[C] Universality in Chaos, Adam Hilger Ltd., Bristol, 1984
-
[C] P. Cvitanović, Universality in Chaos, Adam Hilger Ltd., Bristol, 1984.
-
-
-
Cvitanović, P.1
-
12
-
-
0001942894
-
Itérations d'endomorphismes et groupe de renormalisation
-
CT
-
[CT] P. Coullet and C. Tresser, Itérations d'endomorphismes et groupe de renormalisation, J. Phys. Colloque C 539 (1978), C5-25.
-
(1978)
J. Phys. Colloque C
, vol.539
-
-
Coullet, P.1
Tresser, C.2
-
13
-
-
0002546725
-
Le problème des modules pour les sous-espaces analytiques compact d'un espace analytique donné
-
D1
-
[D1] A. Douady, Le problème des modules pour les sous-espaces analytiques compact d'un espace analytique donné, Ann. Inst. Fourier 16 (1966), 1-95.
-
(1966)
Ann. Inst. Fourier
, vol.16
, pp. 1-95
-
-
Douady, A.1
-
14
-
-
0003354480
-
Chirurgie sur les applications holomorphes
-
[D2] (Berkeley, CA), A.M.S., Providence, RI
-
[D2] _, Chirurgie sur les applications holomorphes, 724-738, in Proc. ICM (Berkeley, CA, 1986), A.M.S., Providence, RI, 1987.
-
(1986)
Proc. ICM
, pp. 724-738
-
-
-
15
-
-
0003026919
-
Does a Julia set depend continuously on a polynomial?
-
[D3] Complex Dynamical Systems, A. M. S., Providence, RI
-
[D3] _, Does a Julia set depend continuously on a polynomial?, in Complex Dynamical Systems, Proc. Sympos. Appl. Math. 49, A. M. S., Providence, RI, 91-138, 1994.
-
(1994)
Proc. Sympos. Appl. Math.
, vol.49
, pp. 91-138
-
-
-
17
-
-
0001539882
-
On the dynamics of polynomial-like maps
-
DH2
-
[DH2] _, On the dynamics of polynomial-like maps, Ann. Sci. École Norm. Sup. 18 (1985), 287-343.
-
(1985)
Ann. Sci. École Norm. Sup.
, vol.18
, pp. 287-343
-
-
-
18
-
-
0007034503
-
Baby Mandelbrot sets are born in cauliflowers
-
[DD] (with the participation of X. Buff, R. Devaney, and P. Sentenac) The Mandelbrot Set, Themes and Variations, London
-
[DD] A. Douady (with the participation of X. BUFF, R. DEVANEY, and P. SENTENAC), Baby Mandelbrot sets are born in cauliflowers, in The Mandelbrot Set, Themes and Variations, London Math. Soc. Lect. Note Series 274 (2000), 19-36.
-
(2000)
Math. Soc. Lect. Note Series
, vol.274
, pp. 19-36
-
-
Douady, A.1
-
20
-
-
0000830337
-
Fixed points of composition operators II
-
E
-
[E] H. Epstein, Fixed points of composition operators II, Nonlinearity 2 (1989), 305-310.
-
(1989)
Nonlinearity
, vol.2
, pp. 305-310
-
-
Epstein, H.1
-
21
-
-
0001570377
-
Bounds on the unstable eigenvalue for period doubling
-
EE
-
[EE] J.-P. Eckmann and H. Epstein, Bounds on the unstable eigenvalue for period doubling, Comm. Math. Phys. 128 (1990), 427-435.
-
(1990)
Comm. Math. Phys.
, vol.128
, pp. 427-435
-
-
Eckmann, J.-P.1
Epstein, H.2
-
22
-
-
0001661193
-
Stir les equations fonctionnelles
-
Fa
-
[Fa] P. Fatou, Stir les Equations Fonctionnelles, Bull. Soc. Math. Prance 47 (1919).
-
(1919)
Bull. Soc. Math. Prance
, vol.47
-
-
Fatou, P.1
-
23
-
-
0001816458
-
Quantitative universality for a class of nonlinear transformations
-
F1
-
[F1] M.J. Feigenbaum, Quantitative universality for a class of nonlinear transformations, J. Statist. Phys. 19 (1978), 25-52.
-
(1978)
J. Statist. Phys.
, vol.19
, pp. 25-52
-
-
Feigenbaum, M.J.1
-
24
-
-
0347447535
-
The universal metric properties of nonlinear transformations
-
F2
-
[F2] _, The universal metric properties of nonlinear transformations, J. Statist. Phys. 21 (1979), 669-706.
-
(1979)
J. Statist. Phys.
, vol.21
, pp. 669-706
-
-
-
26
-
-
0009077570
-
Sensitive dependence to initial conditions for one-dimensional maps
-
G1
-
[G1] J. Guckenheimer, Sensitive dependence to initial conditions for one-dimensional maps, Comm. Math. Physics 70 (1979), 133-160.
-
(1979)
Comm. Math. Physics
, vol.70
, pp. 133-160
-
-
Guckenheimer, J.1
-
27
-
-
0011677944
-
Limit sets of S-unimodal maps with zero entropy
-
G2
-
[G2] _, Limit sets of S-unimodal maps with zero entropy, Comm. Math. Phys. 110 (1987), 655-659.
-
(1987)
Comm. Math. Phys.
, vol.110
, pp. 655-659
-
-
-
28
-
-
0011615822
-
Induced expansion for quadratic polynomials
-
GS
-
[GS] J. Graczyk and G. Śwlstek, Induced expansion for quadratic polynomials, Ann. Sci. École Norm. Sup. 29 (1996), 399-482.
-
(1996)
Ann. Sci. École Norm. Sup.
, vol.29
, pp. 399-482
-
-
Graczyk, J.1
Śwlstek, G.2
-
29
-
-
0038998734
-
Parabolic limits of renormalization
-
Hi
-
[Hi] B. Hinkle, Parabolic limits of renormalization, Ergodic Theory Dynam. Systems 20 (2000), 173-229.
-
(2000)
Ergodic Theory Dynam. Systems
, vol.20
, pp. 173-229
-
-
Hinkle, B.1
-
30
-
-
0002808228
-
Local connectivity of Julia sets and bifurcation loci: Three theorems of J.-C. Yoccoz
-
[H] Topological Methods in Modern Mathematics, Publish or Perish, Houston, TX
-
[H] J.H. Hubbard, Local connectivity of Julia sets and bifurcation loci: three theorems of J.-C. Yoccoz, in Topological Methods in Modern Mathematics, A Symposium in Honor of John Milnor's 60th Birthday, Publish or Perish, Houston, TX, 1993.
-
(1993)
A Symposium in Honor of John Milnor's 60th Birthday
-
-
Hubbard, J.H.1
-
31
-
-
0001142190
-
Quadratic maps without asymptotic measure
-
HK
-
[HK] F. Hofbauer and G. Keller, Quadratic maps without asymptotic measure, Comm. Math. Physics. 127 (1990), 319-337.
-
(1990)
Comm. Math. Physics.
, vol.127
, pp. 319-337
-
-
Hofbauer, F.1
Keller, G.2
-
32
-
-
0002413379
-
Memoire sur l'iteration des fonctions rationnelles
-
Ju
-
[Ju] G. Julia, Memoire sur l'iteration des fonctions rationnelles, J. Math. Pure Appl. 8 (1918), 47-245.
-
(1918)
J. Math. Pure Appl.
, vol.8
, pp. 47-245
-
-
Julia, G.1
-
33
-
-
0002053804
-
Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
-
J
-
[J] M.V. Jakobson, Absolutely continuous invariant measures for one-parameter families of one-dimensional maps, Comm. Math. Phys. 81 (1981), 39-88.
-
(1981)
Comm. Math. Phys.
, vol.81
, pp. 39-88
-
-
Jakobson, M.V.1
-
34
-
-
0000802945
-
Singular measures without restrictive intervals
-
J
-
[J] S. Johnson, Singular measures without restrictive intervals, Comm. Math. Physics 110 (1987), 185-190.
-
(1987)
Comm. Math. Physics
, vol.110
, pp. 185-190
-
-
Johnson, S.1
-
36
-
-
84966250718
-
A computer-assisted proof of the Feigenbaum conjectures
-
La1
-
[La1] O.E. Lanford III, A computer-assisted proof of the Feigenbaum conjectures, Bull. Amer. Math. Soc. 6 (1982), 427-434.
-
(1982)
Bull. Amer. Math. Soc.
, vol.6
, pp. 427-434
-
-
Lanford O.E. III1
-
37
-
-
0002735387
-
Renormalization group methods for circle mappings
-
[La 2] _, in Nonlinear Evolution and Stochastic Phenomena
-
[La2] _, Renormalization group methods for circle mappings, in Nonlinear Evolution and Stochastic Phenomena, NATO Adv. Sci. Inst., Ser. B: Phys. 176 (1988), 25-36.
-
(1988)
NATO Adv. Sci. Inst., Ser. B: Phys.
, vol.176
, pp. 25-36
-
-
-
38
-
-
0010913688
-
Some properties of an absolutely continuous invariant measure on an interval
-
Le
-
[Le] F. Ledrappier, Some properties of an absolutely continuous invariant measure on an interval, Evgodic Theory Dynam. Systems 1 (1981), 77-93.
-
(1981)
Evgodic Theory Dynam. Systems
, vol.1
, pp. 77-93
-
-
Ledrappier, F.1
-
39
-
-
84968502739
-
The Fibonacci unimodal map
-
LM
-
[LM] M. Lyubich and J. Milnor, The Fibonacci unimodal map, J. Amer. Math. Soc. 6 (1993), 425-457.
-
(1993)
J. Amer. Math. Soc.
, vol.6
, pp. 425-457
-
-
Lyubich, M.1
Milnor, J.2
-
40
-
-
0011547866
-
Some typical properties of the dynamics of rational mappings
-
L1
-
[L1] M. Lyubich, Some typical properties of the dynamics of rational mappings, Russian Math. Surveys 38 (1983), 154-155.
-
(1983)
Russian Math. Surveys
, vol.38
, pp. 154-155
-
-
Lyubich, M.1
-
41
-
-
0001298363
-
Combinatorics, geometry and attractors of quasi-quadratic maps
-
L2
-
[L2] _, Combinatorics, geometry and attractors of quasi-quadratic maps, Ann. of Math. 140 (1994), 347-404.
-
(1994)
Ann. of Math.
, vol.140
, pp. 347-404
-
-
-
42
-
-
0001057166
-
Dynamics of quadratic polynomials I-II
-
L3
-
[L3] _, Dynamics of quadratic polynomials, I-II, Acta Math. 178 (1997), 185-297.
-
(1997)
Acta Math.
, vol.178
, pp. 185-297
-
-
-
43
-
-
0011665833
-
Dynamics of quadratic polynomials, III. Parapuzzle and SBR measure (Astérisque volume in honor of Douady's 60th birthday)
-
L4
-
[L4] _, Dynamics of quadratic polynomials, III. Parapuzzle and SBR measure (Astérisque volume in honor of Douady's 60th birthday), Géométrie Complexe et Systémes Dynamiques, Astérisque 261 (2000), 173-200.
-
(2000)
Géométrie Complexe et Systémes Dynamiques, Astérisque
, vol.261
, pp. 173-200
-
-
-
44
-
-
0033444774
-
Feigenbaum-coullet-tresser universality and Milnor's hairiness conjecture
-
L5
-
[L5]. _, Feigenbaum-Coullet-Tresser universality and Milnor's hairiness conjecture, Ann. of Math. 149 (1999), 319-420.
-
(1999)
Ann. of Math.
, vol.149
, pp. 319-420
-
-
-
45
-
-
0032564465
-
Regular and stochastic dynamics in the real quadratic family
-
L6
-
[L6] -, Regular and stochastic dynamics in the real quadratic family, Proc. Natl. Acad. Sci. 95 (1998), 14025-14027.
-
(1998)
Proc. Natl. Acad. Sci.
, vol.95
, pp. 14025-14027
-
-
-
47
-
-
0031516893
-
Dynamics of quadratic polynomials: Complex bounds for real maps
-
LY
-
[LY] M. Lyubich and M. Yampolsky, Dynamics of quadratic polynomials: Complex bounds for real maps, Ann. Inst. Fourier 47 (1997), 1219-1255.
-
(1997)
Ann. Inst. Fourier
, vol.47
, pp. 1219-1255
-
-
Lyubich, M.1
Yampolsky, M.2
-
48
-
-
0032333133
-
Local connectivity of Julia sets of real polynomials
-
LS
-
[LS] G. Levln and S. Van Strein, Local connectivity of Julia sets of real polynomials, Ann. of Math. 147 (1998), 471-541.
-
(1998)
Ann. of Math.
, vol.147
, pp. 471-541
-
-
Levln, G.1
Van Strein, S.2
-
49
-
-
0000970386
-
Invariant measures for Lebesgue typical quadratic maps (Astérisque volume in honor of Douady's 60th birthday)
-
MN
-
[MN] M. Martens and T. Nowicki, Invariant measures for Lebesgue typical quadratic maps (Astérisque volume in honor of Douady's 60th birthday), Géométrie Complexe et Systémes Dynamiques 261 (2000), 239-252.
-
(2000)
Géométrie Complexe et Systémes Dynamiques
, vol.261
, pp. 239-252
-
-
Martens, M.1
Nowicki, T.2
-
50
-
-
0011549927
-
Self-similarity and hairiness in the Mandelbrot set
-
[M] Computers in Geometry and Topology
-
[M] J. Milnor, Self-similarity and hairiness in the Mandelbrot set, in Computers in Geometry and Topology, Leer. Notes in Pure Appl. Math. 114 (1989), 211-257.
-
(1989)
Leer. Notes in Pure Appl. Math.
, vol.114
, pp. 211-257
-
-
Milnor, J.1
-
51
-
-
0003028556
-
Complex dynamics and renormalization
-
[McM1] Princeton Univ. Press, Princeton, NJ
-
[McM1] C. McMullen, Complex Dynamics and Renormalization, Ann. of Math. Studies 142, Princeton Univ. Press, Princeton, NJ, 1994.
-
(1994)
Ann. of Math. Studies
, vol.142
-
-
McMullen, C.1
-
52
-
-
0003336695
-
Renormalization and 3-manifolds which Fiber over the circle
-
[McM2] Princeton Univ. Press, Princeton, NJ
-
[McM2] Renormalization and 3-manifolds which Fiber over the Circle, Ann. of Math. Studies 135, Princeton Univ. Press, Princeton, NJ, 1996.
-
(1996)
Ann. of Math. Studies
, vol.135
-
-
-
53
-
-
0000155495
-
On the dynamics of rational maps
-
MSS
-
[MSS] R. Mañé, P. Sad, and D. Sullivan, On the dynamics of rational maps, Ann. Sci. École Norm. Sup. 16 (1983), 193-217.
-
(1983)
Ann. Sci. École Norm. Sup.
, vol.16
, pp. 193-217
-
-
Mañé, R.1
Sad, P.2
Sullivan, D.3
-
55
-
-
0033235574
-
2 infinitely renormalizable quadratic maps
-
MP
-
2 infinitely renormalizable quadratic maps, Comm. Math. Phys. 208 (1999), 91-105.
-
(1999)
Comm. Math. Phys.
, vol.208
, pp. 91-105
-
-
De Melo, W.1
Pinto, A.2
-
56
-
-
33749569489
-
A global view of dynamics and a conjecture of the denseness of finitude of attractors (Astérisque volume in honor of Douady's 60th birthday)
-
Pa
-
[Pa] J. Palis, A global view of dynamics and a conjecture of the denseness of finitude of attractors (Astérisque volume in honor of Douady's 60th birthday): Géométrie Complexe et Systémes Dynamiques 261 (2000), 335-348.
-
(2000)
Géométrie Complexe et Systémes Dynamiques
, vol.261
, pp. 335-348
-
-
Palis, J.1
-
57
-
-
0001273984
-
Stable orbits and bifurcations of maps of the interval
-
Si
-
[Si] D. Singer, Stable orbits and bifurcations of maps of the interval, SIAM J. Appl. Math. 35 (1978), 260-267.
-
(1978)
SIAM J. Appl. Math.
, vol.35
, pp. 260-267
-
-
Singer, D.1
-
58
-
-
0002958690
-
Quasiconformal homeomorphisms and dynamics, topology and geometry
-
[S1] (Berkeley, CA), A.M.S., Providence, RI
-
[S1] D. Sullivan, Quasiconformal homeomorphisms and dynamics, topology and geometry, Proc. ICM (Berkeley, CA, 1986), 1216-1228, A.M.S., Providence, RI, 1987.
-
(1986)
Proc. ICM
, pp. 1216-1228
-
-
Sullivan, D.1
-
59
-
-
0000419015
-
Bounds, quadratic differentials, and renormalization conjectures
-
[S2] Mathematics into Twenty-first Century
-
[S2] _, Bounds, quadratic differentials, and renormalization conjectures, AMS Centennial Publ. 2,417-466, Mathematics into Twenty-first Century, 1992.
-
(1992)
AMS Centennial Publ.
, vol.2
, pp. 417-466
-
-
-
60
-
-
84968521092
-
Holomorphic motions and polynomial hulls
-
Sl
-
[Sl] Z. Slodkowsky, Holomorphic motions and polynomial hulls, Proc. Amer. Math. Soc. 111 (1991), 347-355.
-
(1991)
Proc. Amer. Math. Soc.
, vol.111
, pp. 347-355
-
-
Slodkowsky, Z.1
-
61
-
-
0000273232
-
Itération d'endomorphismes et groupe de renormalisation
-
TC
-
[TC] C. Tresser and P. Coullet, Itération d'endomorphismes et groupe de renormalisation, C. R. Acad. Sci. Paris 287A (1978), 577-580.
-
(1978)
C. R. Acad. Sci. Paris
, vol.287 A
, pp. 577-580
-
-
Tresser, C.1
Coullet, P.2
-
62
-
-
84927989803
-
Feigenbaum universality and the thermodynamical formalism
-
VSK
-
[VSK] E.B. Vul, Ya. G. Sinai, and K.M. Khanin, Feigenbaum universality and the thermodynamical formalism, Russian Math. Surveys 39 (1984), 1-40.
-
(1984)
Russian Math. Surveys
, vol.39
, pp. 1-40
-
-
Vul, E.B.1
Sinai, Ya.G.2
Khanin, K.M.3
-
63
-
-
0040845429
-
Dynamics: A probabilistic and geometric perspective
-
[V] Berlin (Geronimo)
-
[V] M. Viana, Dynamics: a probabilistic and geometric perspective, Proc. ICM-98, Berlin (Geronimo 1998) 1, 557-578.
-
(1998)
Proc. ICM-98
, vol.1
, pp. 557-578
-
-
Viana, M.1
-
64
-
-
0035531303
-
The attractor of renormalization and rigidity of towers of critical circle maps
-
YA
-
[YA] M. Yampolsky, The attractor of renormalization and rigidity of towers of critical circle maps, Comm. Math. Phys. 218 (2001), 537-568.
-
(2001)
Comm. Math. Phys.
, vol.218
, pp. 537-568
-
-
Yampolsky, M.1
-
65
-
-
0011611105
-
Ergodic theory of attractors
-
Birkäuser-Verlag, Basel
-
[Y] L.-S. Young, Ergodic theory of attractors, Proc. ICM-94, Zürich 2, 1230-1237, Birkäuser-Verlag, Basel, 1995.
-
(1995)
Proc. ICM-94, Zürich
, vol.2
, pp. 1230-1237
-
-
Young, L.-S.1
|