{"id":19,"date":"2012-09-05T11:22:25","date_gmt":"2012-09-05T15:22:25","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/template\/?page_id=19"},"modified":"2026-03-19T08:16:09","modified_gmt":"2026-03-19T12:16:09","slug":"publications","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/block\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\r\n<section class=\"fullwidth-text-block\">\r\n\t<div class=\"container px-0 pt-5\">\r\n\t\t<div class=\"row align-items-start\">\r\n\t\t\t<div class=\"col-12\">\r\n\t\t\t\t\n<h1 class=\"wp-block-heading\">Publications<\/h1>\n\n\n\n\n\n\n\n\n\n<p><strong> 57 publications as listed in <\/strong><strong>Mathematical Review<\/strong><strong>s\u00a0 (with Review Number and Subject Classification)<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>3743986<br>\nBlock, Louis ; Keesling, James(1-FL) ; Rucka, Lenka<br>\n<strong>A generalized definition of topological entropy.<\/strong><br>\nTopology Proc. 52 (2018), 205\u2013218.<br>\n54H20 (37B40 37E05)<\/li>\n<li>3350495<br>\nBlock, Louis ; Keesling, James(1-FL)<br>\n<strong>Topological entropy of transitive maps of the interval.<\/strong><br>\nJ. Difference Equ. Appl. 21 (2015), no. 6, 535\u2013544.<br>\n37B40 (37E05 37E15)<\/li>\n<li>3193424<br>\nBlock, Louis ; Ledis, Dennis(1-FL)<br>\n<strong>Topological conjugacy transitivity, and patterns.<\/strong> (English summary)<br>\n<em>Topology Appl.<\/em> 167 (2014),\u00a0 53\u201361.<br>\n37B20<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=2905287\">2905287<\/a><br>\nBlock, Louis(1-FL); Keesling, James(1-FL); Ledis, Dennis(1-FL)<br>\n<strong>Semi-conjugacies and inverse limit spaces.<\/strong> (English summary)<br>\n<em>J. Difference Equ. Appl.<\/em> 18 (2012), no. 4, 627\u2013645.<br>\n37Bxx<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=2546944\">2546944<\/a><br>\nBlock, Louis(1-FL); Keesling, James(1-FL); Raines, Brian(1-WACO); \u0160timac, Sonja(CT-ZAGR-ECB)<br>\n<strong>Homeomorphisms of unimodal inverse limit spaces with a non-recurrent critical point.<\/strong> (English summary)<br>\n<em>Topology Appl.<\/em> 156 (2009), no. 15, 2417&#8211;2425.<br>\n37B45 (54F15 54H20)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=2280661\">2280661<\/a><br>\nBlock, Louis(1-FL); Jakimovik, Slagjana(1-FL); Keesling, James(1-FL)<br>\n<strong>On Ingram&#8217;s conjecture.<\/strong> (English summary)<br>\nSpring Topology and Dynamical Systems Conference.<br>\n<em>Topology Proc.<\/em> 30 (2006), no. 1, 95&#8211;114.<br>\n54F15 (37B45 37E05 54H20)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=2237463\">2237463<\/a><br>\nBlock, Louis(1-FL); Keesling, James(1-FL); Misiurewicz, Micha\\l(1-INPI)<br>\n<strong> Strange adding machines. <\/strong> <strong>(English. English summary)<\/strong><br>\n<em>Ergodic Theory Dynam. Systems<\/em> <strong> 26 <\/strong> (2006), no. 3, 673&#8211;682.<br>\n37Exx (37Bxx)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=2214878\">2214878<\/a><br>\nBlock, Louis(1-FL); Jakimovik, Slagjana(FMD-SKOP); Kailhofer, Lois; Keesling, James(1-FL)<br>\n<strong> On the classification of inverse limits of tent maps. <\/strong> <strong>(English. English summary)<\/strong><br>\n<em>Fund. Math.<\/em> 187  (2005), no. 2, 171&#8211;192.<br>\n54F15 (37Bxx 37Exx)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=2110252\">2110252<\/a><br>\nBlock, Louis(1-FL); Keesling, James(1-FL)<br>\n<strong> Topological entropy and adding machine maps. <\/strong> <strong>(English. English summary)<\/strong><br>\n<em>Houston J. Math.<\/em> <strong> 30 <\/strong> (2004), no. 4, 1103&#8211;1113 (electronic).<br>\n37B40 (54C70 54H20)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=2074913\">2074913<\/a><br>\nBlock, Louis(1-FL); Keesling, James(1-FL)<br>\n<strong> A characterization of adding machine maps. <\/strong> <strong>(English. English summary)<\/strong><br>\n<em>Topology Appl.<\/em> <strong> 140 <\/strong> (2004), no. 2-3, 151&#8211;161.<br>\n37B20 (54H11 54H20)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1992660\">1992660<\/a><br>\nBlock, Louis(1-FL); Coven, Ethan M.(1-WESL); Geller, William(1-INPI); Hubner, Kristin(1-WESL)<br>\n<strong> Minimal combinatorial models for maps of an interval with a given set of periods. <\/strong> <strong>(English. English summary)<\/strong><br>\n<em>Ergodic Theory Dynam. Systems<\/em> <strong> 23 <\/strong> (2003), no. 3, 707&#8211;728.<br>\n37E05 (37E15)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1919292\">1919292<\/a><br>\nBlock, Louis(1-FL); Keesling, James(1-FL)<br>\n<strong> Iterated function systems and the code space. <\/strong> <strong>(English. English summary)<\/strong><br>\nProceedings of the International Conference on Topology and its Applications (Yokohama, 1999).<br>\n<em>Topology Appl.<\/em> <strong> 122 <\/strong> (2002), no. 1-2, 65&#8211;75.<br>\n37B10 (37A35 37C45)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1823960\">1823960<\/a><br>\nBlock, L.(1-FL); Keesling, J.(1-FL); Uspenskij, V. V.(1-OH)<br>\n<strong> Inverse limits which are the pseudoarc. <\/strong> <strong>(English. English summary)<\/strong><br>\n<em>Houston J. Math.<\/em> <strong> 26 <\/strong> (2000), no. 4, 629&#8211;638.<br>\n54H20 (54B35 54C35 54C70)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1611285\">1611285<\/a><br>\nBlock, Louis(1-FL); Keesling, James(1-FL)<br>\n<strong> On homeomorphisms of $(<strong> I<\/strong>,f)$ having topological entropy zero. <\/strong> <strong>(English. English summary)<\/strong><br>\nProceedings of the International Conference on Set-theoretic Topology and its Applications, Part 2 (Matsuyama, 1994).<br>\n<em>Topology Appl.<\/em> <strong> 84 <\/strong> (1998), no. 1-3, 121&#8211;137.<br>\n54H20 (54C70)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1415882\">1415882<\/a><br>\nBlock, Louis(1-FL); Blokh, Alexander M.(1-AL2); Coven, Ethan M.(1-WESL)<br>\n<strong> Zero entropy permutations. <\/strong> <strong>(English. English summary)<\/strong><br>\nReprint of the paper reviewed in MR 97a:58147. World Sci. Ser. Nonlinear Sci. Ser. B Spec. Theme Issues Proc., 8,<br>\n<em> Thirty years after Sharkovski\\u\\i&#8217;s theorem: new perspectives (Murcia, 1994), <\/em> 69&#8211;75,<br>\n<em>World Sci. Publishing, River Edge, NJ,<\/em> 1995.<br>\n58F20<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1372956\">1372956<\/a><br>\nBlock, Louis(1-FL); Galeeva, Roza(1-NW); Keesling, James(1-FL)<br>\n<strong> Continuity of entropy for a two-parameter family of bimodal maps. <\/strong> <strong>(English. English summary)<\/strong><br>\n<em> Dynamical systems and applications, <\/em> 101&#8211;116,<br>\nWorld Sci. Ser. Appl. Anal., 4,<br>\n<em>World Sci. Publishing, River Edge, NJ,<\/em> 1995.<br>\n58F03 (28D20 58F20)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1361921\">1361921<\/a><br>\nBlock, Louis(1-FL); Blokh, Alexander M.(1-AL2); Coven, Ethan M.(1-WESL)<br>\n<strong> Zero entropy permutations. <\/strong> <strong>(English. English summary)<\/strong><br>\nProceedings of the Conference &#8220;Thirty Years after Sharkovski\\u\\i&#8217;s Theorem: New Perspectives&#8221; (Murcia, 1994).<br>\n<em>Internat. J. Bifur. Chaos Appl. Sci. Engrg.<\/em> <strong> 5 <\/strong> (1995), no. 5, 1331&#8211;1337.<br>\n58F20<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1326843\">1326843<\/a><br>\nBlock, Louis(1-FL); Schumann, Shannon(1-KY)<br>\n<strong> Inverse limit spaces, periodic points, and arcs. <\/strong> <strong>(English. English summary)<\/strong><br>\n<em> Continua (Cincinnati, OH, 1994), <\/em> 197&#8211;205,<br>\nLecture Notes in Pure and Appl. Math., 170,<br>\n<em>Dekker, New York,<\/em> 1995.<br>\n54H20 (54B35 58F03)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1176513\">1176513<\/a><br>\nBlock, L. S.(1-FL); Coppel, W. A.(5-ANUIP-TP)<br>\n<strong> Dynamics in one dimension. <\/strong><br>\nLecture Notes in Mathematics, 1513.<br>\n<em>Springer-Verlag, Berlin,<\/em> 1992. viii+249 pp. <em>ISBN<\/em> 3-540-55309-6<br>\n58F13 (26A18 54H20 58F03)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1151977\">1151977<\/a><br>\nBlock, Louis(1-FL); Keesling, James(1-FL)<br>\n<strong> Computing the topological entropy of maps of the interval with three monotone pieces. <\/strong><br>\n<em>J. Statist. Phys.<\/em> <strong> 66 <\/strong> (1992), no. 3-4, 755&#8211;774.<br>\n58F08 (54C70 58F11)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1102718\">1102718<\/a><br>\nBlock, Louis(1-FL); Coven, Ethan M.(1-WESL)<br>\n<strong> Approximating entropy of maps of the interval. <\/strong><br>\n<em> Dynamical systems and ergodic theory (Warsaw, 1986), <\/em> 237&#8211;241,<br>\nBanach Center Publ., 23,<br>\n<em>PWN, Warsaw,<\/em> 1989.<br>\n58F20 (54H20)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=1002478\">1002478<\/a><br>\nBlock, Louis(1-FL); Keesling, James(1-FL); Li, Shi Hai(1-FL); Peterson, Kevin(1-FL)<br>\n<strong> An improved algorithm for computing topological entropy. <\/strong><br>\n<em>J. Statist. Phys.<\/em> <strong> 55 <\/strong> (1989), no. 5-6, 929&#8211;939.<br>\n58F08 (54C70 58F11 58F13)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=974779\">974779<\/a><br>\nBlock, Louis(1-FL); Coven, Ethan M.(1-WESL); Jonker, Leo(3-QEN); Misiurewicz, Micha\\l(PL-WASW)<br>\n<strong> Primary cycles on the circle. <\/strong><br>\n<em>Trans. Amer. Math. Soc.<\/em> <strong> 311 <\/strong> (1989), no. 1, 323&#8211;335.<br>\n58F08 (26A18 54H20)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=896788\">896788<\/a><br>\nBlock, Louis(1-FL); Hart, David(1-CINC)<br>\n<strong> Orbit types for maps of the interval. <\/strong><br>\n<em>Ergodic Theory Dynam. Systems<\/em> <strong> 7 <\/strong> (1987), no. 2, 161&#8211;164.<br>\n58F20 (26A18 54H20 58F08)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=871677\">871677<\/a><br>\nBlock, Louis(1-FL); Coven, Ethan M.(1-WESL)<br>\n<strong> Topological conjugacy and transitivity for a class of piecewise monotone maps of the interval. <\/strong><br>\n<em>Trans. Amer. Math. Soc.<\/em> <strong> 300 <\/strong> (1987), no. 1, 297&#8211;306.<br>\n58F08 (54H20 58F20)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=863198\">863198<\/a><br>\nBlock, Louis(1-FL); Coven, Ethan M.(1-WESL)<br>\n<strong> $\\omega$-limit sets for maps of the interval. <\/strong><br>\n<em>Ergodic Theory Dynam. Systems<\/em> <strong> 6 <\/strong> (1986), no. 3, 335&#8211;344.<br>\n58F20 (54H20 58F08)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=858010\">858010<\/a><br>\nBlock, Louis(1-FL)<br>\n<strong> Dynamical complexity of maps of the interval. <\/strong><br>\n<em> Chaotic dynamics and fractals (Atlanta, Ga., 1985), <\/em> 113&#8211;122,<br>\nNotes Rep. Math. Sci. Engrg., 2,<br>\n<em>Academic Press, Orlando, FL,<\/em> 1986.<br>\n58F08 (58F13)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=857952\">857952<\/a><br>\nBlock, Louis(1-FL); Coven, Ethan M.(1-WESL)<br>\n<strong> Maps of the interval with every point chain recurrent. <\/strong><br>\n<em>Proc. Amer. Math. Soc.<\/em> <strong> 98 <\/strong> (1986), no. 3, 513&#8211;515.<br>\n54H20 (34C35 54E45 58F08 58F20)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=854086\">854086<\/a><br>\nBlock, L. S.(1-FL); Coppel, W. A.(5-ANU)<br>\n<strong> Stratification of continuous maps of an interval. <\/strong><br>\n<em>Trans. Amer. Math. Soc.<\/em> <strong> 297 <\/strong> (1986), no. 2, 587&#8211;604.<br>\n58F20 (26A18 54C70 54H20)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=805832\">805832<\/a><br>\nBlock, Louis(1-FL); Franke, John E.(1-NCS)<br>\n<strong> The chain recurrent set, attractors, and explosions. <\/strong><br>\n<em>Ergodic Theory Dynam. Systems<\/em> <strong> 5 <\/strong> (1985), no. 3, 321&#8211;327.<br>\n58F12 (54H20 58F25)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=792292\">792292<\/a><br>\nBlock, Louis(1-FL); Franke, John E.(1-NCS)<br>\n<strong> Isolated chain recurrent points for one-dimensional maps. <\/strong><br>\n<em>Proc. Amer. Math. Soc.<\/em> <strong> 94 <\/strong> (1985), no. 4, 728&#8211;730.<br>\n58F08 (54H20 58F20)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=760951\">760951<\/a><br>\nBlock, Louis(1-FL); Franke, John E.(1-NCS)<br>\n<strong> The chain recurrent set for maps of the circle. <\/strong><br>\n<em>Proc. Amer. Math. Soc.<\/em> <strong> 92 <\/strong> (1984), no. 4, 597&#8211;603.<br>\n58F12 (54H20 58F20)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=741488\">741488<\/a><br>\nBlock, Louis(1-FL); Hart, David(1-FL)<br>\n<strong> Dynamics and bifurcation in one dimension. <\/strong><br>\n<em> Trends in theory and practice of nonlinear differential equations (Arlington, Tex., 1982), <\/em> 77&#8211;79,<br>\nLecture Notes in Pure and Appl. Math., 90,<br>\n<em>Dekker, New York,<\/em> 1984.<br>\n58F08 (58F14)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=753921\">753921<\/a><br>\nBlock, Louis(1-FL); Hart, David(1-FL)<br>\n<strong> Stratification of the space of unimodal interval maps. <\/strong><br>\n<em>Ergodic Theory Dynam. Systems<\/em> <strong> 3 <\/strong> (1983), no. 4, 533&#8211;539.<br>\n58F20 (54H20)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=753920\">753920<\/a><br>\nBlock, Louis(1-FL); Coven, Ethan(1-WESL); Mulvey, Irene; Nitecki, Zbigniew(1-TUFT)<br>\n<strong> Homoclinic and nonwandering points for maps of the circle. <\/strong><br>\n<em>Ergodic Theory Dynam. Systems<\/em> <strong> 3 <\/strong> (1983), no. 4, 521&#8211;532.<br>\n58F20 (28D05 54H20)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=687650\">687650<\/a><br>\nBlock, Louis; Franke, John E.<br>\n<strong> The chain recurrent set for maps of the interval. <\/strong><br>\n<em>Proc. Amer. Math. Soc.<\/em> <strong> 87 <\/strong> (1983), no. 4, 723&#8211;727.<br>\n58F22 (54H20)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=695273\">695273<\/a><br>\nBlock, Louis<br>\n<strong> Critical points of one parameter families of maps of the interval. <\/strong><br>\n<em>Proc. Amer. Math. Soc.<\/em> <strong> 88 <\/strong> (1983), no. 2, 347&#8211;350.<br>\n58F14 (58F20)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=693970\">693970<\/a><br>\nBlock, Louis; Hart, David<br>\n<strong> The bifurcation of homoclinic orbits of maps of the interval. <\/strong><br>\n<em>Ergodic Theory Dynamical Systems<\/em> <strong> 2 <\/strong> (1982), no. 2, 131&#8211;138 (1983).<br>\n58F14 (58F08)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=693969\">693969<\/a><br>\nBlock, Louis; Hart, David<br>\n<strong> The bifurcation of periodic orbits of one-dimensional maps. <\/strong><br>\n<em>Ergodic Theory Dynamical Systems<\/em> <strong> 2 <\/strong> (1982), no. 2, 125&#8211;129 (1983).<br>\n58F14 (58F08)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=661815\">661815<\/a><br>\nBlock, Louis; Coven, Ethan M.; Nitecki, Zbigniew<br>\n<strong> Minimizing topological entropy for maps of the circle. <\/strong><br>\n<em>Ergodic Theory Dynamical Systems<\/em> <strong> 1 <\/strong> (1981), no. 2, 145&#8211;149.<br>\n58F11 (28D20 54C70)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=612745\">612745<\/a><br>\nBlock, Louis<br>\n<strong> Periods of periodic points of maps of the circle which have a fixed point. <\/strong><br>\n<em>Proc. Amer. Math. Soc.<\/em> <strong> 82 <\/strong> (1981), no. 3, 481&#8211;486.<br>\n58F20 (54H20)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=593484\">593484<\/a><br>\nBlock, Louis<br>\n<strong> Stability of periodic orbits in the theorem of \\v Sarkovskii. <\/strong><br>\n<em>Proc. Amer. Math. Soc.<\/em> <strong> 81 <\/strong> (1981), no. 2, 333&#8211;336.<br>\n58F20 (28D05)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=574798\">574798<\/a><br>\nBlock, Louis<br>\n<strong> Periodic orbits of continuous mappings of the circle. <\/strong><br>\n<em>Trans. Amer. Math. Soc.<\/em> <strong> 260 <\/strong> (1980), no. 2, 553&#8211;562.<br>\n54H20 (58F20)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=591173\">591173<\/a><br>\nBlock, Louis; Guckenheimer, John; Misiurewicz, Micha\\l; Young, Lai Sang<br>\n<strong> Periodic points and topological entropy of one-dimensional maps. <\/strong><br>\n<em> Global theory of dynamical systems (Proc. Internat. Conf., Northwestern Univ., Evanston, Ill., 1979), <\/em> pp. 18&#8211;34,<br>\nLecture Notes in Math., 819,<br>\n<em>Springer, Berlin,<\/em> 1980.<br>\n58F20 (28D20 54C70)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=539925\">539925<\/a><br>\nBlock, Louis<br>\n<strong> Simple periodic orbits of mappings of the initial. <\/strong><br>\n<em>Trans. Amer. Math. Soc.<\/em> <strong> 254 <\/strong> (1979), 391&#8211;398.<br>\n58F20 (28D20 54H20)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=509258\">509258<\/a><br>\nBlock, Louis<br>\n<strong> Homoclinic points of mappings of the interval. <\/strong><br>\n<em>Proc. Amer. Math. Soc.<\/em> <strong> 72 <\/strong> (1978), no. 3, 576&#8211;580.<br>\n58F20 (28D20 54H20)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=474240\">474240<\/a><br>\nBlock, Louis<br>\n<strong> Continuous maps of the interval with finite nonwandering set. <\/strong><br>\n<em>Trans. Amer. Math. Soc.<\/em> <strong> 240 <\/strong> (1978), 221&#8211;230.<br>\n54H20 (58F20)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=461578\">461578<\/a><br>\nBlock, Louis<br>\n<strong> Topological entropy at an $u$-explosion. <\/strong><br>\n<em>Trans. Amer. Math. Soc.<\/em> <strong> 235 <\/strong> (1978), 323&#8211;330.<br>\n58F10 (54H20)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=467841\">467841<\/a><br>\nBlock, Louis<br>\n<strong> Mappings of the interval with finitely many periodic points have zero entropy. <\/strong><br>\n<em>Proc. Amer. Math. Soc.<\/em> <strong> 67 <\/strong> (1977), no. 2, 357&#8211;360.<br>\n58F20 (54H20)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=461582\">461582<\/a><br>\nBlock, Louis<br>\n<strong> An example where topological entropy is continuous. <\/strong><br>\n<em>Trans. Amer. Math. Soc.<\/em> <strong> 231 <\/strong> (1977), no. 1, 201&#8211;213.<br>\n58F15 (54H20)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=436220\">436220<\/a><br>\nBlock, Louis<br>\n<strong> The periodic points of Morse-Smale endomorphisms of the circle. <\/strong><br>\n<em>Trans. Amer. Math. Soc.<\/em> <strong> 226 <\/strong> (1977), 77&#8211;88.<br>\n58F20<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=413186\">413186<\/a><br>\nBlock, Louis<br>\n<strong> Morse-Smale endomorphisms of the circle. <\/strong><br>\n<em>Proc. Amer. Math. Soc.<\/em> <strong> 48 <\/strong> (1975), 457&#8211;463.<br>\n58F20 (58F15)<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=388457\">388457<\/a><br>\nBlock, Louis<br>\n<strong> Diffeomorphisms obtained from endomorphisms. <\/strong><br>\n<em>Trans. Amer. Math. Soc.<\/em> <strong> 214 <\/strong> (1975), 403&#8211;413.<br>\n58F20<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=367953\">367953<\/a><br>\nBlock, Louis<br>\n<strong> Noncontinuity of topological entropy of maps of the Cantor set and of the interval. <\/strong><br>\n<em>Proc. Amer. Math. Soc.<\/em> <strong> 50 <\/strong> (1975), 388&#8211;393.<br>\n54H20<\/li>\n<li>2623452<br>\nBlock, Louis<br>\nBIFURCATIONS OF ENDOMORPHISMS OF 1-SPHERE. Thesis (Ph.D.)\u2013Northwestern University. 1973. 64 pp<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=358867\">358867<\/a><br>\nBlock, Louis; Franke, John<br>\n<strong> Existence of periodic points for maps of $S\\sp{1}$. <\/strong><br>\n<em>Invent. Math.<\/em> <strong> 22 <\/strong> (1973\/74), 69&#8211;73.<br>\n58F20<\/li>\n<li><a href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=309154\">309154<\/a><br>\nBlock, Louis; Franke, John<br>\n<strong> A classification of the structurally stable contracting endomorphisms of $S\\sp{1}$. <\/strong><br>\n<em>Proc. Amer. Math. Soc.<\/em> <strong> 36 <\/strong> (1972), 597&#8211;602.<br>\n58F10<\/li><\/ul>\n\n\n\n\n\n\n\n<p>Last update made Sun Sep 2 07:00:17 EDT 2012<\/p>\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":11,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-19","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/block\/wp-json\/wp\/v2\/pages\/19","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/block\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/block\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/block\/wp-json\/wp\/v2\/users\/11"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/block\/wp-json\/wp\/v2\/comments?post=19"}],"version-history":[{"count":10,"href":"https:\/\/people.clas.ufl.edu\/block\/wp-json\/wp\/v2\/pages\/19\/revisions"}],"predecessor-version":[{"id":2646,"href":"https:\/\/people.clas.ufl.edu\/block\/wp-json\/wp\/v2\/pages\/19\/revisions\/2646"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/block\/wp-json\/wp\/v2\/media?parent=19"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}