### Complete Bibliography

[1] : “Local contractions of compact metric spaces which are not local isometries,” Proc. Am. Math. Soc. 5 : 4 (1954), pp. 652–654. MR 63028 Zbl 0057.14905 article

[2]
:
Reduction of open mappings.
Ph.D. thesis,
1954.
Advised by G. T. Whyburn.
A short article based on this thesis was published in *Proc. Am. Math. Soc.* **7**:2 (1956).
phdthesis

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

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

[5] : “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

[6] : “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

[7] : “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

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

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

[10] : “Open mappings and solenoids,” Notices Am. Math. Soc. 6 (1959), pp. 867. article

[11]
:
“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

[12]
:
“__\( p \)__-adic groups of transformations,”
Trans. Am. Math. Soc.
99 : 3
(1961),
pp. 488–498.
MR
142682
Zbl
0109.15901
article

[13] : “A useful functor and three famous examples in topology,” Trans. Am. Math. Soc. 106 : 2 (1963), pp. 319–329. MR 146832 Zbl 0113.37803 article

[14]
:
“Examples of __\( p \)__-adic transformation groups,”
Ann. Math. (2)
78 : 1
(July 1963),
pp. 92–106.
These examples originated in an article published in *Bull. Am. Math. Soc.* **66**:5 (1960).
MR
150769
Zbl
0178.26003
article

[15] : “The construction of certain 0-dimensional transformation groups,” Trans. Am. Math. Soc. 129 : 1 (1967), pp. 140–156. MR 212127 Zbl 0169.25903 article

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

[17]
:
“The stable homotopy of __\( K(Z,n) \)__,”
Bol. Soc. Mat. Mex., II. Ser.
11
(1967),
pp. 22–28.
MR
235563
Zbl
0178.57203
article

[18] : “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

[19] : “Compact non-Lie groups,” pp. 366–369 in Proceedings of the conference on transformation groups (New Orleans, 8 May–2 June 1967). Edited by P. S. Mostert. Springer (Berlin), 1968. MR 245724 Zbl 0193.52502 incollection

[20] : “Non-compact Lie group actions,” pp. 441–445 in Proceedings of the conference on transformation groups (New Orleans, 8 May–2 June 1967). Edited by P. S. Mostert. Springer (Berlin), 1968. Zbl 0193.52501 incollection

[21] : “Expanding attractors,” pp. 79–89 in Colloque de topologie différentielle [Differential topology colloquium] (Mont-Aigoual, France, 1–6 June 1969). Edited by C. Godbillon and H. Rosenberg. Université de Montpellier, 1969. MR 287581 Zbl 0208.25801 incollection

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

[23]
:
“The ‘__\( \mathrm{DA} \)__’ maps of Smale and structural stability,”
pp. 329–334
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
264705
Zbl
0213.50303
incollection

[24] : “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

[25] : “Zeta function in global analysis,” pp. 335–339 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 266252 Zbl 0213.50402 incollection

[26] : “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

[27] : “Classification of symbol spaces of finite type,” Bull. Am. Math. Soc. 77 : 3 (May 1971), pp. 439–443. MR 300263 Zbl 0213.50403 article

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

[29] : “Expanding attractors,” pp. 125–127 in Proceedings of the symposium on differential equations and dynamical systems (Coventry, UK, September 1968–August 1969). Edited by D. Chillingworth. Lecture Notes in Mathematics 206. Springer (Berlin), 1971. incollection

[30] : “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

[31] : “Classification of subshifts of finite type,” pp. 281–285 in Recent advances in topological dynamics: Proceedings of a conference in topological dynamics (New Haven, CT, 19–23 June 1972). Edited by A. Beck. Lecture Notes in Mathematics 318. Springer (Berlin), 1973. Conference in honor of Gustav Arnold Hedlund. MR 391060 Zbl 0267.54038 incollection

[32]
:
“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

[33] : “Paul Schweitzer’s solution of the Seifert problem,” pp. 301–304 in Global analysis and its applications (Trieste, Italy, 4 July–25 August 1972), vol. 3. IAEA (Vienna), 1974. MR 436164 Zbl 0306.57010 incollection

[34] : “Strange attractors,” pp. 293–300 in Global analysis and its applications (Trieste, Italy, 4 July–25 August 1972), vol. 3. IAEA (Vienna), 1974. MR 440623 Zbl 0303.58013 incollection

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

[36]
:
“Errata to ‘Classification of subshifts of finite type’,”
Ann. Math. (2)
99 : 2
(1974),
pp. 380–381.
Errata for an article published in *Ann. Math.* **98**:1 (1973).
article

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

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

[39] : “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

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

[41]
:
“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

[42] : “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

[43] : “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

[44]
:
“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

[45] : “The bifurcation space of the Lorenz attractor,” pp. 393–399 in Bifurcation theory and applications in scientific disciplines (New York, 31 October–4 November 1977). Edited by O. Gurel and O. E. Roessler. Annals of the New York Academy of Sciences 316. New York Academy of Sciencies, 1979. MR 556844 Zbl 0472.58016 incollection

[46] : “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

[47]
:
“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

[48]
:
“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

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

[50] : “Attractors, strange and perverse,” pp. 473–495 in Proceedings of the 1981 Shanghai symposium on differential geometry and differential equations (Shanghai and Hefei, China, 20 August–13 September 1981). Edited by C. H. Gu. Scientific Press (Beijing), 1984. MR 825292 Zbl 0679.58029 incollection

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

[52] : “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

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

[54] : “The Newtonian graph of a complex polynomial,” SIAM J. Math. Anal. 19 : 1 (1988), pp. 246–256. MR 924558 Zbl 0653.58013 article

[55] : “The braid index of an algebraic link,” pp. 697–703 in Braids (Santa Cruz, CA, 13–26 July 1986). Edited by J. S. Birman and A. Libgober. Contemporary Mathematics 78. American Mathematical Society (Providence, RI), 1988. MR 975103 Zbl 0673.57003 incollection

[56] : “Geometric theory of dynamical systems,” pp. 67–75 in Workshop on dynamical systems (Trieste, Italy, September 1988). Edited by Z. Coelho and E. Shiels. Pitman Research Notes in Mathematics 221. Longman Scientific & Technical (Harlow, UK), 1990. MR 1096341 Zbl 0688.58029 incollection

[57] : “How big is the intersection of two thick Cantor sets?,” pp. 163–175 in Continuum theory and dynamical systems (Arcata, CA, 17–23 June 1989). Edited by M. Brown. Contemporary Mathematics 117. American Mathematical Society (Providence, RI), 1991. MR 1112813 Zbl 0734.54022 incollection

[58] : “The braid index of generalized cables,” Pac. J. Math. 155 : 2 (1992), pp. 369–375. MR 1178031 Zbl 0811.57013 article

[59]
:
“Strong shift equivalence of matrices in __\( \mathrm{GL}(2,\mathbb{Z}) \)__,”
pp. 445–451
in
Symbolic dynamics and its applications
(New Haven, CT, 28 July–2 August 1991).
Edited by P. Walters.
Contemporary Mathematics 135.
American Mathematical Society (Providence, RI),
1992.
MR
1185108
Zbl
0768.58039
incollection

[60] : “Splitting words and Lorenz braids,” pp. 15–21 in Homoclinic chaos (Brussels, 6–9 May 1991), published as Phys. D 62 : 1–4. Issue edited by P. Gaspard, A. Arneodo, R. Kapral, and C. Sparrow. Elsevier (Amsterdam), 1993. MR 1207414 Zbl 0783.58041 incollection

[61] : “A new zeta function, natural for links,” pp. 270–278 in From topology to computation: Proceedings of the Smalefest (Berkeley, CA, 5–9 August 1990). Edited by M. W. Hirsch, J. E. Marsden, and M. Shub. Springer (New York), 1993. MR 1246126 Zbl 0851.58037 incollection

[62] : “Final panel,” pp. 589–605 in From topology to computation: Proceedings of the Smalefest (Berkeley, CA, 5–9 August 1990). Edited by M. W. Hirsch, J. E. Marsden, and M. Shub. Springer (New York), 1993. MR 1246149 incollection

[63] : “A new Cayley–Hamilton theorem,” pp. 247–251 in Global analysis in modern mathematics (Houston, TX). Edited by K. Uhlenbeck. Publish or Perish, 1993. Symposium in honor of Richard Palais’ sixtieth birthday. MR 1278758 Zbl 0972.15004 incollection

[64] : “Pisot–Vijayarghavan numbers and positive matrices,” pp. 268–277 in Dynamical systems and chaos (Hachioji, Japan, 23–27 May 1994), vol. 1. Edited by N. Aoki, K. Shiraiwa, and Y. Takahashi. World Scientific (River Edge, NJ), 1995. MR 1479944 Zbl 0989.57500 incollection

[65] : “Spaces that won’t say no,” pp. 236–246 in International conference on dynamical systems (Montivideo, Uruguay, 27 March–1 April 1995). Edited by F. Ledrappier, J. Lewowicz, and S. Newhouse. Pitman Research Notes in Mathematics 362. Longman Scientific & Technical (Harlow, UK), 1996. Proceedings dedicated to Ricardo Mañé. MR 1460809 Zbl 0876.57044 incollection

[66] : “The universal templates of Ghrist,” Bull. Am. Math. Soc. (N.S.) 35 : 2 (1998), pp. 145–156. MR 1602073 Zbl 0902.57001 article

[67] : “A note on Livšic’s periodic point theorem,” pp. 223–230 in Topological dynamics and applications (Minneapolis, MN, 5–6 April 1995). Edited by M. G. Nerurkar, D. P. Dokken, and D. B. Ellis. Contemporary Mathematics 215. American Mathematical Society (Providence, RI), 1998. Volume in honor of Robert Ellis. MR 1603197 Zbl 0897.58037 incollection

[68] : “Classification of Denjoy continua,” Topology Appl. 106 : 1 (September 2000), pp. 77–89. MR 1769334 Zbl 0983.37013 article

[69] : “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

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

[71] : 2D continued fractions and positive matrices. Preprint 10-28, University of Texas, 2010. techreport

[72] : Asymptotic structures in Penrose, Tübingen and octagon tilings, 2012. Conference paper. misc

[73] : “Pure discrete spectrum in substitution tiling spaces,” Discrete Contin. Dyn. Syst. 33 : 2 (2013), pp. 579–597. MR 2975125 Zbl 1291.37024 article

[74] : “Anosov and expanding attractors,” Sci. China, Math. 63 : 9 (2020), pp. 1929–1934. MR 4145925 Zbl 1451.37032 article