

Bibliography for the
Mandelbrot Set
unabridged
- 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.
- 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.
- On the Mandelbrot set for pairs of linear maps
Bandt, Christoph
Nonlinearity, 2002, vol. 15, no. 4, pp. 1127-1147(21),
Ingenta.
- 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.
- Geometry of the antennas in the Mandelbrot set.
Devaney, R. L.; Rocha, M. Moreno
Fractals 10 (2002), no. 1, 39--46, MathSciNet.
- 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.
- Generalized Mandelbrot sets of switched processes.
(Chinese)
Wang, Xing Yuan
J. Northeast. Univ. Nat. Sci. 23 (2002), no. 5, 432--435,
MathSciNet.
- 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.
- 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.
- Pi in the Mandelbrot set.
Klebanoff, Aaron
Fractals 9 (2001), no. 4, 393--402, MathSciNet.
- 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.
- Extensions of homeomorphisms between limbs of the Mandelbrot
set.
Branner, Bodil; Fagella, Núria
Conform. Geom. Dyn. 5 (2001), 100--139 (electronic),
MathSciNet.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Trees of visible components in the Mandelbrot set.
Kauko, Virpi
Fund. Math. 164 (2000), no. 1, 41--60,
MathSciNet.
- 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.
- A generalized Mandelbrot set for bicomplex numbers.
Rochon, Dominic
Fractals 8 (2000), no. 4, 355--368, MathSciNet.
- 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.
- 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.
- 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.
- The Mandelbrot set and other bifurcation planes. (Catalan)
Fagella, Núria
Butl. Soc. Catalana Mat. 15 (2000), no. 1, 35--54,
MathSciNet.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- The Mandelbrot set, the Farey tree, and the Fibonacci
sequence.
Devaney, Robert L.
Amer. Math. Monthly 106 (1999), no. 4, 289--302,
Jstor.
- Homeomorphisms between limbs of the Mandelbrot
set.
Branner, Bodil; Fagella, Núria
J. Geom. Anal. 9 (1999), no. 3,
327--390, MathSciNet.
- 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.
- 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.
- 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.
- 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.
- 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.
- Brennan's conjecture and the Mandelbrot set.
Bara'nski, Krzysztof; Volberg, Alexander; Zdunik, Anna
Internat. Math. Res. Notices 1998, no. 12, 589--600,
MathSciNet.
- An abstract Mandelbrot set algorithm for z^n + c.
Kern, Albert; Frame, Michael
Fractals 6 (1998), no. 1, 1--10, MathSciNet.
- 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.
- 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.
- 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.
- 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.
- The Mandelbrot set. (Spanish)
Rubiano, Gustavo
Bol. Mat. (N.S.) 3 (1996), no. 1, 25--36,
MathSciNet.
- 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.
- 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.
- 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.
- Logarithmic capacity and renormalizability for landing on the
Mandelbrot set.
Manning, Anthony
Bull. London Math. Soc. 28 (1996), no. 5, 521--526,
MathSciNet.
- 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.
- 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.
- 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.
- 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.
- Can
We See the Mandelbrot Set?
John Ewing
The College Mathematics Journal, Vol. 26, No. 2. (Mar., 1995), pp.
90-99, Jstor.
- Is the Mandelbrot Set Decidable?
Smale S.
Mathematical Social Sciences, December 1995, vol. 30, no. 3, pp.
328-328(1), Ingenta.
- 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.
- 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.
- 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.
- 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.
- On the complement of the Mandelbrot set.
Levin, G. M.
Israel J. Math. 88 (1994), no. 1-3, 189--212,
MathSciNet.
- 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.
- 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.
- The "mystery" of the quadratic Mandelbrot set.
Metzler, Wolfgang
Amer. J. Phys. 62 (1994), no. 9, 813--814,
MathSciNet.
- Fractal images of generalized Mandelbrot sets.
Shiah, Aichyun; Ong, Kim-Khoon; Musielak, Zdzislaw E.
Fractals 2 (1994), no. 1, 111--121, MathSciNet.
- Spirals in the Mandelbrot set. I, II, III.
Stephenson, John
Phys. A 205 (1994), no. 4, 634--645, 646--655, 656--664,
MathSciNet.
- 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.
- 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.
- The index on the Mandelbrot set.
Fujimoto, Yoshihisa
Internat. J. Bifur. Chaos Appl. Sci. Engrg. 3 (1993), no. 5,
1225--1233, MathSciNet.
- Counting hyperbolic components of the Mandelbrot set.
Lutzky, M.
Phys. Lett. A 177 (1993), no. 4-5, 338--340,
MathSciNet.
- Formulae for cycles in the Mandelbrot set. III.
Stephenson, John
Phys. A 190 (1992), no. 1-2, 117--129,
MathSciNet.
- Formulae for cycles in the Mandelbrot set. II.
Stephenson, John; Ridgway, Douglas T.
Phys. A 190 (1992), no. 1-2, 104--116,
MathSciNet.
- 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.
- Global analytical structure of the Mandelbrot set and its
generalization.
Huang, Yong-nian
Sci. China Ser. A 35 (1992), no. 2, 175--185,
MathSciNet.
- The area of the Mandelbrot set.
Ewing, John H.; Schober, Glenn
Numer. Math. 61 (1992), no. 1, 59--72,
MathSciNet.
- 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.
- The
Orbit Diagram and the Mandelbrot Set
Robert L. Devaney
The College Mathematics Journal, Vol. 22, No. 1. (Jan., 1991), pp.
23-38, Jstor.
- The Mandelbrot Set in the Classroom
Frantz, Marny and Sylvia Lazarnick
The Math. Teach., (1991), V. 84, No. 3, pp. 173-177.
- 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.
- 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.
- 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.
- Fuzzy interpretation of the Mandelbrot set drawing.
Indjic, Drago
Fuzzy Sets and Systems 37 (1990), no. 1, 117--122,
MathSciNet.
- 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.
- Similarity between the Mandelbrot set and Julia sets.
Tan, Lei
Comm. Math. Phys. 134 (1990), no. 3, 587--617,
MathSciNet.
- The Mandelbrot set for binary numbers.
Senn, Peter
Amer. J. Phys. 58 (1990), no. 10, 1018,
MathSciNet.
- 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.
- 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
- 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.
- On the dimension of a part of the Mandelbrot set.
van Damme, Ruud
J. Phys. A 22 (1989), no. 24, 5249--5258,
MathSciNet.
- 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.
- 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.
- Looking
at the Mandelbrot Set (in Computer
Corner)
Mark Bridger
The College Mathematics Journal, Vol. 19, No. 4. (Sep., 1988), pp.
353-363, Jstor.
- 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.
- Structural stability of the Mandelbrot set.
Douady, Adrien
Nonlinear dynamics (Bologna, 1988), 3--10, World Sci. Publishing,
Teaneck, NJ, 1989, MathSciNet.
- Mandelbrot set in a nonanalytic map.
Klein, Michael
Z. Naturforsch. A 43 (1988), no. 8-9, 819--820,
MathSciNet.
- 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.
- 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.
- Instability of the Mandelbrot set.
Peinke, J.; Parisi, J.; Röhricht, B.; Rössler, O. E.
Z. Naturforsch. A 42 (1987), no. 3, 263--266,
MathSciNet.
- 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.
- 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.
- 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.
- Mandelbrot sets for pairs of affine transformations in the
plane.
Vrscay, Edward R.
J. Phys. A 19 (1986), no. 11, 1985--2001,
MathSciNet.
- 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.
- 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.
- The uniformization of the complement of the Mandelbrot
set.
Jungreis, Irwin
Duke Math. J. 52 (1985), no. 4, 935--938,
MathSciNet.
- Scaling of Mandelbrot sets generated by critical point
preperiodicity.
Eckmann, J.-P.; Epstein, H.
Comm. Math. Phys. 101 (1985), no.
2, 283--289, MathSciNet.
- A Mandelbrot set for pairs of linear maps.
Barnsley, M. F.; Harrington, A. N.
Phys. D 15 (1985), no. 3, 421--432, MathSciNet.
- 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.
- The
Fractal Geometry of Mandelbrot
Anthony Barcellos
The College Mathematics Journal, Vol. 15, No. 2. (Mar., 1984), pp.
98-114, Jstor.
- 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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