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## Block, Louis Stuart

Compute Distance To:
 Author ID: block.louis-stuart Published as: Block, Louis; Block, Louis Stuart; Block, L. S.; Block, L.
 Documents Indexed: 58 Publications since 1973, including 1 Book
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#### Co-Authors

 18 single-authored 15 Keesling, James Edgar 9 Coven, Ethan M. 6 Franke, John E. 5 Hart, David S. 3 Misiurewicz, Michał 2 Coppel, William Andrew 2 Jakimovik, Slagjana 2 Ledis, Dennis 2 Nitecki, Zbigniew H. 1 Blokh, Alexander M. 1 Galeeva, Roza 1 Geller, William 1 Guckenheimer, John M. 1 Hubner, Kristin 1 Jonker, Leo B. 1 Kailhofer, Lois 1 Li, Shihai 1 Mulvey, Irene 1 Peterson, Kevin 1 Raines, Brian E. 1 Rucka, Lenka 1 Schumann, Shannon 1 Štimac, Sonja 1 Uspenskiĭ, Vladimir Vladimirovich 1 Young, Lai-Sang
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#### Serials

 12 Proceedings of the American Mathematical Society 11 Transactions of the American Mathematical Society 10 Ergodic Theory and Dynamical Systems 5 Topology and its Applications 2 Houston Journal of Mathematics 2 Journal of Statistical Physics 2 Topology Proceedings 2 Journal of Difference Equations and Applications 1 Fundamenta Mathematicae 1 Inventiones Mathematicae 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Lecture Notes in Mathematics
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#### Fields

 45 Dynamical systems and ergodic theory (37-XX) 44 General topology (54-XX) 5 Real functions (26-XX) 2 Manifolds and cell complexes (57-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

47 Publications have been cited 726 times in 545 Documents Cited by Year
Dynamics in one dimension. Zbl 0746.58007
Block, Louis Stuart; Coppel, William Andrew
1992
Periodic points and topological entropy of one dimensional maps. Zbl 0447.58028
Block, Louis; Guckenheimer, John; Misiurewicz, Michal; Young, Lai Sang
1980
A characterization of adding machine maps. Zbl 1052.37010
Block, Louis; Keesling, James
2004
Homoclinic points of mappings of the interval. Zbl 0365.58015
Block, Louis
1978
An improved algorithm for computing topological entropy. Zbl 0714.54018
Block, Louis; Keesling, James; Li, Shihai; Peterson, Kevin
1989
Topological conjugacy and transitivity for a class of piecewise monotone maps of the interval. Zbl 0614.54035
Block, Louis; Coven, Ethan M.
1987
Simple periodic orbits of mappings of the interval. Zbl 0386.54025
Block, Louis
1979
Periods of periodic points of maps of the circle which have a fixed point. Zbl 0464.54046
Block, Louis
1981
Stability of periodic orbits in the theorem of Sarkovskii. Zbl 0462.54029
Block, Louis
1981
Computing the topological entropy of maps of the interval with three monotone pieces. Zbl 0892.58023
Block, Louis; Keesling, James
1992
Periodic orbits of continuous mappings of the circle. Zbl 0497.54040
Block, Louis
1980
Continuous maps of the interval with finite nonwandering set. Zbl 0389.54006
Block, Louis
1978
Existence of periodic points for maps of S$$^1$$. Zbl 0272.58005
Block, Louis; Franke, John
1973
The chain recurrent set, attractors, and explosions. Zbl 0572.54037
Block, Louis; Franke, John E.
1985
Stratification of continuous maps of an interval. Zbl 0606.54032
Block, L. S.; Coppel, W. A.
1986
Block, Louis; Keesling, James; Misiurewicz, Michal
2006
Diffeomorphisms obtained from endomorphisms. Zbl 0293.57016
Block, Louis
1975
The chain recurrent set for maps of the interval. Zbl 0513.54025
Block, Louis; Franke, John E.
1983
On the classification of inverse limits of tent maps. Zbl 1092.54011
Block, Louis; Jakimovik, Slagjana; Kailhofer, Lois; Keesling, James
2005
Iterated function systems and the code space. Zbl 1021.37011
Block, Louis; Keesling, James
2002
Homoclinic and non-wandering points for maps of the circle. Zbl 0523.58030
Block, Louis; Coven, Ethan; Mulvey, Irene; Nitecki, Zbigniew
1983
Inverse limits which are the pseudoarc. Zbl 0991.54048
Block, L.; Keesling, J.; Uspenskij, V. V.
2000
$$\omega$$-limit sets for maps of the interval. Zbl 0613.58024
Block, Louis; Coven, Ethan M.
1986
Stratification of the space of unimodal interval maps. Zbl 0527.58034
Block, Louis; Hart, David
1983
A classification of the structurally stable contracting endomorphisms of S$$^1$$. Zbl 0263.58010
Block, Louis; Franke, John
1973
Maps of the interval with every point chain recurrent. Zbl 0601.54047
Block, Louis; Coven, Ethan M.
1986
Mappings of the interval with finitely many periodic points have zero entropy. Zbl 0344.54030
Block, Louis
1977
Morse-Smale endomorphisms of the circle. Zbl 0276.58011
Block, Louis
1975
The periodic points of Morse-Smale endomorphisms of the circle. Zbl 0304.58019
Block, Louis
1977
The bifurcation of homoclinic orbits of maps of the interval. Zbl 0507.58036
Block, Louis; Hart, David
1982
Homeomorphisms of unimodal inverse limit spaces with a non-recurrent critical point. Zbl 1181.37015
Block, Louis; Keesling, James; Raines, Brian; Štimac, Sonja
2009
Non-continuity of topological entropy of maps of the Cantor set and of the interval. Zbl 0351.54034
Block, Louis
1975
An example where topological entropy is continuous. Zbl 0379.58016
Block, Louis
1977
The chain recurrent set for maps of the circle. Zbl 0524.54030
Block, Louis; Franke, John E.
1984
Topological conjugacy, transitivity, and patterns. Zbl 1329.37013
Block, Louis; Ledis, Dennis
2014
Topological entropy and adding machine maps. Zbl 1126.37308
Block, Louis; Keesling, James
2004
Inverse limit spaces, periodic points, and arcs. Zbl 0828.58010
Block, Louis; Schumann, Shannon
1995
On homeomorphisms of $$(I,f)$$ having topological entropy zero. Zbl 0930.37019
Block, Louis; Keesling, James
1998
Isolated chain recurrent points for one-dimensional maps. Zbl 0567.54025
Block, Louis; Franke, John E.
1985
Orbit types for maps of the interval. Zbl 0608.58029
Block, Louis; Hart, David
1987
Minimizing topological entropy for maps of the circle. Zbl 0474.58012
Block, Louis; Coven, Ethan M.; Nitecki, Zbigniew
1981
The bifurcation of periodic orbits of one-dimensional maps. Zbl 0507.58035
Block, Louis; Hart, David
1982
Approximating entropy of maps of the interval. Zbl 0705.58031
Block, Louis; Coven, Ethan M.
1989
Semi-conjugacies and inverse limit spaces. Zbl 1269.37020
Block, Louis; Keesling, James; Ledis, Dennis
2012
On Ingram’s conjecture. Zbl 1135.54016
Block, Louis; Jakimovik, Slagjana; Keesling, James
2006
Primary cycles on the circle. Zbl 0662.58034
Block, Louis; Coven, Ethan M.; Jonker, Leo; Misiurewicz, Michał
1989
Dynamics and bifurcation in one dimension. Zbl 0531.58037
Block, Louis; Hart, David
1984
Topological conjugacy, transitivity, and patterns. Zbl 1329.37013
Block, Louis; Ledis, Dennis
2014
Semi-conjugacies and inverse limit spaces. Zbl 1269.37020
Block, Louis; Keesling, James; Ledis, Dennis
2012
Homeomorphisms of unimodal inverse limit spaces with a non-recurrent critical point. Zbl 1181.37015
Block, Louis; Keesling, James; Raines, Brian; Štimac, Sonja
2009
Block, Louis; Keesling, James; Misiurewicz, Michal
2006
On Ingram’s conjecture. Zbl 1135.54016
Block, Louis; Jakimovik, Slagjana; Keesling, James
2006
On the classification of inverse limits of tent maps. Zbl 1092.54011
Block, Louis; Jakimovik, Slagjana; Kailhofer, Lois; Keesling, James
2005
A characterization of adding machine maps. Zbl 1052.37010
Block, Louis; Keesling, James
2004
Topological entropy and adding machine maps. Zbl 1126.37308
Block, Louis; Keesling, James
2004
Iterated function systems and the code space. Zbl 1021.37011
Block, Louis; Keesling, James
2002
Inverse limits which are the pseudoarc. Zbl 0991.54048
Block, L.; Keesling, J.; Uspenskij, V. V.
2000
On homeomorphisms of $$(I,f)$$ having topological entropy zero. Zbl 0930.37019
Block, Louis; Keesling, James
1998
Inverse limit spaces, periodic points, and arcs. Zbl 0828.58010
Block, Louis; Schumann, Shannon
1995
Dynamics in one dimension. Zbl 0746.58007
Block, Louis Stuart; Coppel, William Andrew
1992
Computing the topological entropy of maps of the interval with three monotone pieces. Zbl 0892.58023
Block, Louis; Keesling, James
1992
An improved algorithm for computing topological entropy. Zbl 0714.54018
Block, Louis; Keesling, James; Li, Shihai; Peterson, Kevin
1989
Approximating entropy of maps of the interval. Zbl 0705.58031
Block, Louis; Coven, Ethan M.
1989
Primary cycles on the circle. Zbl 0662.58034
Block, Louis; Coven, Ethan M.; Jonker, Leo; Misiurewicz, Michał
1989
Topological conjugacy and transitivity for a class of piecewise monotone maps of the interval. Zbl 0614.54035
Block, Louis; Coven, Ethan M.
1987
Orbit types for maps of the interval. Zbl 0608.58029
Block, Louis; Hart, David
1987
Stratification of continuous maps of an interval. Zbl 0606.54032
Block, L. S.; Coppel, W. A.
1986
$$\omega$$-limit sets for maps of the interval. Zbl 0613.58024
Block, Louis; Coven, Ethan M.
1986
Maps of the interval with every point chain recurrent. Zbl 0601.54047
Block, Louis; Coven, Ethan M.
1986
The chain recurrent set, attractors, and explosions. Zbl 0572.54037
Block, Louis; Franke, John E.
1985
Isolated chain recurrent points for one-dimensional maps. Zbl 0567.54025
Block, Louis; Franke, John E.
1985
The chain recurrent set for maps of the circle. Zbl 0524.54030
Block, Louis; Franke, John E.
1984
Dynamics and bifurcation in one dimension. Zbl 0531.58037
Block, Louis; Hart, David
1984
The chain recurrent set for maps of the interval. Zbl 0513.54025
Block, Louis; Franke, John E.
1983
Homoclinic and non-wandering points for maps of the circle. Zbl 0523.58030
Block, Louis; Coven, Ethan; Mulvey, Irene; Nitecki, Zbigniew
1983
Stratification of the space of unimodal interval maps. Zbl 0527.58034
Block, Louis; Hart, David
1983
The bifurcation of homoclinic orbits of maps of the interval. Zbl 0507.58036
Block, Louis; Hart, David
1982
The bifurcation of periodic orbits of one-dimensional maps. Zbl 0507.58035
Block, Louis; Hart, David
1982
Periods of periodic points of maps of the circle which have a fixed point. Zbl 0464.54046
Block, Louis
1981
Stability of periodic orbits in the theorem of Sarkovskii. Zbl 0462.54029
Block, Louis
1981
Minimizing topological entropy for maps of the circle. Zbl 0474.58012
Block, Louis; Coven, Ethan M.; Nitecki, Zbigniew
1981
Periodic points and topological entropy of one dimensional maps. Zbl 0447.58028
Block, Louis; Guckenheimer, John; Misiurewicz, Michal; Young, Lai Sang
1980
Periodic orbits of continuous mappings of the circle. Zbl 0497.54040
Block, Louis
1980
Simple periodic orbits of mappings of the interval. Zbl 0386.54025
Block, Louis
1979
Homoclinic points of mappings of the interval. Zbl 0365.58015
Block, Louis
1978
Continuous maps of the interval with finite nonwandering set. Zbl 0389.54006
Block, Louis
1978
Mappings of the interval with finitely many periodic points have zero entropy. Zbl 0344.54030
Block, Louis
1977
The periodic points of Morse-Smale endomorphisms of the circle. Zbl 0304.58019
Block, Louis
1977
An example where topological entropy is continuous. Zbl 0379.58016
Block, Louis
1977
Diffeomorphisms obtained from endomorphisms. Zbl 0293.57016
Block, Louis
1975
Morse-Smale endomorphisms of the circle. Zbl 0276.58011
Block, Louis
1975
Non-continuity of topological entropy of maps of the Cantor set and of the interval. Zbl 0351.54034
Block, Louis
1975
Existence of periodic points for maps of S$$^1$$. Zbl 0272.58005
Block, Louis; Franke, John
1973
A classification of the structurally stable contracting endomorphisms of S$$^1$$. Zbl 0263.58010
Block, Louis; Franke, John
1973
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#### Cited by 534 Authors

 27 Block, Louis Stuart 17 Sun, Taixiang 16 Andres, Jan 16 Cánovas, Jose S. 15 Mai, Jiehua 15 Smítal, Jaroslav 15 Steele, Timothy H. 14 Oprocha, Piotr 13 Misiurewicz, Michał 11 Huang, Yu 11 Shi, Yuming 10 Balibrea, Francisco 10 Bernhardt, Chris 10 Coven, Ethan M. 10 Li, Risong 9 Alsedà, Lluís 9 Bruin, Henk 9 Tresser, Charles 8 Llibre, Jaume 8 Ye, Xiangdong 7 Alvin, Lori 7 D’Aniello, Emma 7 Xi, Hongjian 6 Askri, Ghassen 6 Du, Bau-Sen 6 Franke, John E. 6 Jiménez López, Víctor 6 Lampart, Marek 6 Munoz Guillermo, Maria 6 Naghmouchi, Issam 6 Snoha, L’ubomír 6 Štimac, Sonja 6 Zeng, Fanping 5 Bobok, Jozef 5 Chen, Goong 5 Chen, Guanrong 5 Efremova, Lyudmila S. 5 Keesling, James Edgar 5 Kočan, Zdeněk 5 Málek, Michal 5 Shao, Hua 5 Štefánková, Marta 5 Wang, Lidong 5 Zhao, Yu 4 Abdelli, Hafedh 4 Amigó, José María 4 Baldwin, Stewart L. 4 Barge, Marcy M. 4 Blokh, Alexander M. 4 El-Morshedy, Hassan A. 4 He, Qiuli 4 Kannan, V. 4 Liao, Gongfu 4 Linero Bas, Antonio 4 Lloret-Climent, Miguel 4 Nitecki, Zbigniew H. 4 Pireddu, Marina 4 Subrahmonian Moothathu, T. K. 4 Xiong, Jincheng 4 Zanolin, Fabio 3 Boroński, Jan P. 3 Brucks, Karen M. 3 Darji, Udayan B. 3 Esteve-Calvo, Pasqual Francesc 3 Fišer, Jiří 3 Forti, Gian Luigi 3 García Guirao, Juan Luis 3 Hric, Roman 3 Ju, Hyonhui 3 Kato, Hisao 3 Kolyada, Sergiǐ Fedorovych 3 Kurková, Veronika 3 Li, Liangliang 3 Liu, Xinhe 3 Lu, Tianxiu 3 Ormes, Nicholas S. 3 Paganoni, Luigi 3 Pastor, Karel 3 Pederson, Steven M. 3 Reich, Ludwig 3 Rodríguez, José Angel 3 Ruette, Sylvie 3 Sanchis, Manuel 3 Sharma, Puneet 3 Su, Guangwang 3 Wu, Xinxing 3 Zhang, Gengrong 3 Zhang, Xu 2 Abdulla, Rashad U. 2 Abdulla, Ugur G. 2 Abouda, Haithem 2 Ali Akbar, Kamaludheen 2 Anušić, Ana 2 Barrio Blaya, Alejo 2 Bel’mesova, S. S. 2 Boyland, Philip L. 2 Buescu, Jorge 2 Charatonik, Janusz Jerzy 2 Chen, Minghao 2 Chinen, Naotsugu ...and 434 more Authors
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#### Cited in 137 Serials

 52 Topology and its Applications 40 Proceedings of the American Mathematical Society 39 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 32 Journal of Difference Equations and Applications 31 Ergodic Theory and Dynamical Systems 26 Transactions of the American Mathematical Society 16 Bulletin of the Australian Mathematical Society 15 Qualitative Theory of Dynamical Systems 13 Journal of Mathematical Analysis and Applications 12 Journal of Mathematical Chemistry 9 Chaos, Solitons and Fractals 8 Acta Mathematica Sinica. English Series 7 Physica D 7 Dynamical Systems 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Science in China. Series A 6 Journal of Mathematical Sciences (New York) 6 Discrete and Continuous Dynamical Systems 5 Communications in Mathematical Physics 5 Nonlinearity 5 Ukrainian Mathematical Journal 5 Aequationes Mathematicae 5 Chaos 5 Discrete and Continuous Dynamical Systems. Series B 4 Israel Journal of Mathematics 4 Journal of Statistical Physics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Annales de l’Institut Fourier 4 Mathematica Slovaca 4 Journal of Dynamics and Differential Equations 4 Nonlinear Analysis. Theory, Methods & Applications 3 International Journal of Modern Physics B 3 International Journal of General Systems 3 Mathematical Notes 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Results in Mathematics 3 Abstract and Applied Analysis 3 Discrete Dynamics in Nature and Society 3 Entropy 3 Fixed Point Theory and Applications 3 Applied General Topology 2 Journal of Mathematical Biology 2 Boletim da Sociedade Brasileira de Matemática 2 Fuzzy Sets and Systems 2 Publications Mathématiques 2 Journal of Computational and Applied Mathematics 2 Journal of Differential Equations 2 Journal of the Korean Mathematical Society 2 Theoretical Computer Science 2 Journal of the American Mathematical Society 2 Linear Algebra and its Applications 2 Acta Mathematica Sinica. New Series 2 Indagationes Mathematicae. New Series 2 Applied Mathematics. Series B (English Edition) 2 Topology Proceedings 2 Geometry & Topology 2 Communications in Nonlinear Science and Numerical Simulation 2 Nonlinear Analysis. Real World Applications 2 Stochastics and Dynamics 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Advances in Difference Equations 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Discrete Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Theoretical Physics 1 Journal of Mathematical Physics 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Mathematics of Computation 1 Bulletin of Mathematical Biology 1 The Mathematical Intelligencer 1 Advances in Mathematics 1 Annales Polonici Mathematici 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Fundamenta Mathematicae 1 International Journal of Mathematics and Mathematical Sciences 1 Inventiones Mathematicae 1 Journal of Economic Theory 1 Journal of Geometry 1 Kybernetes 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Notre Dame Journal of Formal Logic 1 Proceedings of the Japan Academy. Series A 1 Real Analysis Exchange 1 Semigroup Forum 1 Tokyo Journal of Mathematics 1 Cybernetics and Systems 1 Acta Mathematica Hungarica 1 Bulletin of the Iranian Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Mathematics Letters 1 Economics Letters 1 Japan Journal of Industrial and Applied Mathematics 1 International Journal of Computer Mathematics 1 SIAM Journal on Applied Mathematics ...and 37 more Serials
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#### Cited in 39 Fields

 472 Dynamical systems and ergodic theory (37-XX) 202 General topology (54-XX) 53 Real functions (26-XX) 28 Ordinary differential equations (34-XX) 27 Measure and integration (28-XX) 24 Difference and functional equations (39-XX) 21 Biology and other natural sciences (92-XX) 13 Combinatorics (05-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Operator theory (47-XX) 10 Partial differential equations (35-XX) 8 Manifolds and cell complexes (57-XX) 7 Numerical analysis (65-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Computer science (68-XX) 5 Systems theory; control (93-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Mechanics of particles and systems (70-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Mathematical logic and foundations (03-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Functional analysis (46-XX) 2 Algebraic topology (55-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 General algebraic systems (08-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX)