Block, Louis

57 publications as listed in Mathematical Reviews  (with Review Number and Subject Classification)

• 3743986
  Block, Louis ; Keesling, James(1-FL) ; Rucka, Lenka
  A generalized definition of topological entropy.
  Topology Proc. 52 (2018), 205–218.
  54H20 (37B40 37E05)
• 3350495
  Block, Louis ; Keesling, James(1-FL)
  Topological entropy of transitive maps of the interval.
  J. Difference Equ. Appl. 21 (2015), no. 6, 535–544.
  37B40 (37E05 37E15)
• 3193424
  Block, Louis ; Ledis, Dennis(1-FL)
  Topological conjugacy transitivity, and patterns. (English summary)
  Topology Appl. 167 (2014),  53–61.
  37B20
• 2905287
  Block, Louis(1-FL); Keesling, James(1-FL); Ledis, Dennis(1-FL)
  Semi-conjugacies and inverse limit spaces. (English summary)
  J. Difference Equ. Appl. 18 (2012), no. 4, 627–645.
  37Bxx
• 2546944
  Block, Louis(1-FL); Keesling, James(1-FL); Raines, Brian(1-WACO); Štimac, Sonja(CT-ZAGR-ECB)
  Homeomorphisms of unimodal inverse limit spaces with a non-recurrent critical point. (English summary)
  Topology Appl. 156 (2009), no. 15, 2417–2425.
  37B45 (54F15 54H20)
• 2280661
  Block, Louis(1-FL); Jakimovik, Slagjana(1-FL); Keesling, James(1-FL)
  On Ingram’s conjecture. (English summary)
  Spring Topology and Dynamical Systems Conference.
  Topology Proc. 30 (2006), no. 1, 95–114.
  54F15 (37B45 37E05 54H20)
• 2237463
  Block, Louis(1-FL); Keesling, James(1-FL); Misiurewicz, Micha\l(1-INPI)
  Strange adding machines. (English. English summary)
  Ergodic Theory Dynam. Systems 26 (2006), no. 3, 673–682.
  37Exx (37Bxx)
• 2214878
  Block, Louis(1-FL); Jakimovik, Slagjana(FMD-SKOP); Kailhofer, Lois; Keesling, James(1-FL)
  On the classification of inverse limits of tent maps. (English. English summary)
  Fund. Math. 187 (2005), no. 2, 171–192.
  54F15 (37Bxx 37Exx)
• 2110252
  Block, Louis(1-FL); Keesling, James(1-FL)
  Topological entropy and adding machine maps. (English. English summary)
  Houston J. Math. 30 (2004), no. 4, 1103–1113 (electronic).
  37B40 (54C70 54H20)
• 2074913
  Block, Louis(1-FL); Keesling, James(1-FL)
  A characterization of adding machine maps. (English. English summary)
  Topology Appl. 140 (2004), no. 2-3, 151–161.
  37B20 (54H11 54H20)
• 1992660
  Block, Louis(1-FL); Coven, Ethan M.(1-WESL); Geller, William(1-INPI); Hubner, Kristin(1-WESL)
  Minimal combinatorial models for maps of an interval with a given set of periods. (English. English summary)
  Ergodic Theory Dynam. Systems 23 (2003), no. 3, 707–728.
  37E05 (37E15)
• 1919292
  Block, Louis(1-FL); Keesling, James(1-FL)
  Iterated function systems and the code space. (English. English summary)
  Proceedings of the International Conference on Topology and its Applications (Yokohama, 1999).
  Topology Appl. 122 (2002), no. 1-2, 65–75.
  37B10 (37A35 37C45)
• 1823960
  Block, L.(1-FL); Keesling, J.(1-FL); Uspenskij, V. V.(1-OH)
  Inverse limits which are the pseudoarc. (English. English summary)
  Houston J. Math. 26 (2000), no. 4, 629–638.
  54H20 (54B35 54C35 54C70)
• 1611285
  Block, Louis(1-FL); Keesling, James(1-FL)
  On homeomorphisms of $( I,f)$ having topological entropy zero. (English. English summary)
  Proceedings of the International Conference on Set-theoretic Topology and its Applications, Part 2 (Matsuyama, 1994).
  Topology Appl. 84 (1998), no. 1-3, 121–137.
  54H20 (54C70)
• 1415882
  Block, Louis(1-FL); Blokh, Alexander M.(1-AL2); Coven, Ethan M.(1-WESL)
  Zero entropy permutations. (English. English summary)
  Reprint of the paper reviewed in MR 97a:58147. World Sci. Ser. Nonlinear Sci. Ser. B Spec. Theme Issues Proc., 8,
  Thirty years after Sharkovski\u\i’s theorem: new perspectives (Murcia, 1994), 69–75,
  World Sci. Publishing, River Edge, NJ, 1995.
  58F20
• 1372956
  Block, Louis(1-FL); Galeeva, Roza(1-NW); Keesling, James(1-FL)
  Continuity of entropy for a two-parameter family of bimodal maps. (English. English summary)
  Dynamical systems and applications, 101–116,
  World Sci. Ser. Appl. Anal., 4,
  World Sci. Publishing, River Edge, NJ, 1995.
  58F03 (28D20 58F20)
• 1361921
  Block, Louis(1-FL); Blokh, Alexander M.(1-AL2); Coven, Ethan M.(1-WESL)
  Zero entropy permutations. (English. English summary)
  Proceedings of the Conference “Thirty Years after Sharkovski\u\i’s Theorem: New Perspectives” (Murcia, 1994).
  Internat. J. Bifur. Chaos Appl. Sci. Engrg. 5 (1995), no. 5, 1331–1337.
  58F20
• 1326843
  Block, Louis(1-FL); Schumann, Shannon(1-KY)
  Inverse limit spaces, periodic points, and arcs. (English. English summary)
  Continua (Cincinnati, OH, 1994), 197–205,
  Lecture Notes in Pure and Appl. Math., 170,
  Dekker, New York, 1995.
  54H20 (54B35 58F03)
• 1176513
  Block, L. S.(1-FL); Coppel, W. A.(5-ANUIP-TP)
  Dynamics in one dimension.
  Lecture Notes in Mathematics, 1513.
  Springer-Verlag, Berlin, 1992. viii+249 pp. ISBN 3-540-55309-6
  58F13 (26A18 54H20 58F03)
• 1151977
  Block, Louis(1-FL); Keesling, James(1-FL)
  Computing the topological entropy of maps of the interval with three monotone pieces.
  J. Statist. Phys. 66 (1992), no. 3-4, 755–774.
  58F08 (54C70 58F11)
• 1102718
  Block, Louis(1-FL); Coven, Ethan M.(1-WESL)
  Approximating entropy of maps of the interval.
  Dynamical systems and ergodic theory (Warsaw, 1986), 237–241,
  Banach Center Publ., 23,
  PWN, Warsaw, 1989.
  58F20 (54H20)
• 1002478
  Block, Louis(1-FL); Keesling, James(1-FL); Li, Shi Hai(1-FL); Peterson, Kevin(1-FL)
  An improved algorithm for computing topological entropy.
  J. Statist. Phys. 55 (1989), no. 5-6, 929–939.
  58F08 (54C70 58F11 58F13)
• 974779
  Block, Louis(1-FL); Coven, Ethan M.(1-WESL); Jonker, Leo(3-QEN); Misiurewicz, Micha\l(PL-WASW)
  Primary cycles on the circle.
  Trans. Amer. Math. Soc. 311 (1989), no. 1, 323–335.
  58F08 (26A18 54H20)
• 896788
  Block, Louis(1-FL); Hart, David(1-CINC)
  Orbit types for maps of the interval.
  Ergodic Theory Dynam. Systems 7 (1987), no. 2, 161–164.
  58F20 (26A18 54H20 58F08)
• 871677
  Block, Louis(1-FL); Coven, Ethan M.(1-WESL)
  Topological conjugacy and transitivity for a class of piecewise monotone maps of the interval.
  Trans. Amer. Math. Soc. 300 (1987), no. 1, 297–306.
  58F08 (54H20 58F20)
• 863198
  Block, Louis(1-FL); Coven, Ethan M.(1-WESL)
  $\omega$-limit sets for maps of the interval.
  Ergodic Theory Dynam. Systems 6 (1986), no. 3, 335–344.
  58F20 (54H20 58F08)
• 858010
  Block, Louis(1-FL)
  Dynamical complexity of maps of the interval.
  Chaotic dynamics and fractals (Atlanta, Ga., 1985), 113–122,
  Notes Rep. Math. Sci. Engrg., 2,
  Academic Press, Orlando, FL, 1986.
  58F08 (58F13)
• 857952
  Block, Louis(1-FL); Coven, Ethan M.(1-WESL)
  Maps of the interval with every point chain recurrent.
  Proc. Amer. Math. Soc. 98 (1986), no. 3, 513–515.
  54H20 (34C35 54E45 58F08 58F20)
• 854086
  Block, L. S.(1-FL); Coppel, W. A.(5-ANU)
  Stratification of continuous maps of an interval.
  Trans. Amer. Math. Soc. 297 (1986), no. 2, 587–604.
  58F20 (26A18 54C70 54H20)
• 805832
  Block, Louis(1-FL); Franke, John E.(1-NCS)
  The chain recurrent set, attractors, and explosions.
  Ergodic Theory Dynam. Systems 5 (1985), no. 3, 321–327.
  58F12 (54H20 58F25)
• 792292
  Block, Louis(1-FL); Franke, John E.(1-NCS)
  Isolated chain recurrent points for one-dimensional maps.
  Proc. Amer. Math. Soc. 94 (1985), no. 4, 728–730.
  58F08 (54H20 58F20)
• 760951
  Block, Louis(1-FL); Franke, John E.(1-NCS)
  The chain recurrent set for maps of the circle.
  Proc. Amer. Math. Soc. 92 (1984), no. 4, 597–603.
  58F12 (54H20 58F20)
• 741488
  Block, Louis(1-FL); Hart, David(1-FL)
  Dynamics and bifurcation in one dimension.
  Trends in theory and practice of nonlinear differential equations (Arlington, Tex., 1982), 77–79,
  Lecture Notes in Pure and Appl. Math., 90,
  Dekker, New York, 1984.
  58F08 (58F14)
• 753921
  Block, Louis(1-FL); Hart, David(1-FL)
  Stratification of the space of unimodal interval maps.
  Ergodic Theory Dynam. Systems 3 (1983), no. 4, 533–539.
  58F20 (54H20)
• 753920
  Block, Louis(1-FL); Coven, Ethan(1-WESL); Mulvey, Irene; Nitecki, Zbigniew(1-TUFT)
  Homoclinic and nonwandering points for maps of the circle.
  Ergodic Theory Dynam. Systems 3 (1983), no. 4, 521–532.
  58F20 (28D05 54H20)
• 687650
  Block, Louis; Franke, John E.
  The chain recurrent set for maps of the interval.
  Proc. Amer. Math. Soc. 87 (1983), no. 4, 723–727.
  58F22 (54H20)
• 695273
  Block, Louis
  Critical points of one parameter families of maps of the interval.
  Proc. Amer. Math. Soc. 88 (1983), no. 2, 347–350.
  58F14 (58F20)
• 693970
  Block, Louis; Hart, David
  The bifurcation of homoclinic orbits of maps of the interval.
  Ergodic Theory Dynamical Systems 2 (1982), no. 2, 131–138 (1983).
  58F14 (58F08)
• 693969
  Block, Louis; Hart, David
  The bifurcation of periodic orbits of one-dimensional maps.
  Ergodic Theory Dynamical Systems 2 (1982), no. 2, 125–129 (1983).
  58F14 (58F08)
• 661815
  Block, Louis; Coven, Ethan M.; Nitecki, Zbigniew
  Minimizing topological entropy for maps of the circle.
  Ergodic Theory Dynamical Systems 1 (1981), no. 2, 145–149.
  58F11 (28D20 54C70)
• 612745
  Block, Louis
  Periods of periodic points of maps of the circle which have a fixed point.
  Proc. Amer. Math. Soc. 82 (1981), no. 3, 481–486.
  58F20 (54H20)
• 593484
  Block, Louis
  Stability of periodic orbits in the theorem of \v Sarkovskii.
  Proc. Amer. Math. Soc. 81 (1981), no. 2, 333–336.
  58F20 (28D05)
• 574798
  Block, Louis
  Periodic orbits of continuous mappings of the circle.
  Trans. Amer. Math. Soc. 260 (1980), no. 2, 553–562.
  54H20 (58F20)
• 591173
  Block, Louis; Guckenheimer, John; Misiurewicz, Micha\l; Young, Lai Sang
  Periodic points and topological entropy of one-dimensional maps.
  Global theory of dynamical systems (Proc. Internat. Conf., Northwestern Univ., Evanston, Ill., 1979), pp. 18–34,
  Lecture Notes in Math., 819,
  Springer, Berlin, 1980.
  58F20 (28D20 54C70)
• 539925
  Block, Louis
  Simple periodic orbits of mappings of the initial.
  Trans. Amer. Math. Soc. 254 (1979), 391–398.
  58F20 (28D20 54H20)
• 509258
  Block, Louis
  Homoclinic points of mappings of the interval.
  Proc. Amer. Math. Soc. 72 (1978), no. 3, 576–580.
  58F20 (28D20 54H20)
• 474240
  Block, Louis
  Continuous maps of the interval with finite nonwandering set.
  Trans. Amer. Math. Soc. 240 (1978), 221–230.
  54H20 (58F20)
• 461578
  Block, Louis
  Topological entropy at an $u$-explosion.
  Trans. Amer. Math. Soc. 235 (1978), 323–330.
  58F10 (54H20)
• 467841
  Block, Louis
  Mappings of the interval with finitely many periodic points have zero entropy.
  Proc. Amer. Math. Soc. 67 (1977), no. 2, 357–360.
  58F20 (54H20)
• 461582
  Block, Louis
  An example where topological entropy is continuous.
  Trans. Amer. Math. Soc. 231 (1977), no. 1, 201–213.
  58F15 (54H20)
• 436220
  Block, Louis
  The periodic points of Morse-Smale endomorphisms of the circle.
  Trans. Amer. Math. Soc. 226 (1977), 77–88.
  58F20
• 413186
  Block, Louis
  Morse-Smale endomorphisms of the circle.
  Proc. Amer. Math. Soc. 48 (1975), 457–463.
  58F20 (58F15)
• 388457
  Block, Louis
  Diffeomorphisms obtained from endomorphisms.
  Trans. Amer. Math. Soc. 214 (1975), 403–413.
  58F20
• 367953
  Block, Louis
  Noncontinuity of topological entropy of maps of the Cantor set and of the interval.
  Proc. Amer. Math. Soc. 50 (1975), 388–393.
  54H20
• 2623452
  Block, Louis
  BIFURCATIONS OF ENDOMORPHISMS OF 1-SPHERE. Thesis (Ph.D.)–Northwestern University. 1973. 64 pp
• 358867
  Block, Louis; Franke, John
  Existence of periodic points for maps of $S\sp{1}$.
  Invent. Math. 22 (1973/74), 69–73.
  58F20
• 309154
  Block, Louis; Franke, John
  A classification of the structurally stable contracting endomorphisms of $S\sp{1}$.
  Proc. Amer. Math. Soc. 36 (1972), 597–602.
  58F10

 

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Last update made Sun Sep 2 07:00:17 EDT 2012