@STRING{ANNSE2 = "Ann. Sci. {\'E}cole Norm. Sup. (4)"} @string{BULSMF = "Bull. Soc. Math. France"} @string{RUSMS = "Russian Math. Surveys"} @string{ACTAM1 = "Acta Math."} @string{CRACA1 = "C. R. Acad. Sci. Paris S{\'e}r. I Math."} @string{MATHA = "Math. Ann."} @article{Julia, author="Julia,G.", title="M\'{e}moire sur l'it\'{e}ration des fonctions rationnelles", journal="J. Math. pures et app.", volume="8", year=1918, pages="47--245"} @article{Fatou1, author="Fatou,P.", title="Sur les \'{e}quations fonctionelles", journal="Bull. Soc. Math. France", volume="47", year=1919, pages="161--271"} @article{Fatou2, author="Fatou,P.", title="Sur les \'{e}quations fonctionelles", journal="Bull. Soc. Math. France", volume="48", year=1920, pages="33--94"} @article{Fatou3, author="Fatou,P.", title="Sur les \'{e}quations fonctionelles", journal="Bull. Soc. Math. France", volume="48", year=1920, pages="208--314"} @misc{Milnor1, author = "Milnor,J.", title = "Dynamics in one complex variable: introductory lectures", howpublished="SUNY Stony Brook, Institue for Mathematical Sciences", note="preprint \#1990/5" } @article{Blanchard1, author="Blanchard,P.", title="Complex analytic dynamics on the {R}iemann sphere", journal="Bull. Amer. Math. Soc.", volume="11", year="1984", pages="85--141"} @article{Lyubich1, author="Lyubich,M.", title="The dynamics of rational transforms: the topological picture", journal="Russian Math. Surveys", volume="41",number="4",year="1986",pages="43-117"} @article{Brolin, author="Brolin,H.", title="Invariant sets under iteration of rational functions", journal="Arkiv {f\"{u}r} Matematik", volume="6",year="1965",pages="103--144"} @article{Sulli1, author="Sullivan,D.", title="Quasiconformal homeomorphisms and dynamics {I}: Solution of the {F}atou-{J}ulia problem on wandering domains", journal="Ann. of Math.", volume="122",year="1985",pages="401--418", mynote="Don't have it yet"} @unpublished{Sull3, author="Sullivan,D.", title="Quasiconformal homeomorphisms and dynamics {III}: Topological conjugacy classes of analytic endomorphisms", note="preprint",mynote="Don't have it yet"} @article{Shishikura1, author="Shishikura,M.", title="On the quasiconformal surgery of rational functions", journal="Ann. Sci. \'{E}c. Norm. Sup.", volume="20",year="1987",pages="1--29"} @misc{Shishikura2, author = "Shishikura,M.", title = "The {H}ausdorff dimension of the boundary of the {M}andelbrot set and {J}ulia sets", howpublished="SUNY Stony Brook, Institue for Mathematical Sciences", note="preprint \#1991/7"} @article{LyuEre1, author="Lyubich,M.Y. and Eremenko,A.\`{E}.", title="The dynamics of analytic transforms", journal="Leningrad Math. J.", volume="1",number="3",year="1990",pages="563--634"} @book{Devaney1, author="Devaney,R.", title="An intorduction to chaotic dynamical systems", publisher="Addison-Wesley",year="1989", mynote="don't have"} @inproceedings{Keen1, crossref= "DevKeen", author="Keen,L.", title= "Julia sets", pages = "57--74"} @proceedings{DevKeen, editor="Devaney,R. and Keen,L.", title="Chaos and fractals: the mathematics behind the computer pictures", booktitle="Chaos and fractals: the mathematics behind the computer pictures", series="Proc. Symp. Appl. Math.", volume="39", year="1989", publisher="Amer. Math. Soc. (1989)", mynote="kludged date"} @inproceedings{Devaney2, crossref="BarnDem1", author="Devaney,R.", title="Exploding {J}ulia sets", pages="141--154"} @article{Herman1, author="Herman,M.", title="Exemples de fractions rationnelles ayant une orbite dense sur la sph\`{e}re de {R}iemann", journal=BULSMF, volume="112", year="1984", pages="93--42", mynote="don't have"} @article{Rees1, author="Rees,M.", title="Ergodic rational maps with dense critical point forward orbit", journal="Erg. Th. \& Dy. Sy.", volume="4", year="1984", pages="311--322"} @article{Rees2, author="Rees,M.", title="Positive measure sets of ergotic rational maps", journal=ANNSE2, volume="19", year="1986", pages="383--407"} @article{MSS, author="Ma\~{n}\'{e},R. and Sad,P. and Sullivan,D.", title="On the dynamics of rational maps", journal=ANNSE2, volume="16", year="1983", pages="193--217"} @incollection{Sul4, author="Sullivan,D.", title="Conformal Dynamical Systems", editor="Palis", booktitle="Geometric {D}ynamics", number="1007", series="Lecture Notes Math.", pages="725--752", publisher="Springer", year="1983", mynote="don't have"} @article{Lyu2, author="Lyubich,M.Y.", title="Some typical properties of the dynamics of rational maps", journal=RUSMS, volume=38,year=1983, pages="154--155"} @article{Lyu3, author="Lyubich,M.Y.", title="An analysis of the stability of the dynamics of rational functions", journal="Selecta Math. Soviet.", volume=9, year=1990, pages="69--90",mynote="I'm not sure about this one"} @misc{DouHub1, author="Douady,A. and Hubbard,J.H.", title="A proof of {T}hurston's topological characterization of rational functions", howpublished="preprint, Institut Mittag-Leffler", year=1984, mynote="I don't have it"} @book{PeitgenSaupe1, author="Peitgen,H.-O., and Saupe,D.", title = "The {S}cience of {F}ractal Images", booktitle = "The {S}cience of {F}ractal {I}mages", publisher = "Springer", year = "1989"} @inbook{Peitgen1, author = "Peitgen,H.-0", crossref = "PeitgenSaupe1", title = "Fantastic deterministic fractals", pages = "169--218"} @inbook{Peitgen1, author = "Peitgen,H.-0", crossref = "PeitgenSaupe1", title = "Exploring the {M}andlelbrot set", pages = "287--296"} @incollection{Milnor2, author = "Milnor,J.", title = "Self-similarity and hairiness in the {M}andelbrot set", editor = "Tangora", booktitle = "{C}omputers in {G}eometry and {T}opology", series = "Lect. Notes Pure Appl. Math", number = "114", publisher = "Dekker", year = "1989",mynote="Only have an old preprint"} @misc{Rees3, author = "Rees,M.", title = "Components of degree two hyperbolic rational maps", howpublished = "in preparation"} @article{BraHub1, author = "Branner,B. and Hubbard,J.H.", title="The iteration of cubic polynomials, {P}art I: the global topology of parameter space", journal = ACTAM1, volume = "160", pages = "143--206", year = "1988",mynote="don't have it yet"} @inproceedings{Branner1, crossref = "BarnDem", author = "Branner,B.", title = "The parameter space for complex cubic polynomials", pages = "169--179"} @inproceedings{Branner2, author = "Branner,B.", crossref = "DevKeen", title = "The {M}andelbrot set", pages = "75--105"} @incollection{Douady1, author = "Douady,A.", title = "Julia sets and the {M}andelbrot set", booktitle = "The {B}eauty of {F}ractals", pages = "161--173", publisher = "Springer", editor = "Peitgen \& Richter", year = "1986"} @article{DouHub2, author = "Douady,A. and Hubbard,J.H.", title = "On the dynamics of polynomial-like mappings", journal = ANNSE2, volume = "18", year = "1985", pages = "287--343"} @article{DouHub3, author = "Douady,A. and Hubbard,J.H.", title = "It\'eration des polyn\^omes quadratiques complexes", journal = CRACA1, volume = "294", year = "1982", pages = "123--126"} @misc{BraHub2, author = "Branner,B. and Hubbard,J.H.", title="The iteration of cubic polynomials, {P}art II: patterns and parapatterns", howpublished = ACTAM1, note = "to be published", mynote="don't have it yet"} @inproceedings{Blanchard2, crossref = "BarnDem1", author = "Blanchard,P.", title = "Disconnected {J}ulia sets", pages = "181--201"} @incollection{MilnorThurston1, author = "Milnor,J. and Thurston,W.", title = "Iterated maps of the interval", booktitle = "Dynamical {S}ystems ({M}aryland 1986-87)", editor = "J.C.Alexander", publisher = "Springer", pages = "465--563", volume = "1342", year = "1988", series = "Lect. Notes Math.",mynote="don't have it yet"} @proceedings{BarnDem1, editor="Barnsley,M. and Demko,S.", title="Chaotic dynamics and fractals", year="1986", booktitle="Chaotic dynamics and fractals", publisher="Academic Press"} @article{Cremer1, author="Cremer,H.", title="Zum Zentrumproblem", journal=MATHA, volume=98,year=1927,pages="151--163", mynote="don't have it"} @article{Cremer2, author="Cremer,H.", title="{\"U}ber die {H\"a}ufigkeit der {N}ichtzentren", journal=MATHA, volume=115,year=1938,pages="573--580", mynote="don't have it"} @article{Siegel, author="Siegel,C.L.", title="Iteration of analytic functions", journal="Ann. of Math.", volume=43,year=1942,pages="607--612", mynote="don't have it"} @article{Bottcher, author="B{\"o}ttcher,L.E.", title="The principal laws of convergence of iterates and their application to analysis", journal="Izv. Kazan. Fiz.-Mat. Obshch.", volume=14,year=1904,pages="155--234", mynote="don't have it"} @article{Bryuno, author="Bryuno,A.D.", title="Convergence of transformations of differential equations to normal forms", journal="Dokl. Akad. Nauk USSR", volume="165",year=1965,pages="987--989", mynote="don't have it"} @inproceedings{Herman2, author="Herman,M.", title="Recent results and some open questions on {S}iegel's linearization theorem of grems of complex analytic diffeomorphisms of $\comp^n$ near a fixed point", booktitle="Proc. $8^{\text{th}}$ Int. Cong. Math. Phys.", publisher="World Sci. (1986)", year="1986", mynote="don't have it, kludged date"} @article{Douady2, author="Douady,A.", title="Disques de {S}iegel et anneaux de {H}erman", journal="S\'{e}m. {B}ourbaki $39^e$ ann\'{e}e",volume=677, year="1986-87"} @article{Yoccoz1, author="Yoccoz,J.-C.", title="Lin\'{e}arisation de germes de diff\'{e}omorphismes holomorphes de $(\comp,0)$", journal=CRACA1, volume=306,year=1988,pages="55--58", mynote="don't have it yet"} .