### An Autobiography

#### Filter the Bibliography List

A note on unstable homeomorphisms,” Proc. Am. Math. Soc. 6 : 2 (1955), pp. 308–309. MR 68211 Zbl 0067.15402 article

: “Local properties of open mappings,” Duke Math. J. 22 : 3 (September 1955), pp. 339–346. MR 75580 Zbl 0065.38201 article

: “Reduction of open mappings,” Proc. Am. Math. Soc. 7 : 2 (1956), pp. 312–318. This is based on the author’s 1954 PhD thesis. MR 77112 Zbl 0073.17901 article

: “The effect of maps upon the dimension of subsets of the domain space,” Proc. Am. Math. Soc. 8 : 3 (1957), pp. 580–583. MR 87920 Zbl 0079.38801 article

: “Local contractions and the size of a compact metric space,” Duke Math. J. 26 : 2 (June 1959), pp. 277–289. MR 105074 Zbl 0085.17002 article

: “Lebesgue area of maps from Hausdorff spaces,” Acta Math. 102 : 1–2 (1959), pp. 33–46. MR 110785 Zbl 0144.30001 article

: “Lebesgue area zero, dimension and fine cyclic elements,” Riv. Mat. Univ. Parma 10 (1959), pp. 131–143. MR 140663 Zbl 0107.27501 article

: “
Examples of __\( p \)__-adic transformation groups,”
Bull. Am. Math. Soc.
66 : 5
(1960),
pp. 392–394.
Full descriptions of these examples are given in an article published in *Ann. Math.* **78**:1 (1963).
MR
123634
Zbl
0096.17202
article

__\( p \)__-adic groups of transformations,”
Trans. Am. Math. Soc.
99 : 3
(1961),
pp. 488–498.
MR
142682
Zbl
0109.15901
article

One-dimensional non-wandering sets,” Topology 6 : 4 (November 1967), pp. 473–487. MR 217808 Zbl 0159.53702 article

: “The zeta function of an attractor,” pp. 155–161 in Conference on the topology of manifolds (East Lansing, MI, 15–17 March 1967). Edited by J. G. Hocking. Complementary Series in Mathematics 13. Prindle, Weber & Schmidt (Boston), 1968. MR 235573 Zbl 0179.51902 incollection

: “Future stability is not generic,” Proc. Am. Math. Soc. 22 : 2 (1969), pp. 483–484. MR 242193 Zbl 0181.51402 article

: “Classification of one dimensional attractors,” pp. 341–361 in Global analysis (Berkeley, CA, 1–26 July 1968). Edited by S.-S. Chern and S. Smale. Proceedings of Symposia in Pure Mathematics 14. American Mathematical Society (Providence, RI), 1970. MR 266227 Zbl 0213.50401 incollection

: “The structure of attractors,” pp. 947–951 in Actes du Congrès International des Mathématiciens [Proceedings of the International Congress of Mathematicians] (Nice, France, 1–10 September 1970), vol. 2. Gauthier-Villars (Paris), 1971. MR 650645 Zbl 0228.58008 incollection

: “Composition of contractions,” Bol. Soc. Brasil. Mat. 2 : 2 (1971), pp. 55–59. MR 367962 Zbl 0335.54026 article

: “Finite stability is not generic,” pp. 451–462 in Dynamical systems (Salvador, Brazil, 26 July–14 August 1971). Edited by M. M. Peixoto. Academic Press (New York), 1973. MR 331430 Zbl 0305.58009 incollection

: “
Classification of subshifts of finite type,”
Ann. Math. (2)
98 : 1
(July 1973),
pp. 120–153.
Errata were published in *Ann. Math.* **99**:2 (1974).
MR
331436
Zbl
0282.58008
article

Expanding attractors,” Inst. Hautes Études Sci. Publ. Math. 43 (1974), pp. 169–203. MR 348794 Zbl 0279.58013 article

: “Entropy and stability,” Topology 14 : 4 (November 1975), pp. 329–338. MR 415680 Zbl 0329.58010 article

: “The qualitative analysis of a difference equation of population growth,” J. Math. Biol. 3 : 1 (1976), pp. 1–4. MR 414147 Zbl 0342.92014 article

: “On the homology of attractors,” Topology 15 : 3 (1976), pp. 259–262. MR 413185 Zbl 0332.58011 article

: “Classification of expanding attractors: An example,” Topology 15 : 4 (1976), pp. 321–323. MR 415682 Zbl 0338.58013 article

: “
The structure of Lorenz attractors,”
pp. 94–112
in
Turbulence seminar
(Berkeley, CA, 1976–1977).
Edited by P. Bernard and T. Ratiu.
Lecture Notes in Mathematics 615.
Springer (Berlin),
1977.
Lecture VII. With appendix “Computer pictures of the Lorenz attractor.”.
This appears to have been adapted for an article published in *Inst. Hautes Études Sci. Publ. Math.* **50** (1979).
MR
461581
Zbl
0363.58005
incollection

Block coding and a zeta function for finite Markov chains,” Proc. London Math. Soc. (3) 35 : 3 (1977), pp. 483–495. MR 466490 Zbl 0383.94011 article

: “Structural stability of Lorenz attractors,” Inst. Hautes Études Sci. Publ. Math. 50 (1979), pp. 59–72. Dedicated to the memory of Rufus Bowen. MR 556582 Zbl 0436.58018 article

: “
The structure of Lorenz attractors,”
Inst. Hautes Études Sci. Publ. Math.
50
(1979),
pp. 73–99.
Dedicated to the memory of Rufus Bowen.
Seemingly based on a lecture published in *Turbulence seminar* (1977).
MR
556583
Zbl
0484.58021
article

Anomalous Anosov flows,” pp. 158–174 in Global theory of dynamical systems (Evanston, IL, 18–22 June 1979). Edited by Z. Nitecki and C. Robinson. Lecture Notes in Mathematics 819. Springer, 1980. MR 591182 Zbl 0463.58021 incollection

: “
Knotted periodic orbits in dynamical systems, I: Lorenz’s equations,”
Topology
22 : 1
(1983),
pp. 47–82.
Part II was published in *Low-dimensional topology* (1983).
MR
682059
Zbl
0507.58038
article

Knotted periodic orbits in dynamical system, II: Knot holders for fibered knots,”
pp. 1–60
in
Low-dimensional topology.
Edited by S. J. Lomonaco__\( Jr. \)__.
Contemporary Mathematics 20.
American Mathematical Society (Providence, RI),
1983.
Part I was published in *Topology* **22**:1 (1983).
MR
718132
Zbl
0526.58043
incollection

Lorenz knots are prime,” Ergodic Theory Dynam. Systems 4 : 1 (March 1984), pp. 147–163. MR 758900 Zbl 0595.58037 article

: “Entropy and knots,” Trans. Am. Math. Soc. 291 : 1 (1985), pp. 241–253. MR 797057 Zbl 0587.58038 article

: “Knotted periodic orbits in suspensions of Smale’s horseshoe: Torus knots and bifurcation sequences,” Arch. Rational Mech. Anal. 90 : 2 (1985), pp. 115–194. MR 798342 Zbl 0593.58027 article

: “Braids and the Jones polynomial,” Trans. Amer. Math. Soc. 303 : 1 (1987), pp. 97–108. MR 896009 Zbl 0647.57002 article

: “The Penrose, Ammann and DA tiling spaces are Cantor set fiber bundles,” Ergodic Theory Dynam. Systems 21 : 6 (2001), pp. 1883–1901. MR 1869076 Zbl 1080.37012 article

: “Tiling spaces are Cantor set fiber bundles,” Ergodic Theory Dynam. Systems 23 : 1 (February 2003), pp. 307–316. MR 1971208 Zbl 1038.37014 article

: “Asymptotic structures in Penrose, Tübingen and octagon tilings, 2012. Conference paper. misc

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