Lex Oversteegen

Selected Publications

Academic Article

Year	Title	Altmetric
2019	Extension of isotopies in the plane 2019
2019	Models for spaces of dendritic polynomials 2019
2018	Perfect subspaces of quadratic laminations 2018
2018	Complementary components to the cubic principal hyperbolic domain 2018
2017	Non-degenerate locally connected models for plane continua and julia sets 2017
2017	Combinatorial models for spaces of cubic polynomials 2017
2017	The parameter space of cubic laminations with a fixed critical leaf 2017
2016	Laminations from the main cubioid 2016
2016	A complete classification of homogeneous plane continua 2016
2016	Quadratic-Like Dynamics of Cubic Polynomials 2016
2016	An extended Fatou-Shishikura inequality and wandering branch continua for polynomials 2016
2015	The combinatorial Mandelbrot set as the quotient of the space of geolaminations 2015
2014	The main cubioid 2014
2014	Laminational models for some spaces of polynomials of any degree 2014
2013	Laminations in the language of leaves 2013
2013	Fixed point theorems for plane continua with applications 2013
2013	Cubic critical portraits and polynomials with wandering gaps 2013
2013	Finitely suslinian models for planar compacta with applications to julia sets 2013
2013	A canonical parameterization of paths in $\mathbb{R}^n$ 2013
2012	Density of orbits in laminations and the space of critical portraits 2012
2011	Topological polynomials with a simple core 2011
2011	Non-degenerate quadratic laminations 2011
2011	Characterizing isotopic continua in the sphere 2011
2011	Locally connected models for Julia sets 2011
2010	Extending isotopies of planar continua 2010
2010	Monotone images of cremer julia sets 2010
2010	The solar Julia sets of basic quadratic Cremer polynomials 2010
2009	The julia sets of basic unicremer polynomials of arbitrary degree 2009
2009	Centerlines of regions in the sphere 2009
2009	Sets of constant distance from a compact set in 2-manifolds with a geodesic metric 2009
2009	A fixed point theorem for branched covering maps of the plane 2009
2008	Fixed points in non-invariant plane continua 2008
2008	The plane fixed point problem 2008
2007	Planar finitely suslinian compacta 2007
2007	On open maps between dendrites 2007
2006	On almost one-to-one maps 2006
2006	The Julia sets of quadratic Cremer polynomials 2006
2006	Applications of almost one-to-one maps 2006
2006	Rotational subsets of the circle under z^d 2006
2005	Extensions of zero-dimensional dynamical systems and hyperbolic attractors 2005
2005	On minimal maps of 2-manifolds 2005
2004	Wandering triangles exist 2004
2004	Backward stability for polynomial maps with locally connected Julia sets 2004
2003	On confluently graph-like compacta 2003
2002	On mappings which are not semi-conjugate to interval maps 2002
2002	Homogeneous weak solenoids 2002
2001	Cantor sets of arcs in decomposable local Siegel disk boundaries 2001
2000	Confluent images of the hairy arc 2000
2000	Recurrent critical points and typical limit sets for conformal measures 2000
1999	Building blocks for quadratic julia sets 1999
1999	Recurrent critical points and typical limit sets of rational maps 1999
1996	The geometry of laminations 1996
1996	On homogeneous totally disconnected 1-dimensional spaces 1996
1995	THE HOMEOMORPHISM GROUP OF THE HAIRY ARC 1995
1995	CONTINUUM CHAINABILITY WITHOUT ARCS 1995
1994	ON THE DIMENSION OF CERTAIN TOTALLY DISCONNECTED SPACES 1994
1994	The Dynamics of the Sierpinski Curve 1994
1994	On the dimension of certain totally disconnected spaces 1994
1994	The dynamics of the sierpinski curve 1994
1993	The geometry of julia sets 1993
1992	Characterization of Separable Metric R-Trees 1992
1992	A recurrent nonrotational homeomorphism on the annulus 1992
1992	Characterization of separable metric R-trees 1992
1992	Universal spaces for R-trees 1992
1991	On one-to-one continuous images of R 1991
1991	FACTORIZATIONS OF MAPPINGS THROUGH ARCS 1991
1991	Flowbox manifolds 1991
1991	The orientability of matchbox manifolds¹ 1991
1990	Recurrent Homeomorphisms on ℝ 2 are Periodic 1990
1990	A CHARACTERIZATION OF SMOOTH CANTOR BOUQUETS 1990
1990	A characterization of smooth cantor bouquets 1990
1990	A topological characterization of r-trees 1990
1990	On hereditarily decomposable hereditarily equivalent non-metric continua 1990
1990	Recurrent homeomorphisms on ℝ² are periodic 1990
1990	The product structure of homogeneous spaces 1990
1985	Open and monotone fixed point free maps on uniquely arcwise connected continua 1985
1983	Subcontinua with degenerate tranches in hereditarily decomposable continua 1983
1982	Fixed point sets of products and cones 1982
1982	Fixed-point-free maps on tree-like continua 1982
1981	On atriodic tree-like continua 1981
1980	Every contractible fan is locally connected at its vertex 1980
1979	Fans and embeddings in the plane 1979
	Location of Siegel capture polynomials in parameter spaces
	Slices of Parameter Space of Cubic Polynomials

Chapter

Year	Title	Altmetric
2014	Dynamical cores of topological polynomials. 27-48. 2014
2009	Wandering gaps for weakly hyperbolic polynomials. 139-168. 2009

Lex Oversteegen
Professor

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Selected Publications

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Publications

Selected Publications

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Teaching

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Background

Education And Training

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Full Name

Lex Oversteegen
Professor