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Smillie, John

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Author ID: smillie.john Recent zbMATH articles by "Smillie, John"
Published as: Smillie, J.; Smillie, John
External Links: MGP · Wikidata
Documents Indexed: 53 Publications since 1977, including 1 Book

Publications by Year

Citations contained in zbMATH

49 Publications have been cited 918 times in 567 Documents Cited by Year
Ergodicity of billiard flows and quadratic differentials. Zbl 0637.58010
Kerckhoff, Steven; Masur, Howard; Smillie, John
100
1986
Polynomial diffeomorphisms of \({\mathbb C}^2\): Currents, equilibrium measure and hyperbolicity. Zbl 0721.58037
Bedford, Eric; Smillie, John
78
1991
Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). IV: The measure of maximal entropy and laminar currents. Zbl 0792.58034
Bedford, Eric; Lyubich, Mikhail; Smillie, John
70
1993
Billiards on rational-angled triangles. Zbl 0967.37019
Kenyon, Richard; Smillie, John
48
2000
Hausdorff dimension of sets of nonergodic measured foliations. Zbl 0774.58024
Masur, Howard; Smillie, John
47
1991
Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). III: Ergodicity, exponents and entropy of the equilibrium measure. Zbl 0765.58013
Bedford, Eric; Smillie, John
45
1992
Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). II: Stable manifolds and recurrence. Zbl 0744.58068
Bedford, Eric; Smillie, John
44
1991
Uniform distribution of horocycle orbits for Fuchsian groups. Zbl 0547.20042
Dani, S. G.; Smillie, John
33
1984
Quadratic differentials with prescribed singularities and pseudo-Anosov diffeomorphisms. Zbl 0792.30030
Masur, Howard; Smillie, John
30
1993
Competitive and cooperative tridiagonal systems of differential equations. Zbl 0546.34007
Smillie, John
29
1984
Distribution of periodic points of polynomial diffeomorphisms of \(\mathbb{C}^ 2\). Zbl 0799.58039
Bedford, Eric; Lyubich, Mikhail; Smillie, John
23
1993
Characterizations of lattice surfaces. Zbl 1195.57041
Smillie, John; Weiss, Barak
22
2010
Polynomial diffeomorphisms of \(\mathbb{C}^2\). VI: Connectivity of \(J\). Zbl 0916.58022
Bedford, Eric; Smillie, John
21
1998
Real polynomial diffeomorphisms with maximal entropy: tangencies. Zbl 1084.37034
Bedford, Eric; Smillie, John
20
2004
Minimal sets for flows on moduli space. Zbl 1052.37025
Smillie, John; Weiss, Barak
20
2004
Real polynomial diffeomorphisms with maximal entropy. II: Small Jacobian. Zbl 1135.37015
Bedford, Eric; Smillie, John
19
2006
Polynomial diffeomorphisms of \(\mathbb{C}^2\). VII: Hyperbolicity and external rays. Zbl 0952.37008
Bedford, Eric; Smillie, John
18
1999
The entropy of polynomial diffeomorphisms of \({\mathbb{C}}^ 2\). Zbl 0695.58023
Smillie, John
17
1990
A generating function for the Euler characteristic of \(Out(F_ n)\). Zbl 0616.20009
Smillie, John; Vogtmann, Karen
16
1987
Polynomial diffeomorphisms of \({\mathbb{C}}^2\). V: Critical points and Lyapunov exponents. Zbl 1004.37027
Bedford, Eric; Smillie, John
14
1998
Beyond Sturmian sequences: coding linear trajectories in the regular octagon. Zbl 1230.37021
Smillie, John; Ulcigrai, Corinna
13
2011
Polynomial diffeomorphisms of \(\mathbb C^2\). VIII: Quasi-expansion. Zbl 1004.37028
Bedford, Eric; Smillie, John
13
2002
Flat manifolds with non-zero Euler characteristics. Zbl 0357.53021
Smillie, John
13
1977
Fatou-Bieberbach domains arising form polynomial automorphisms. Zbl 0739.32027
Bedford, Eric; Smillie, John
12
1991
Rayleigh quotient iteration for nonsymmetric matrices. Zbl 0701.65027
Batterson, Steve; Smillie, John
11
1990
Homotopy shadowing. Zbl 1207.37013
Ishii, Yutaka; Smillie, John
10
2010
Algebraically periodic translation surfaces. Zbl 1151.57015
Calta, Kariane; Smillie, John
10
2008
The dynamics of billiard flows in rational polygons of dynamical systems. Zbl 1323.37002
Smillie, J.
10
2000
The dynamics of Rayleigh quotient iteration. Zbl 0669.65028
Batterson, Steve; Smillie, John
10
1989
An obstruction to the existence of affine structures. Zbl 0485.57015
Smillie, John
10
1981
Semi-parabolic bifurcations in complex dimension two. Zbl 1365.37044
Bedford, Eric; Smillie, John; Ueda, Tetsuo
9
2017
Dynamical systems, ergodic theory and applications. Edited by Ya. G. Sinai. Transl. from the Russian. 2nd, expanded and rev. ed. Zbl 1100.00500
Bunimovich, L. A.; Dani, S. G.; Dobrushin, R. L.; Jakobson, M. V.; Kornfeld, I. P.; Maslova, N. B.; Pesin, Ya. B.; Sinai, Ya. G.; Smillie, J.; Sukhov, Yu. M.; Vershik, A. M.
8
2000
Automorphisms of graphs, p-subgroups of \(Out(F_ n)\) and the Euler characteristic of \(Out(F_ n)\). Zbl 0641.20029
Smillie, John; Vogtmann, Karen
8
1987
Veech’s dichotomy and the lattice property. Zbl 1163.37010
Smillie, John; Weiss, Barak
7
2008
Finiteness results for flat surfaces: a survey and problem list. Zbl 1151.57020
Smillie, John; Weiss, Barak
7
2007
The Hénon family: the complex horseshoe locus and real parameter space. Zbl 1207.37029
Bedford, Eric; Smillie, John
7
2006
External rays in the dynamics of polynomial automorphisms of \(C^2\). Zbl 0922.58067
Bedford, Eric; Smillie, John
7
1999
Geodesic flow on the Teichmüller disk of the regular octagon cutting sequences and octagon continued fractions maps. Zbl 1222.37012
Smillie, John; Ulcigrai, Corinna
6
2010
Length functions and outer space. Zbl 0773.05058
Smillie, John; Vogtmann, Karen
6
1992
A symbolic characterization of the horseshoe locus in the Hénon family. Zbl 1377.37071
Bedford, Eric; Smillie, John
5
2017
Rayleigh quotient iteration fails for nonsymmetric matrices. Zbl 0706.65037
Batterson, Steve; Smillie, John
4
1989
Periodic points of surface homeomorphisms with zero entropy. Zbl 0536.58026
Smillie, John
4
1983
A rational billiard flow is uniquely ergodic in almost every direction. Zbl 0574.58020
Kerckhoff, Steven; Masur, Howard; Smillie, John
3
1985
Dynamics in two complex dimensions. Zbl 1136.37341
Smillie, J.
2
2002
Complex dynamics in several variables. Zbl 0931.37014
Smillie, John
2
1997
Automorphisms of \(SL_ 2\) of imaginary quadratic integers. Zbl 0733.20026
Smillie, John; Vogtmann, Karen
2
1991
Properties of the directional entropy function for cellular automata. Zbl 0676.68024
Smillie, John
2
1988
Filtrations and periodic data on surfaces. Zbl 0609.58021
Batterson, Steve; Smillie, John
2
1986
Smale diffeomorphisms and surface topology. Zbl 0603.58026
Batterson, Steve; Smillie, John
1
1985
Semi-parabolic bifurcations in complex dimension two. Zbl 1365.37044
Bedford, Eric; Smillie, John; Ueda, Tetsuo
9
2017
A symbolic characterization of the horseshoe locus in the Hénon family. Zbl 1377.37071
Bedford, Eric; Smillie, John
5
2017
Beyond Sturmian sequences: coding linear trajectories in the regular octagon. Zbl 1230.37021
Smillie, John; Ulcigrai, Corinna
13
2011
Characterizations of lattice surfaces. Zbl 1195.57041
Smillie, John; Weiss, Barak
22
2010
Homotopy shadowing. Zbl 1207.37013
Ishii, Yutaka; Smillie, John
10
2010
Geodesic flow on the Teichmüller disk of the regular octagon cutting sequences and octagon continued fractions maps. Zbl 1222.37012
Smillie, John; Ulcigrai, Corinna
6
2010
Algebraically periodic translation surfaces. Zbl 1151.57015
Calta, Kariane; Smillie, John
10
2008
Veech’s dichotomy and the lattice property. Zbl 1163.37010
Smillie, John; Weiss, Barak
7
2008
Finiteness results for flat surfaces: a survey and problem list. Zbl 1151.57020
Smillie, John; Weiss, Barak
7
2007
Real polynomial diffeomorphisms with maximal entropy. II: Small Jacobian. Zbl 1135.37015
Bedford, Eric; Smillie, John
19
2006
The Hénon family: the complex horseshoe locus and real parameter space. Zbl 1207.37029
Bedford, Eric; Smillie, John
7
2006
Real polynomial diffeomorphisms with maximal entropy: tangencies. Zbl 1084.37034
Bedford, Eric; Smillie, John
20
2004
Minimal sets for flows on moduli space. Zbl 1052.37025
Smillie, John; Weiss, Barak
20
2004
Polynomial diffeomorphisms of \(\mathbb C^2\). VIII: Quasi-expansion. Zbl 1004.37028
Bedford, Eric; Smillie, John
13
2002
Dynamics in two complex dimensions. Zbl 1136.37341
Smillie, J.
2
2002
Billiards on rational-angled triangles. Zbl 0967.37019
Kenyon, Richard; Smillie, John
48
2000
The dynamics of billiard flows in rational polygons of dynamical systems. Zbl 1323.37002
Smillie, J.
10
2000
Dynamical systems, ergodic theory and applications. Edited by Ya. G. Sinai. Transl. from the Russian. 2nd, expanded and rev. ed. Zbl 1100.00500
Bunimovich, L. A.; Dani, S. G.; Dobrushin, R. L.; Jakobson, M. V.; Kornfeld, I. P.; Maslova, N. B.; Pesin, Ya. B.; Sinai, Ya. G.; Smillie, J.; Sukhov, Yu. M.; Vershik, A. M.
8
2000
Polynomial diffeomorphisms of \(\mathbb{C}^2\). VII: Hyperbolicity and external rays. Zbl 0952.37008
Bedford, Eric; Smillie, John
18
1999
External rays in the dynamics of polynomial automorphisms of \(C^2\). Zbl 0922.58067
Bedford, Eric; Smillie, John
7
1999
Polynomial diffeomorphisms of \(\mathbb{C}^2\). VI: Connectivity of \(J\). Zbl 0916.58022
Bedford, Eric; Smillie, John
21
1998
Polynomial diffeomorphisms of \({\mathbb{C}}^2\). V: Critical points and Lyapunov exponents. Zbl 1004.37027
Bedford, Eric; Smillie, John
14
1998
Complex dynamics in several variables. Zbl 0931.37014
Smillie, John
2
1997
Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). IV: The measure of maximal entropy and laminar currents. Zbl 0792.58034
Bedford, Eric; Lyubich, Mikhail; Smillie, John
70
1993
Quadratic differentials with prescribed singularities and pseudo-Anosov diffeomorphisms. Zbl 0792.30030
Masur, Howard; Smillie, John
30
1993
Distribution of periodic points of polynomial diffeomorphisms of \(\mathbb{C}^ 2\). Zbl 0799.58039
Bedford, Eric; Lyubich, Mikhail; Smillie, John
23
1993
Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). III: Ergodicity, exponents and entropy of the equilibrium measure. Zbl 0765.58013
Bedford, Eric; Smillie, John
45
1992
Length functions and outer space. Zbl 0773.05058
Smillie, John; Vogtmann, Karen
6
1992
Polynomial diffeomorphisms of \({\mathbb C}^2\): Currents, equilibrium measure and hyperbolicity. Zbl 0721.58037
Bedford, Eric; Smillie, John
78
1991
Hausdorff dimension of sets of nonergodic measured foliations. Zbl 0774.58024
Masur, Howard; Smillie, John
47
1991
Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). II: Stable manifolds and recurrence. Zbl 0744.58068
Bedford, Eric; Smillie, John
44
1991
Fatou-Bieberbach domains arising form polynomial automorphisms. Zbl 0739.32027
Bedford, Eric; Smillie, John
12
1991
Automorphisms of \(SL_ 2\) of imaginary quadratic integers. Zbl 0733.20026
Smillie, John; Vogtmann, Karen
2
1991
The entropy of polynomial diffeomorphisms of \({\mathbb{C}}^ 2\). Zbl 0695.58023
Smillie, John
17
1990
Rayleigh quotient iteration for nonsymmetric matrices. Zbl 0701.65027
Batterson, Steve; Smillie, John
11
1990
The dynamics of Rayleigh quotient iteration. Zbl 0669.65028
Batterson, Steve; Smillie, John
10
1989
Rayleigh quotient iteration fails for nonsymmetric matrices. Zbl 0706.65037
Batterson, Steve; Smillie, John
4
1989
Properties of the directional entropy function for cellular automata. Zbl 0676.68024
Smillie, John
2
1988
A generating function for the Euler characteristic of \(Out(F_ n)\). Zbl 0616.20009
Smillie, John; Vogtmann, Karen
16
1987
Automorphisms of graphs, p-subgroups of \(Out(F_ n)\) and the Euler characteristic of \(Out(F_ n)\). Zbl 0641.20029
Smillie, John; Vogtmann, Karen
8
1987
Ergodicity of billiard flows and quadratic differentials. Zbl 0637.58010
Kerckhoff, Steven; Masur, Howard; Smillie, John
100
1986
Filtrations and periodic data on surfaces. Zbl 0609.58021
Batterson, Steve; Smillie, John
2
1986
A rational billiard flow is uniquely ergodic in almost every direction. Zbl 0574.58020
Kerckhoff, Steven; Masur, Howard; Smillie, John
3
1985
Smale diffeomorphisms and surface topology. Zbl 0603.58026
Batterson, Steve; Smillie, John
1
1985
Uniform distribution of horocycle orbits for Fuchsian groups. Zbl 0547.20042
Dani, S. G.; Smillie, John
33
1984
Competitive and cooperative tridiagonal systems of differential equations. Zbl 0546.34007
Smillie, John
29
1984
Periodic points of surface homeomorphisms with zero entropy. Zbl 0536.58026
Smillie, John
4
1983
An obstruction to the existence of affine structures. Zbl 0485.57015
Smillie, John
10
1981
Flat manifolds with non-zero Euler characteristics. Zbl 0357.53021
Smillie, John
13
1977
all top 5

Cited by 550 Authors

17 Hubert, Pascal
16 Tien Cuong Dinh
14 Sibony, Nessim
14 Smillie, John
12 Schmidt, Thomas A.
11 Bedford, Eric
10 Dujardin, Romain
10 Masur, Howard A.
9 Wright, Alex
8 Nguyen, Duc-Manh
8 Peters, Han
7 Chaika, Jonathan
7 Fornæss, John Erik
7 Gutkin, Eugene
7 Möller, Martin
7 Vogtmann, Karen
6 Athreya, Jayadev S.
6 de Thélin, Henry
6 Diller, Jeffrey
6 Ishii, Yutaka
6 Lyubich, Mikhail Yur’evich
6 McMullen, Curtis Tracy
6 Takahasi, Hiroki
6 Weiss, Barak
5 Bera, Sayani
5 Cantat, Serge
5 Cheung, Yitwah
5 Eskin, Alex
5 Guedj, Vincent
5 Hooper, W. Patrick
5 Lanneau, Erwan
5 Leininger, Christopher J.
5 Matheus, Carlos
5 Pal, Ratna
5 Sarig, Omri M.
5 Shah, Nimish A.
5 Tanase, Raluca
5 Troubetzkoy, Serge Eugene
5 Ulcigrai, Corinna
5 Wolf, Christian
4 Aulicino, David
4 Favre, Charles
4 Forni, Giovanni
4 Goldman, William M.
4 Hirsch, Morris W.
4 Jensen, Craig A.
4 Jonsson, Mattias
4 Mirzakhani, Maryam
4 Radu, Remus
4 Ratner, Marina
4 Sontag, Eduardo D.
4 Treviño, Rodrigo
4 Verma, Kaushal
4 Yessen, William N.
3 Absil, Pierre-Antoine
3 Angeli, David
3 Arai, Zin
3 Avila Cordeiro de Melo, Artur
3 Bainbridge, Matt
3 Batterson, Steve
3 Bonnot, Sylvain
3 Bucher, Michelle
3 Calta, Kariane
3 Damanik, David
3 Déserti, Julie
3 Filip, Simion
3 Frączek, Krzysztof Marek
3 Gaivão, José Pedro
3 Gelander, Tsachik
3 Judge, Christopher M.
3 Kapovich, Ilya
3 Kim, Kyounghee
3 Lamy, Stéphane
3 Ledrappier, François
3 Lelièvre, Samuel
3 Marchese, Luca
3 Margaliot, Michael
3 Margulis, Grigoriĭ Aleksandrovich
3 Messaoudi, Ali
3 Mukamel, Ronen Eliahu
3 Pfaff, Catherine
3 Porfiri, Maurizio
3 Rafi, Kasra
3 Roeder, Roland K. W.
3 Sepe, Daniele
3 Wang, Yi
3 Wold, Erlend Fornæss
3 Wu, Shengjian
3 Yoccoz, Jean-Christophe
3 Zhong, Yumin
3 Zorich, Anton
2 Ahmad, Shair
2 Ahn, Taeyong
2 Antonakoudis, Stergios M.
2 Arnoux, Pierre
2 Artigue, Alfonso
2 Bankovic, Anja
2 Bayraktar, Turgay
2 Bektešević, Jasmin
2 Belykh, Igor V.
...and 450 more Authors
all top 5

Cited in 152 Serials

32 Ergodic Theory and Dynamical Systems
23 Inventiones Mathematicae
22 Duke Mathematical Journal
20 Geometric and Functional Analysis. GAFA
18 Journal of Modern Dynamics
17 Mathematische Annalen
17 The Journal of Geometric Analysis
15 Geometriae Dedicata
14 Annales de l’Institut Fourier
14 Transactions of the American Mathematical Society
13 Israel Journal of Mathematics
12 Communications in Mathematical Physics
11 Advances in Mathematics
11 Geometry & Topology
10 Proceedings of the American Mathematical Society
9 Conformal Geometry and Dynamics
8 Acta Mathematica
8 Journal of Pure and Applied Algebra
8 Annals of Mathematics. Second Series
7 Publications Mathématiques
7 Journal of Differential Equations
7 Physica D
7 Bulletin of the American Mathematical Society. New Series
7 Discrete and Continuous Dynamical Systems
7 Journal of the European Mathematical Society (JEMS)
7 Algebraic & Geometric Topology
6 Journal of the American Mathematical Society
5 Journal of Statistical Physics
5 International Journal of Mathematics
5 Dynamical Systems
4 Journal of Mathematical Analysis and Applications
4 Journal of Mathematical Physics
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Commentarii Mathematici Helvetici
4 Journal of Algebra
4 Mathematische Zeitschrift
4 Journal of Dynamics and Differential Equations
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Experimental Mathematics
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal d’Analyse Mathématique
3 Journal of Geometry and Physics
3 Bulletin de la Société Mathématique de France
3 Journal of Computational and Applied Mathematics
3 Journal of Functional Analysis
3 Journal für die Reine und Angewandte Mathematik
3 Topology and its Applications
3 Systems & Control Letters
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Linear Algebra and its Applications
3 Chaos
3 Nonlinear Analysis. Real World Applications
3 SIAM Journal on Applied Dynamical Systems
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Nonlinearity
2 Automatica
2 Indiana University Mathematics Journal
2 Mathematika
2 Michigan Mathematical Journal
2 Numerische Mathematik
2 Discrete & Computational Geometry
2 Acta Mathematica Sinica. New Series
2 Electronic Research Announcements of the American Mathematical Society
2 Documenta Mathematica
2 Regular and Chaotic Dynamics
2 Journal of High Energy Physics
2 Foundations of Computational Mathematics
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Advances in Difference Equations
2 Science China. Mathematics
2 Journal of Spectral Theory
2 Complex Analysis and its Synergies
2 Arnold Mathematical Journal
1 International Journal of Theoretical Physics
1 Letters in Mathematical Physics
1 Mathematical Biosciences
1 Mathematical Notes
1 Nuclear Physics. B
1 Physica A
1 Rocky Mountain Journal of Mathematics
1 Arkiv för Matematik
1 Mathematics of Computation
1 Chaos, Solitons and Fractals
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Polonici Mathematici
1 Applied Mathematics and Computation
1 Commentationes Mathematicae Universitatis Carolinae
1 Computing
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Journal of Approximation Theory
1 Journal of Differential Geometry
1 Journal of the London Mathematical Society. Second Series
1 Manuscripta Mathematica
1 Memoirs of the American Mathematical Society
1 Osaka Journal of Mathematics
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Rendiconti del Seminario Matematico della Università di Padova
1 Chinese Annals of Mathematics. Series B
...and 52 more Serials
all top 5

Cited in 46 Fields

368 Dynamical systems and ergodic theory (37-XX)
192 Several complex variables and analytic spaces (32-XX)
107 Functions of a complex variable (30-XX)
77 Manifolds and cell complexes (57-XX)
44 Group theory and generalizations (20-XX)
43 Algebraic geometry (14-XX)
40 Number theory (11-XX)
31 Differential geometry (53-XX)
23 Numerical analysis (65-XX)
22 Topological groups, Lie groups (22-XX)
22 Measure and integration (28-XX)
20 Ordinary differential equations (34-XX)
15 Global analysis, analysis on manifolds (58-XX)
11 Statistical mechanics, structure of matter (82-XX)
10 Combinatorics (05-XX)
10 General topology (54-XX)
10 Quantum theory (81-XX)
10 Biology and other natural sciences (92-XX)
9 Convex and discrete geometry (52-XX)
8 Partial differential equations (35-XX)
8 Geometry (51-XX)
8 Algebraic topology (55-XX)
8 Mechanics of particles and systems (70-XX)
8 Systems theory; control (93-XX)
7 Difference and functional equations (39-XX)
7 Operator theory (47-XX)
6 Probability theory and stochastic processes (60-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Nonassociative rings and algebras (17-XX)
4 Potential theory (31-XX)
4 Computer science (68-XX)
3 History and biography (01-XX)
3 Commutative algebra (13-XX)
2 Category theory; homological algebra (18-XX)
2 Abstract harmonic analysis (43-XX)
1 General and overarching topics; collections (00-XX)
1 Field theory and polynomials (12-XX)
1 Real functions (26-XX)
1 Special functions (33-XX)
1 Functional analysis (46-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)
1 Operations research, mathematical programming (90-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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