John Smillie

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All published works

Action	Title	Year	Authors
+	Horospherical dynamics in invariant subvarieties	2024	John Smillie Peter Smillie Barak Weiss Florent Ygouf
+	Horospherical dynamics in invariant subvarieties	2023	John Smillie Peter Smillie Barak Weiss Florent Ygouf
+	Horocycle Dynamics: New Invariants and Eigenform Loci in the Stratum ℋ(1,1)	2022	Matt Bainbridge John Smillie Barak Weiss
+ PDF Chat	Hyperbolicity and quasi-hyperbolicity in polynomial diffeomorphisms of $C^2$	2022	Eric Bedford Lorenzo Guerini John Smillie
+	On the Space of Ergodic Measures for the Horocycle Flow on Strata of Abelian Differentials	2021	Jon Chaika Osama Khalil John Smillie
+	On the Space of Ergodic Measures for the Horocycle Flow on Strata of Abelian Differentials	2021	Jon Chaika Osama Khalil John Smillie
+	Tremors and horocycle dynamics on the moduli space of translation surfaces	2020	Jon Chaika John Smillie Barak Weiss
+	Tremors and horocycle dynamics on the moduli space of translation surfaces	2020	Jon Chaika John Smillie Barak Weiss
+ PDF Chat	Semi-parabolic Bifurcations in Complex Dimension Two	2017	Eric Bedford John Smillie Tetsuo Ueda
+ PDF Chat	A symbolic characterization of the horseshoe locus in the Hénon family	2016	Eric Bedford John Smillie
+	Horocycle dynamics: new invariants and eigenform loci in the stratum H(1,1)	2016	Matt Bainbridge John Smillie Barak Weiss
+	Hyperbolicity and Quasi-hyperbolicity in Polynomial Diffeomorphisms of ${\Bbb C}^2$	2016	Eric Bedford Lorenzo Guerini John Smillie
+	Horocycle dynamics: new invariants and eigenform loci in the stratum H(1,1)	2016	Matt Bainbridge John Smillie Barak Weiss
+	Parabolic Bifurcations in Complex Dimension 2	2012	Eric Bedford John Smillie Tetsuo Ueda
+	Homotopy shadowing	2010	Yutaka Ishii John Smillie
+	Geodesic flow on the Teichmueller disk of the regular octagon, cutting sequences and octagon continued fractions maps	2010	John Smillie Corinna Ulcigrai
+ PDF Chat	Finiteness results for flat surfaces: large cusps and short geodesics	2010	John Smillie Barak Weiss
+ PDF Chat	Characterizations of lattice surfaces	2010	John Smillie Barak Weiss
+	Geodesic flow on the Teichmüller disk of the regular octagon, cutting sequences and octagon continued fractions maps	2010	John Smillie Corinna Ulcigrai
+	Geodesic flow on the Teichmueller disk of the regular octagon, cutting sequences and octagon continued fractions maps	2010	John Smillie Corinna Ulcigrai
+	Trends and Developments in Complex Dynamics	2009	Carsten Lunde Petersen Mikhail Lyubich Dierk Schleicher John Smillie
+	Symbolic coding for linear trajectories in the regular octagon	2009	John Smillie Corinna Ulcigrai
+	Veech’s dichotomy and the lattice property	2008	John Smillie Barak Weiss
+ PDF Chat	Algebraically periodic translation surfaces	2008	Kariane Calta John Smillie
+	Finiteness results for flat surfaces: large cusps and short geodesics	2008	John Smillie Barak Weiss
+	Characterizations of lattice surfaces	2008	John Smillie Barak Weiss
+	Homotopy shadowing	2008	Yutaka Ishii John Smillie
+	The 𝐽-invariant, exceptional surfaces and notions of periodicity	2007	Kariane Calta John Smillie
+	Algebraically periodic translation surfaces	2007	Kariane Calta John Smillie
+	Real polynomial diffeomorphisms with maximal entropy: II. Small Jacobian	2006	Eric Bedford John Smillie
+ PDF Chat	The Hénon family: the complex horseshoe locus and real parameter space	2006	Eric Bedford John Smillie
+	The Henon Family: The Complex Horseshoe Locus and Real Parameter Space	2005	Eric Bedford John Smillie
+	Minimal sets for flows on moduli space	2004	John Smillie Barak Weiss
+ PDF Chat	Real polynomial diffeomorphisms with maximal entropy: Tangencies	2004	Eric Bedford John Smillie
+	Real Polynomial Diffeomorphisms with Maximal Entropy: II. Small Jacobian	2004	Eric Bedford John Smillie
+	Dynamics in two complex dimensions	2003	John Smillie
+ PDF Chat	Polynomial diffeomorphisms of C 2. VIII: quasi-expansion	2002	Eric Bedford John Smillie
+	Polynomial Diffeomorphisms of $\C^2$. VIII: Quasi-Expansion	2001	Eric Bedford John Smillie
+	Real Polynomial Diffeomorphisms with Maximal Entropy: Tangencies	2001	Eric Bedford John Smillie
+ PDF Chat	Billiards on rational-angled triangles	2000	Richard Kenyon John Smillie
+ PDF Chat	Polynomial diffeomorphisms of C2: VII. Hyperbolicity and external rays	1999	Eric Bedford John Smillie
+	External rays in the dynamics of polynomial automorphisms of 𝐶²	1999	Eric Bedford John Smillie
+ PDF Chat	Polynomial Diffeomorphisms of C 2 : VI. Connectivity of J	1998	Eric Bedford John Smillie
+ PDF Chat	Polynomial diffeomorphisms of C2: V. critical points and Lyapunov exponents	1998	Eric Bedford John Smillie
+	Complex Dynamics in Several Variables	1997	John Smillie Gregery T. Buzzard
+	Polynomial Diffeomorphisms of C^2: VI. Connectivity of J	1996	Eric Bedford John Smillie
+	Polynomial diffeomorphisms of C^2: V. Critical points and Lyapunov exponents	1996	Eric Bedford John Smillie
+	Complex dynamics in several variables	1996	John Smillie Gregery T. Buzzard
+	Polynomial Diffeomorphisms of C^2: VI. Connectivity of J	1996	Eric Bedford John Smillie
+ PDF Chat	Polynomial diffeomorphisms ofC 2. IV: The measure of maximal entropy and laminar currents	1993	Eric Bedford Mikhail Lyubich John Smillie
+	Quadratic differentials with prescribed singularities and pseudo-Anosov diffeomorphisms	1993	Howard Masur John Smillie
+ PDF Chat	Distribution of periodic points of polynomial diffeomorphisms of C2	1993	Eric Bedford Mikhail Lyubich John Smillie
+	Polynomial diffeomorphisms ofC 2	1992	Eric Bedford John Smillie
+ PDF Chat	Length functions and outer space.	1992	John Smillie Karen Vogtmann
+	Polynomial diffeomorphisms of C2: currents, equilibrium measure and hyperbolicity	1991	Eric Bedford John Smillie
+	Hausdorff Dimension of Sets of Nonergodic Measured Foliations	1991	Howard Masur John Smillie
+	Polynomial Diffeomorphisms of C 2 . II: Stable Manifolds and Recurrence	1991	Eric Bedford John Smillie
+	Automorphisms of SL 2 of Imaginary Quadratic Integers	1991	John Smillie Karen Vogtmann
+ PDF Chat	Polynomial diffeomorphisms of 𝐶². II. Stable manifolds and recurrence	1991	Eric Bedford John Smillie
+	Automorphisms of 𝑆𝐿₂ of imaginary quadratic integers	1991	John Smillie Karen Vogtmann
+ PDF Chat	The entropy of polynomial diffeomorphisms of C<sup>2</sup>	1990	John Smillie
+ PDF Chat	Rayleigh Quotient Iteration for Nonsymmetric Matrices	1990	Steve Batterson John Smillie
+ PDF Chat	Rayleigh quotient iteration for nonsymmetric matrices	1990	Steve Batterson John Smillie
+	The Dynamics of Rayleigh Quotient Iteration	1989	Steve Batterson John Smillie
+	Rayleigh quotient iteration fails for nonsymmetric matrices	1989	Steve Batterson John Smillie
+	Properties of the directional entropy function for cellular automata	1988	John Smillie
+	Automorphisms of graphs, p-subgroups of out(Fn) and the Euler characteristics of Out(Fn)	1987	John Smillie Karen Vogtmann
+	A generating function for the Euler characteristic of out(Fn)	1987	John Smillie Karen Vogtmann
+	Ergodicity of Billiard Flows and Quadratic Differentials	1986	Steven P. Kerckhoff Howard Masur John Smillie
+	Filtrations and Periodic Data on Surfaces	1986	Steve Batterson John Smillie
+ PDF Chat	Smale diffeomorphisms and surface topology	1985	Steve Batterson John Smillie
+ PDF Chat	A rational billiard flow is uniquely ergodic in almost every direction	1985	Steven P. Kerckhoff Howard Masur John Smillie
+	Competitive and Cooperative Tridiagonal Systems of Differential Equations	1984	John Smillie
+	Uniform distribution of horocycle orbits for Fuchsian groups	1984	S. G. Dani John Smillie
+ PDF Chat	Periodic points of surface homeomorphisms with zero entropy	1983	John Smillie
+	An obstruction to the existence of affine structures	1981	John Smillie
+	Flat manifolds with non-zero euler characteristics	1977	John Smillie

Common Coauthors

Coauthor	Papers Together
Eric Bedford	26
Barak Weiss	13
Steve Batterson	6
Karen Vogtmann	5
Corinna Ulcigrai	4
Howard Masur	4
Jon Chaika	4
Matt Bainbridge	3
Kariane Calta	3
Mikhail Lyubich	3
Gregery T. Buzzard	2
Yutaka Ishii	2
Tetsuo Ueda	2
Lorenzo Guerini	2
Florent Ygouf	2
Peter Smillie	2
Steven P. Kerckhoff	2
Carsten Lunde Petersen	1
Dierk Schleicher	1
Osama Khalil	1
Osama Khalil	1
Richard Kenyon	1
S. G. Dani	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Teichm�ller curves in moduli space, Eisenstein series and an application to triangular billiards	1989	William A. Veech	14
+ PDF Chat	Dynamical properties of plane polynomial automorphisms	1989	Shmuel Friedland John Milnor	14
+ PDF Chat	Polynomial diffeomorphisms ofC 2. IV: The measure of maximal entropy and laminar currents	1993	Eric Bedford Mikhail Lyubich John Smillie	13
+	Henon mappings in the complex domain II: projective and inductive limits of polynomials	1994	John H. Hubbard Ralph W. Oberste-Vorth	12
+	Polynomial diffeomorphisms of C2: currents, equilibrium measure and hyperbolicity	1991	Eric Bedford John Smillie	10
+	Hausdorff Dimension of Sets of Nonergodic Measured Foliations	1991	Howard Masur John Smillie	9
+	Veech surfaces and complete periodicity in genus two	2004	Kariane Calta	8
+ PDF Chat	Invariant sets under iteration of rational functions	1965	Hans Brolin	8
+ PDF Chat	Hénon mappings in the complex domain I: The global topology of dynamical space	1994	John H. Hubbard Ralph W. Oberste-Vorth	7
+ PDF Chat	Billiards on almost integrable polyhedral surfaces	1984	Eugène Gutkin	7
+	Polynomial diffeomorphisms ofC 2	1992	Eric Bedford John Smillie	7
+ PDF Chat	Distribution of periodic points of polynomial diffeomorphisms of C2	1993	Eric Bedford Mikhail Lyubich John Smillie	6
+	Topological transitivity of billiards in polygons	1975	A. N. Zemlyakov A. Katok	6
+ PDF Chat	The entropy of polynomial diffeomorphisms of C<sup>2</sup>	1990	John Smillie	6
+ PDF Chat	Billiards and Teichmüller curves on Hilbert modular surfaces	2003	Curtis T. McMullen	6
+	Hénon Mappings in the Complex Domain	1995	John H. Hubbard Ralph W. Oberste-Vorth	6
+	Ergodicity of Billiard Flows and Quadratic Differentials	1986	Steven P. Kerckhoff Howard Masur John Smillie	5
+ PDF Chat	Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials	2001	Alex Eskin Andreĭ Okounkov	5
+	Aspects potentialistes de l’iteration des polynômes	1987	Pierre Tortrat	5
+	Interval Exchange Transformations and Measured Foliations	1982	Howard Masur	5
+	Affine mappings of translation surfaces: geometry and arithmetic	2000	Eugène Gutkin Chris Judge	5
+ PDF Chat	Real polynomial diffeomorphisms with maximal entropy: Tangencies	2004	Eric Bedford John Smillie	5
+ PDF Chat	Cylinder deformations in orbit closures of translation surfaces	2015	Alex Wright	4
+ PDF Chat	Cohomology classes represented by measured foliations, and Mahler's question for interval exchanges	2014	Yair N. Minsky Barak Weiss	4
+ PDF Chat	Local structure of analytic transformations of two complex variables, II	1991	Tetsuo Ueda	4
+	Fine topology, Šilov boundary, and (ddc)n	1987	Eric Bedford B. A. Taylor	4
+	Complex Hénon mappings in ℂ2 and Fatou-Bieberbach domains	1992	John Erik Fornæss Nessim Sibony	4
+ PDF Chat	Polynomial diffeomorphisms of 𝐶². II. Stable manifolds and recurrence	1991	Eric Bedford John Smillie	4
+ PDF Chat	Dynamics of SL<sub>2</sub>(ℝ) over moduli space in genus two	2007	Curtis T. McMullen	4
+	The Dimension of the Maximal Measure for a Polynomial Map	1984	Anthony Manning	4
+	Rational billiards and flat structures	2002	Howard Masur Serge Tabachnikov	4
+	Gauss Measures for Transformations on the Space of Interval Exchange Maps	1982	William A. Veech	4
+ PDF Chat	Polynomial diffeomorphisms of C2: VII. Hyperbolicity and external rays	1999	Eric Bedford John Smillie	4
+	Complex dynamics in higher dimensions	1994	John Erik Fornæss Nessim Sibony	4
+ PDF Chat	Billiards on rational-angled triangles	2000	Richard Kenyon John Smillie	4
+	Shift automorphisms in the H�non mapping	1979	Robert L. Devaney Zbigniew Nitecki	4
+ PDF Chat	Ergodic Theory of the Space of Measured Laminations	2008	Elon Lindenstrauss Maryam Mirzakhani	4
+	Planar structures and billiards in rational polygons: the Veech alternative	1996	З. Д. Воробец	4
+ PDF Chat	A proof of the estimation from below in Pesin's entropy formula	1982	Fran ̧ois Ledrappier Jean-Marie Strelcyn	4
+	Invariant measures of horospherical flows on noncompact homogeneous spaces	1978	S. G. Dani	4
+	Minimal sets for flows on moduli space	2004	John Smillie Barak Weiss	4
+	Fuchsian groups and transitive horocycles	1936	Gustav A. Hedlund	4
+ PDF Chat	Invariants of translation surfaces	2001	Pascal Hubert Thomas Schmidt	3
+	Homology and Dynamical Systems	1982	John Franks	3
+	Tight upper bounds on the number of invariant components on translation surfaces	2008	Yoav Naveh	3
+	Concerning the transitive properties of geodesics on a rational polyhedron	1936	Ralph H. Fox Richard Kershner	3
+	Topics in the Theory of Functions of One Complex Variable	1968	Wolfgang Fuchs	3
+ PDF Chat	Lyapunov exponents, entropy and periodic orbits for diffeomorphisms	1980	A. Katok	3
+	Chapter 13 Rational billiards and flat structures	2002	Howard Masur Serge Tabachnikov	3
+	The Dynamics of the Henon Map	1991	Michael Benedicks Lennart Carleson	3