Bibliography for the Mandelbrot Set

unabridged

 

  1. Visible and nonexistent trees of Mandelbrot sets. Dissertation, University of Jyväskylä, Jyväskylä, 2003. Report.
    Kauko, Virpi
    University of Jyväskylä Department of Mathematics and Statistics, 86. University of Jyväskylä, Jyväskylä, 2003. 26 pp. ISBN: 951-39-1318-X, MathSciNet.  
  2. Operating with external arguments in the Mandelbrot set antenna
    Pastor G.; Romera M.; Alvarez G.; Montoya F.
    Physica D, 1 October 2002, vol. 171, no. 1, pp. 52-71(20), Ingenta.  
  3. On the Mandelbrot set for pairs of linear maps
    Bandt, Christoph
    Nonlinearity, 2002, vol. 15, no. 4, pp. 1127-1147(21), Ingenta.  
  4. Parametric 2-dimensional L systems and recursive fractal images: Mandelbrot set, Julia sets and biomorphs
    Ortega A.; de la Cruz M.; Alfonseca M.
    Computers and Graphics, February 2002, vol. 26, no. 1, pp. 143-149(7), Ingenta.  
  5. Geometry of the antennas in the Mandelbrot set.
    Devaney, R. L.; Rocha, M. Moreno
    Fractals 10 (2002), no. 1, 39--46, MathSciNet.  
  6. Generalized Mandelbrot sets for meromorphic complex and quaternionic maps.
    Buchanan, Walter; Gomatam, Jagannathan; Steves, Bonnie
    Internat. J. Bifur. Chaos Appl. Sci. Engrg. 12 (2002), no. 8, 1755--1777, MathSciNet.  
  7. Generalized Mandelbrot sets of switched processes. (Chinese)
    Wang, Xing Yuan
    J. Northeast. Univ. Nat. Sci. 23 (2002), no. 5, 432--435, MathSciNet.  
  8. Exterior structure of general Mandelbrot sets with positive real index number. (Chinese)
    Wang, Xing Yuan
    J. Northeast. Univ. Nat. Sci. 23 (2002), no. 4, 329--332, MathSciNet.  
  9. Mandelbrot sets for Julia sets in the general case. The Mandelbrot sets for Julia sets of high order.
    Tomova, A.
    Applications of mathematics in engineering and economics (Sozopol, 2001), 323--334, Heron Press, Sofia, 2002, MathSciNet.  
  10. Pi in the Mandelbrot set.
    Klebanoff, Aaron
    Fractals 9 (2001), no. 4, 393--402, MathSciNet.  
  11. On the continuity of Hausdorff dimension of Julia sets and similarity between the Mandelbrot set and Julia sets.
    Rivera-Letelier, Juan
    Fund. Math. 170 (2001), no. 3, 287--317, MathSciNet.  
  12. Extensions of homeomorphisms between limbs of the Mandelbrot set.
    Branner, Bodil; Fagella, Núria
    Conform. Geom. Dyn. 5 (2001), 100--139 (electronic), MathSciNet.  
  13. Julia and Mandelbrot sets of Chebyshev families.
    Peherstorfer, Franz; Stroh, Christoph
    Internat. J. Bifur. Chaos Appl. Sci. Engrg. 11 (2001), no. 9, 2463--2481, MathSciNet.  
  14. Fractal structures of the non-boundary region of the generalized Mandelbrot set.
    Wang, Xingyuan
    Progr. Natur. Sci. (English Ed.) 11 (2001), no. 9, 693--700, MathSciNet.  
  15. Composed accelerated escape time algorithm to construct the general Mandelbrot sets.
    Liu, Xiangdong; Zhu, Zhiliang; Wang, Guangxing; Zhu, Weiyong
    Fractals 9 (2001), no. 2, 149--153, MathSciNet.  
  16. Study of the general Mandelbrot set generated by the complex iteration . (Chinese)
    Yan, De Jun; Liu, Xiang Dong; Zhu, Wei Yong; Duan, Xiao Dong
    Acta Math. Appl. Sinica 24 (2001), no. 4, 527--532, MathSciNet.  
  17. Topological invariance of the Fibonacci sequences of the periodic buds in the general Mandelbrot sets. (Chinese)
    Zhu, Zhi Liang; Cao, Lin; Liu, Xiang Dong; Zhu, Wei Yong
    J. Northeast. Univ. Nat. Sci. 22 (2001), no. 5, 497--500, MathSciNet.  
  18. Self-similar nestification of Bk in general Mandelbrot sets generated by the complex map Z to Zalpha+C (alpha<0). (Chinese)
    Zhu, Zhi Liang; Cao, Lin; Liu, Xiang Dong; Zhu, Wei Yong
    J. Northeast. Univ. Nat. Sci. 22 (2001), no. 4, 373--376, MathSciNet.  
  19. Erratum to ''On the Julia set of the perturbed Mandelbrot map'' [Chaos, Solitons & Fractals 11 (2001) 2067-2073]
    Argyris J.; Karakasidis T.E.; Andreadis I.
    Chaos, Solitons and Fractals, 1 January 2001, vol. 12, no. 1, pp. 196-196(1), Ingenta.  
  20. On the Julia set of the perturbed Mandelbrot map
    Argyris J.; Karakasidis T.E.; Andreadis I.
    Chaos, Solitons and Fractals, October 2000, vol. 11, no. 13, pp. 2067-2073(7), Ingenta.  
  21. The Mandelbrot set is universal.
    McMullen, Curtis T.
    The Mandelbrot set, theme and variations, 1--17, London Math. Soc. Lecture Note Ser., 274, Cambridge Univ. Press, Cambridge, 2000, MathSciNet.  
  22. Trees of visible components in the Mandelbrot set.
    Kauko, Virpi
    Fund. Math. 164 (2000), no. 1, 41--60, MathSciNet.  
  23. Periodic orbits, externals rays and the Mandelbrot set: an expository account.
    Milnor, John
    Géométrie complexe et systèmes dynamiques (Orsay, 1995). Astérisque No. 261 (2000), xiii, 277--333, MathSciNet.  
  24. A generalized Mandelbrot set for bicomplex numbers.
    Rochon, Dominic
    Fractals 8 (2000), no. 4, 355--368, MathSciNet.  
  25. Invariant factors, Julia equivalences and the (abstract) Mandelbrot set.
    Keller, Karsten
    Lecture Notes in Mathematics, 1732. Springer-Verlag, Berlin, 2000. x+206 pp. ISBN: 3-540-67434-9, MathSciNet.  
  26. Local properties of the Mandelbrot set at parabolic points.
    Lei, Tan
    The Mandelbrot set, theme and variations, 133--160, London Math. Soc. Lecture Note Ser., 274, Cambridge Univ. Press, Cambridge, 2000, MathSciNet.  
  27. Baby Mandelbrot sets are born in cauliflowers.
    Douady, Adrien; Buff, Xavier; Devaney, Robert L.; Sentenac, Pierrette
    The Mandelbrot set, theme and variations, 19--36, London Math. Soc. Lecture Note Ser., 274, Cambridge Univ. Press, Cambridge, 2000, MathSciNet.  
  28. The Mandelbrot set and other bifurcation planes. (Catalan)
    Fagella, Núria
    Butl. Soc. Catalana Mat. 15 (2000), no. 1, 35--54, MathSciNet.   
  29. The overlapping embedding topology distribution theorem for general Mandelbrot sets with positive real index number. (Chinese)
    Wang, Xing Yuan; Liu, Xiang Dong; Gu, Shu Sheng; Zhu, Wei Yong
    J. Northeast. Univ. Nat. Sci. 21 (2000), no. 2, 154--157, MathSciNet.  
  30. Modulation dans l'ensemble de Mandelbrot. (French) [Tuning for the Mandelbrot set]
    Haïssinsky, Peter
    The Mandelbrot set, theme and variations, 37--65, London Math. Soc. Lecture Note Ser., 274, Cambridge Univ. Press, Cambridge, 2000, MathSciNet.  
  31. General Mandelbrot sets generated by the complex iteration. (Chinese)
    Zhu, Zhi Liang; Yan, De Jun; Zhu, Wei Yong
    J. Northeast. Univ. Nat. Sci. 21 (2000), no. 5, 469--472, MathSciNet.  
  32. A remark on the polynomial determining superstable points in the Mandelbrot set.
    Sekigawa, Hiroshi
    Computer algebra (Saitama, 1999), 11--13, Josai Math. Monogr., 2, Josai Univ., Sakado, 2000, MathSciNet.  
  33. Rational parameter rays of the Mandelbrot set.
    Schleicher, Dierk
    Géométrie complexe et systèmes dynamiques (Orsay, 1995). Astérisque No. 261 (2000), xiv--xv, 405--443, MathSciNet.  
  34. Generalisation of the Mandelbrot set to integral functions of quaternions.
    Gomatam, Jagannathan; McFarlane, Isobel
    Discrete Contin. Dynam. Systems 5 (1999), no. 1, 107--116, MathSciNet.  
  35. The Mandelbrot set, the Farey tree, and the Fibonacci sequence.
    Devaney, Robert L.
    Amer. Math. Monthly 106 (1999), no. 4, 289--302, Jstor.  
  36. Homeomorphisms between limbs of the Mandelbrot set.  
    Branner, Bodil; Fagella, Núria
    J. Geom. Anal.  9  (1999),  no. 3, 327--390, MathSciNet.  
  37. The evolution of generalized Mandelbrot sets. (Chinese)
    Wang, Xing Yuan; Liu, Xiang Dong; Zhu, Wei Yong
    J. Northeast. Univ. Nat. Sci. 20 (1999), no. 4, 355--358, MathSciNet.  
  38. General Mandelbrot sets constructed from the complex map. (Chinese)
    Wang, Xing Yuan; Liu, Xiang Dong; Zhu, Wei Yong
    Acta Math. Sci. (Chinese) 19 (1999), no. 1, 73--79, MathSciNet.  
  39. Yong An investigation on the fixed topological characters of the Mandelbrot sets of the one-parameter families of rational functions. (Chinese)
    Liu, Xiang Dong; Zhao, Ya Ming; Zhu, Wei
    J. Northeast. Univ. Nat. Sci. 20 (1999), no. 6, 576--579, MathSciNet.  
  40. The Hausdorff dimension of the boundary of the Mandelbrot set and Julia sets.
    Shishikura, Mitsuhiro
    Ann. of Math. (2) 147 (1998), no. 2, 225--267, MathSciNet.
  41. Determination of Mandelbrot set's hyperbolic component centres.
    Álvarez, G.; Romera, M.; Pastor, G.; Montoya, F.
    Chaos Solitons Fractals 9 (1998), no. 12, 1997--2005, MathSciNet.  
  42. Brennan's conjecture and the Mandelbrot set.
    Bara'nski, Krzysztof; Volberg, Alexander; Zdunik, Anna
    Internat. Math. Res. Notices 1998, no. 12, 589--600, MathSciNet.  
  43. An abstract Mandelbrot set algorithm for z^n + c.
    Kern, Albert; Frame, Michael
    Fractals 6 (1998), no. 1, 1--10, MathSciNet.  
  44. Surgery on the limbs of the Mandelbrot set.
    Fagella, Núria
    Progress in holomorphic dynamics, 139--158, Pitman Res. Notes Math. Ser., 387, Longman, Harlow, 1998, MathSciNet.  
  45. The construction of Mandelbrot sets and filled Julia sets by a combined accelerated escape time method. (Chinese)
    Liu, Xiang Dong; Zhu, Wei Yong
    J. Northeast. Univ. Nat. Sci. 18 (1997), no. 4, 413--416, MathSciNet.  
  46. Generalized Mandelbrot sets and Julia sets constructed by interchanging the real and imaginary parts of a complex polynomial. (Chinese)
    Chen, Ning; Zhu, Wei Yong
    J. Northeast. Univ. Nat. Sci. 18 (1997), no. 3, 298--301, MathSciNet.  
  47. Accessibility of external rays of Mandelbrot sets. (Japanese)
    Nakane, Shizuo
    Complex dynamical systems and related areas (Japanese) (Kyoto, 1996). Surikaisekikenkyusho Kokyuroku No. 988 (1997), 8--15, MathSciNet.  
  48. The Mandelbrot set. (Spanish)
    Rubiano, Gustavo
    Bol. Mat. (N.S.) 3 (1996), no. 1, 25--36, MathSciNet.  
  49. On the cusp and the tip of a midget in the Mandelbrot set antenna
    Romera M.; Pastor G.; Montoya F.
    Physics Letters A, 30 September 1996, vol. 221, no. 3, pp. 158-162(5), Ingenta.  
  50. The rigorous solutions of some nonlinear complex dynamical systems. The filled Julia set and the Mandelbrot set.
    Matayoshi, Gousirou; Matayoshi, Seitarou
    Bull. College Sci. Univ. Ryukyus No. 63 (1996), 63--71, MathSciNet.  
  51. Clifford algebraic remark on the Mandelbrot set of two-component number systems.
    Fauser, Bertfried
    Adv. Appl. Clifford Algebras 6 (1996), no. 1, 1--26, MathSciNet.  
  52. Logarithmic capacity and renormalizability for landing on the Mandelbrot set.
    Manning, Anthony
    Bull. London Math. Soc. 28 (1996), no. 5, 521--526, MathSciNet.  
  53. On the cusp and the tip of a midget in the Mandelbrot set antenna.  
    Romera, M.; Pastor, G.; Montoya, F.
    Phys. Lett. A  221  (1996),  no. 3-4, 158--162, MathSciNet.  
  54. Discrete dynamics of quaternionic maps: generalisation of the Mandelbrot set.
    McFarlane, Isobel; Gomatam, Jagannathan
    Proceedings of Dynamic Systems and Applications, Vol. 2 (Atlanta, GA, 1995), 383--390, Dynamic, Atlanta, GA, 1996, MathSciNet.  
  55. Self-similarity of the Mandelbrot set by Milnor's method. (Japanese)
    Kobayashi, Michiyo
    Studies in the theory of computer algebra and its applications (Japanese) (Kyoto, 1995). Surikaisekikenkyusho Kokyuroku No. 941 (1996), 36--43, MathSciNet.  
  56. A Parameterization of the Period 3 Hyperbolic Components of the Mandelbrot Set  
    Dante Giarrusso; Yuval Fisher  
    Proceedings of the American Mathematical Society, Vol. 123, No. 12. (Dec., 1995), pp. 3731-3737, Jstor.  
  57. Can We See the Mandelbrot Set?  
    John Ewing  
    The College Mathematics Journal, Vol. 26, No. 2. (Mar., 1995), pp. 90-99, Jstor.  
  58. Is the Mandelbrot Set Decidable?
    Smale S.
    Mathematical Social Sciences, December 1995, vol. 30, no. 3, pp. 328-328(1), Ingenta.  
  59. Generalization of the Mandelbrot Set: Quaternionic Quadratic Maps
    Gomatam J.; Doyle J.; Steves B.; McFarlane I.
    Chaos, Solitons and Fractals, June 1995, vol. 5, no. 6, pp. 971-986(16), Ingenta.  
  60. The area and diameter of filled-in Julia sets and Mandelbrot sets. (Chinese)
    Yang, Guo Xiao
    Acta Math. Sinica 38 (1995), no. 5, 607--613, MathSciNet.  
  61. The fractal geometry of the Mandelbrot set. 2. How to count and how to add.
    Devaney, Robert L.
    Symposium in Honor of Benoit Mandelbrot (Curaçao, 1995). Fractals 3 (1995), no. 4, 629--640, MathSciNet.  
  62. Quaternionic generalisation of the Mandelbrot set.
    Gomatam, Jagannathan; Doyle, John; Steves, Bonnie
    From Newton to chaos (Cortina d'Ampezzo, 1993), 557--562, NATO Adv. Sci. Inst. Ser. B Phys., 336, Plenum, New York, 1995, MathSciNet.  
  63. On the complement of the Mandelbrot set.
    Levin, G. M.
    Israel J. Math. 88 (1994), no. 1-3, 189--212, MathSciNet.  
  64. The boundary of the Mandelbrot set has Hausdorff dimension two.
    Shishikura, Mitsuhiro
    Complex analytic methods in dynamical systems (Rio de Janeiro, 1992). Astérisque No. 222 (1994), 7, 389--405, MathSciNet.  
  65. The Mandelbrot set and the space of self-similar sets.
    Kameyama, Atsushi
    Dynamical systems and chaos, Vol. 1 (Hachioji, 1994), 126--127, World Sci. Publishing, River Edge, NJ, 1995, MathSciNet.  
  66. The "mystery" of the quadratic Mandelbrot set.
    Metzler, Wolfgang
    Amer. J. Phys. 62 (1994), no. 9, 813--814, MathSciNet.  
  67. Fractal images of generalized Mandelbrot sets.
    Shiah, Aichyun; Ong, Kim-Khoon; Musielak, Zdzislaw E.
    Fractals 2 (1994), no. 1, 111--121, MathSciNet.  
  68. Spirals in the Mandelbrot set. I, II, III.
    Stephenson, John
    Phys. A 205 (1994), no. 4, 634--645, 646--655, 656--664, MathSciNet.  
  69. The Mandelbrot Set and sigma-Automorphisms of Quotients of the Shift  
    Pau Atela  
    Transactions of the American Mathematical Society, Vol. 335, No. 2. (Feb., 1993), pp. 683-703, Jstor.  
  70. Symbolic dynamics for angle-doubling on the circle. II. Symbolic description of the abstract Mandelbrot set
    Bandt C.; Keller K.
    Nonlinearity, 1993, vol. 6, no. 3, pp. 377-392(16), Ingenta.  
  71. The index on the Mandelbrot set.
    Fujimoto, Yoshihisa
    Internat. J. Bifur. Chaos Appl. Sci. Engrg. 3 (1993), no. 5, 1225--1233, MathSciNet.  
  72. Counting hyperbolic components of the Mandelbrot set.
    Lutzky, M.
    Phys. Lett. A 177 (1993), no. 4-5, 338--340, MathSciNet.  
  73. Formulae for cycles in the Mandelbrot set. III.
    Stephenson, John
    Phys. A 190 (1992), no. 1-2, 117--129, MathSciNet.  
  74. Formulae for cycles in the Mandelbrot set. II.
    Stephenson, John; Ridgway, Douglas T.
    Phys. A 190 (1992), no. 1-2, 104--116, MathSciNet.  
  75. Coefficients associated with the reciprocal of the Mandelbrot set.
    Ewing, John H.; Schober, Glenn
    J. Math. Anal. Appl. 170 (1992), no. 1, 104--114, MathSciNet.  
  76. Global analytical structure of the Mandelbrot set and its generalization.
    Huang, Yong-nian
    Sci. China Ser. A 35 (1992), no. 2, 175--185, MathSciNet.  
  77. The area of the Mandelbrot set.
    Ewing, John H.; Schober, Glenn
    Numer. Math. 61 (1992), no. 1, 59--72, MathSciNet.  
  78. Nonanalytic dynamics for generating the Mandelbrot set: a tutorial.
    Metzler, W.; Brelle, A.; Schmidt, K.-D.
    Internat. J. Bifur. Chaos Appl. Sci. Engrg. 2 (1992), no. 2, 241--250, MathSciNet.  
  79. The Orbit Diagram and the Mandelbrot Set  
    Robert L. Devaney  
    The College Mathematics Journal, Vol. 22, No. 1. (Jan., 1991), pp. 23-38, Jstor.  
  80. The Mandelbrot Set in the Classroom  
    Frantz, Marny and Sylvia Lazarnick  
    The Math. Teach., (1991), V. 84, No. 3, pp. 173-177.
  81. The abstract Mandelbrot set---an atlas of abstract Julia sets.
    Keller, Karsten
    Topology, measures, and fractals (Warnemünde, 1991), 76--81, Math. Res., 66, Akademie-Verlag, Berlin, 1992, MathSciNet.  
  82. Formulae for cycles in the Mandelbrot set.
    Stephenson, John
    Current problems in statistical mechanics (Washington, DC, 1991). Phys. A 177 (1991), no. 1-3, 416--420, MathSciNet.  
  83. High-order cycles in the logistic map or centers of cardioids in the Mandelbrot set.
    Stephenson, John
    J. Statist. Phys. 58 (1990), no. 3-4, 579--597, MathSciNet.  
  84. Fuzzy interpretation of the Mandelbrot set drawing.
    Indjic, Drago
    Fuzzy Sets and Systems 37 (1990), no. 1, 117--122, MathSciNet.  
  85. On the coefficients of the mapping to the exterior of the Mandelbrot set.
    Ewing, John H.; Schober, Glenn
    Michigan Math. J. 37 (1990), no. 2, 315--320, MathSciNet.  
  86. Similarity between the Mandelbrot set and Julia sets.
    Tan, Lei
    Comm. Math. Phys. 134 (1990), no. 3, 587--617, MathSciNet.  
  87. The Mandelbrot set for binary numbers.
    Senn, Peter
    Amer. J. Phys. 58 (1990), no. 10, 1018, MathSciNet.  
  88. A Mandelbrot Set whose Boundary is Piecewise Smooth  
    M. F. Barnsley; D. P. Hardin  
    Transactions of the American Mathematical Society, Vol. 315, No. 2. (Oct., 1989), pp. 641-659, Jstor.  
  89. On the Structure of the Mandelbar Set  
    Crowe, W. D. and R. Hasson and P. J. Rippon and P. E. D. Strain-Clark  
    Nonlinearity, (1989), V. 2, pp. 541-553
  90. The beauty and complexity of the Mandelbrot set.
    Hubbard, John
    American Mathematical Society, Providence, RI, 1989. 1 videocassette (NTSC; 1/2 inch; VHS) (73 min.); sd., col. ISBN: 1-878310-02-X, MathSciNet.  
  91. On the dimension of a part of the Mandelbrot set.
    van Damme, Ruud
    J. Phys. A 22 (1989), no. 24, 5249--5258, MathSciNet.  
  92. Self-similarity and hairiness in the Mandelbrot set.
    Milnor, John
    Computers in geometry and topology (Chicago, IL, 1986), 211--257, Lecture Notes in Pure and Appl. Math., 114, Dekker, New York, 1989, MathSciNet.  
  93. On crossing the boundary of the Mandelbrot set.
    Handler, Ivan; Kauffman, Louis H.; Sandin, Dan
    Computers in geometry and topology (Chicago, IL, 1986), 151--177, Lecture Notes in Pure and Appl. Math., 114, Dekker, New York, 1989, MathSciNet.  
  94. Looking at the Mandelbrot Set (in Computer Corner)  
    Mark Bridger  
    The College Mathematics Journal, Vol. 19, No. 4. (Sep., 1988), pp. 353-363, Jstor.  
  95. The Mandelbrot set.
    Branner, Bodil
    Chaos and fractals (Providence, RI, 1988), 75--105, Proc. Sympos. Appl. Math., 39, Amer. Math. Soc., Providence, RI, 1989, MathSciNet.  
  96. Structural stability of the Mandelbrot set.
    Douady, Adrien
    Nonlinear dynamics (Bologna, 1988), 3--10, World Sci. Publishing, Teaneck, NJ, 1989, MathSciNet.  
  97. Mandelbrot set in a nonanalytic map.
    Klein, Michael
    Z. Naturforsch. A 43 (1988), no. 8-9, 819--820, MathSciNet.  
  98. Smooth decomposition of generalized Fatou set explains smooth structure in generalized Mandelbrot set.
    Peinke, J.; Parisi, J.; Röhricht, B.; Rössler, O. E.; Metzler, W.
    Z. Naturforsch. A 43 (1988), no. 1, 14--16, MathSciNet.  
  99. The Mandelbrot set: a paradigm for experimental mathematics.
    Peitgen, Heinz-Otto; Jürgens, Hartmut; Saupe, Dietmar
    Educational computing in mathematics (Rome, 1987), 99--113, p. 284, North-Holland, Amsterdam, 1988, MathSciNet.  
  100. Instability of the Mandelbrot set.
    Peinke, J.; Parisi, J.; Röhricht, B.; Rössler, O. E.
    Z. Naturforsch. A 42 (1987), no. 3, 263--266, MathSciNet.  
  101. Fractal boundary of domain of analyticity of the Feigenbaum function and relation to the Mandelbrot set.
    Nauenberg, Michael
    J. Statist. Phys. 47 (1987), no. 3-4, 459--475, MathSciNet.  
  102. Julia Sets and Mandelbrot-Like Sets Associated With Higher Order Schroder Rational Iteration Functions: A Computer Assisted Study  
    Edward R. Vrscay  
    Mathematics of Computation, Vol. 46, No. 173. (Jan., 1986), pp. 151-169, Jstor.  
  103. Über eine innere Struktur der Mandelbrotmenge. (German) [On an inner structure of the Mandelbrot set]
    Majerowicz, A.
    Anz. Österreich. Akad. Wiss. Math.-Natur. Kl. 123 (1986), 29--31 (1987), MathSciNet.  
  104. Mandelbrot sets for pairs of affine transformations in the plane.
    Vrscay, Edward R.
    J. Phys. A 19 (1986), no. 11, 1985--2001, MathSciNet.  
  105. Algorithms for computing angles in the Mandelbrot set.
    Douady, A.
    Chaotic dynamics and fractals (Atlanta, Ga., 1985), 155--168, Notes Rep. Math. Sci. Engrg., 2, Academic Press, Orlando, FL, 1986, MathSciNet.  
  106. A Multivariate Weierstrass-Mandelbrot Function  
    M. Ausloos; D. H. Berman  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 400, No. 1819. (Aug. 8, 1985), pp. 331-350, Jstor.  
  107. The uniformization of the complement of the Mandelbrot set.
    Jungreis, Irwin
    Duke Math. J. 52 (1985), no. 4, 935--938, MathSciNet.  
  108. Scaling of Mandelbrot sets generated by critical point preperiodicity.  
    Eckmann, J.-P.; Epstein, H.
    Comm. Math. Phys.  101  (1985),  no. 2, 283--289, MathSciNet.  
  109. A Mandelbrot set for pairs of linear maps.
    Barnsley, M. F.; Harrington, A. N.
    Phys. D 15 (1985), no. 3, 421--432, MathSciNet.  
  110. The Mandelbrot set in a model for phase transitions.
    Peitgen, Heinz-Otto; Richter, Peter H.
    Workshop Bonn 1984 (Bonn, 1984), 111--134, Lecture Notes in Math., 1111, Springer, Berlin, 1985, MathSciNet.  
  111. The Fractal Geometry of Mandelbrot  
    Anthony Barcellos  
    The College Mathematics Journal, Vol. 15, No. 2. (Mar., 1984), pp. 98-114, Jstor.  
  112. On the Weierstrass-Mandelbrot Fractal Function  
    M. V. Berry; Z. V. Lewis  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 370, No. 1743. (Apr. 24, 1980), pp. 459-484, Jstor.  

 

 

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