Positions

Selected Publications

Academic Article

Year Title Altmetric
2022 SLICES OF THE PARAMETER SPACE OF CUBIC POLYNOMIALSTransactions of the American Mathematical Society.  375:5313-5359. 2022
2022 Cutpoints of Invariant Subcontinua of Polynomial Julia SetsArnold Mathematical Journal.  8:271-284. 2022
2022 Shortest paths in arbitrary plane domainsCanadian Journal of Mathematics.  74:349-367. 2022
2022 MODELING CORE PARTS OF ZAKERI SLICES IMoscow Mathematical Journal.  22:265-294. 2022
2021 Location of Siegel capture polynomials in parameter spacesNonlinearity.  34:2430-2453. 2021
2020 A complete classification of hereditarily equivalent plane continuaAdvances in Mathematics.  368. 2020
2020 Laminational Models for Some Spaces of Polynomials of Any DegreeMemoirs of the American Mathematical Society.  265:1-118. 2020
2020 A canonical parameterization of paths in RnHouston Journal of Mathematics.  46:465-489. 2020
2020 Dynamical generation of parameter laminationsContemporary Mathematics.  744:205-229. 2020
2019 Extension of isotopies in the planeTransactions of the American Mathematical Society.  372:4889-4915. 2019
2019 Models for spaces of dendritic polynomialsTransactions of the American Mathematical Society.  372:4829-4849. 2019
2018 Perfect subspaces of quadratic laminationsScience China Mathematics.  61:2121-2138. 2018
2018 Complementary components to the cubic principal hyperbolic domainProceedings of the American Mathematical Society.  146:4649-4660. 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 leafErgodic Theory and Dynamical Systems.  37:2453-2486. 2017
2016 Slices of Parameter Space of Cubic Polynomials 2016
2016 Laminations from the main cubioid 2016
2016 A complete classification of homogeneous plane continuaActa Mathematica.  216:177-216. 2016
2016 Quadratic-Like Dynamics of Cubic PolynomialsCommunications in Mathematical Physics.  341:733-749. 2016
2016 An extended Fatou-Shishikura inequality and wandering branch continua for polynomialsAdvances in Mathematics.  288:1121-1174. 2016
2016 The combinatorial mandelbrot set as the quotient of the space of geolaminationsContemporary Mathematics.  669:37-62. 2016
2014 The main cubioidNonlinearity.  27:1879-1897. 2014
2013 Laminations in the language of leavesTransactions of the American Mathematical Society.  365:5367-5391. 2013
2013 Cubic critical portraits and polynomials with wandering gapsErgodic Theory and Dynamical Systems.  33:713-738. 2013
2013 Finitely suslinian models for planar compacta with applications to julia setsProceedings of the American Mathematical Society.  141:1437-1440. 2013
2013 A canonical parameterization of paths in $\mathbb{R}^n$ 2013
2013 Fixed point theorems for plane continua with applicationsMemoirs of the American Mathematical Society.  224:1-117. 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 laminationsTopology Proceedings.  38:313-360. 2011
2011 Characterizing isotopic continua in the sphereProceedings of the American Mathematical Society.  139:1495-1510. 2011
2011 Locally connected models for Julia setsAdvances in Mathematics.  226:1621-1661. 2011
2010 Monotone images of cremer julia setsHouston Journal of Mathematics.  36:469-476. 2010
2010 The solar Julia sets of basic quadratic Cremer polynomialsErgodic Theory and Dynamical Systems.  30:51-65. 2010
2010 Extending isotopies of planar continuaAnnals of Mathematics.  172:2105-2133. 2010
2009 The julia sets of basic unicremer polynomials of arbitrary degreeConformal Geometry and Dynamics.  13:139-159. 2009
2009 Centerlines of regions in the sphere 2009
2009 Sets of constant distance from a compact set in 2-manifolds with a geodesic metricProceedings of the American Mathematical Society.  137:733-743. 2009
2009 A fixed point theorem for branched covering maps of the planeFundamenta Mathematicae.  206:77-111. 2009
2008 Fixed points in non-invariant plane continua 2008
2008 The plane fixed point problem 2008
2007 Planar finitely suslinian compactaProceedings of the American Mathematical Society.  135:3755-3764. 2007
2007 On open maps between dendritesHouston Journal of Mathematics.  33:753-770. 2007
2006 On almost one-to-one mapsTransactions of the American Mathematical Society.  358:5003-5014. 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 zd 2006
2005 Extensions of zero-dimensional dynamical systems and hyperbolic attractors 2005
2005 On minimal maps of 2-manifoldsErgodic Theory and Dynamical Systems.  25:41-57. 2005
2004 Wandering triangles exist 2004
2004 Backward stability for polynomial maps with locally connected Julia setsTransactions of the American Mathematical Society.  356:119-133. 2004
2003 On confluently graph-like compactaFundamenta Mathematicae.  178:109-127. 2003
2002 On mappings which are not semi-conjugate to interval mapsHouston Journal of Mathematics.  28:807-814. 2002
2002 Homogeneous weak solenoidsTransactions of the American Mathematical Society.  354:3743-3755. 2002
2001 Cantor sets of arcs in decomposable local Siegel disk boundaries 2001
2000 Recurrent critical points and typical limit sets for conformal measures 2000
2000 Confluent images of the hairy arc 2000
1999 Building blocks for quadratic julia setsTransactions of the American Mathematical Society.  351:1171-1201. 1999
1999 Recurrent critical points and typical limit sets of rational mapsProceedings of the American Mathematical Society.  127:1215-1220. 1999
1996 The geometry of laminationsFundamenta Mathematicae.  151:195-207. 1996
1996 On homogeneous totally disconnected 1-dimensional spacesFundamenta Mathematicae.  150:97-112. 1996
1995 THE HOMEOMORPHISM GROUP OF THE HAIRY ARCCompositio Mathematica.  96:283-292. 1995
1995 CONTINUUM CHAINABILITY WITHOUT ARCSHouston Journal of Mathematics.  21:407-411. 1995
1994 ON THE DIMENSION OF CERTAIN TOTALLY DISCONNECTED SPACESProceedings of the American Mathematical Society.  122:885-891. 1994
1994 The Dynamics of the Sierpinski CurveProceedings of the American Mathematical Society.  120:965. 1994
1994 On the dimension of certain totally disconnected spacesProceedings of the American Mathematical Society.  122:885-891. 1994
1994 The dynamics of the sierpinski curveProceedings of the American Mathematical Society.  120:965-968. 1994
1993 The geometry of julia setsTransactions of the American Mathematical Society.  338:897-918. 1993
1992 Characterization of Separable Metric R-TreesProceedings of the American Mathematical Society.  115:257. 1992
1992 A recurrent nonrotational homeomorphism on the annulusTransactions of the American Mathematical Society.  333:865-875. 1992
1992 Characterization of separable metric R-treesProceedings of the American Mathematical Society.  115:257-264. 1992
1992 Universal spaces for R-treesTransactions of the American Mathematical Society.  334:411-432. 1992
1991 On one-to-one continuous images of R 1991
1991 FACTORIZATIONS OF MAPPINGS THROUGH ARCSHouston Journal of Mathematics.  17:443-451. 1991
1991 Flowbox manifoldsTransactions of the American Mathematical Society.  327:449-463. 1991
1991 The orientability of matchbox manifolds1Pacific Journal of Mathematics.  150:1-12. 1991
1990 Recurrent Homeomorphisms on ℝ 2 are PeriodicProceedings of the American Mathematical Society.  110:1083. 1990
1990 A CHARACTERIZATION OF SMOOTH CANTOR BOUQUETSProceedings of the American Mathematical Society.  108:529-534. 1990
1990 A characterization of smooth cantor bouquetsProceedings of the American Mathematical Society.  108:529-534. 1990
1990 A topological characterization of r-treesTransactions of the American Mathematical Society.  320:395-415. 1990
1990 On hereditarily decomposable hereditarily equivalent non-metric continuaFundamenta Mathematicae.  136:1-12. 1990
1990 Recurrent homeomorphisms on ℝ2 are periodicProceedings of the American Mathematical Society.  110:1083-1088. 1990
1990 The product structure of homogeneous spacesIndagationes Mathematicae.  1:1-5. 1990
1985 Open and monotone fixed point free maps on uniquely arcwise connected continuaProceedings of the American Mathematical Society.  95:476-482. 1985
1983 Subcontinua with degenerate tranches in hereditarily decomposable continuaTransactions of the American Mathematical Society.  278:717-724. 1983
1982 Fixed point sets of products and conesPacific Journal of Mathematics.  101:133-139. 1982
1982 Fixed-point-free maps on tree-like continua 1982
1981 On atriodic tree-like continuaProceedings of the American Mathematical Society.  83:201-204. 1981
1980 Every contractible fan is locally connected at its vertexTransactions of the American Mathematical Society.  260:379-402. 1980
1979 Fans and embeddings in the planePacific Journal of Mathematics.  83:495-503. 1979

Chapter

Year Title Altmetric
2014 Dynamical cores of topological polynomials.  27-48. 2014
2009 Wandering gaps for weakly hyperbolic polynomials.  139-168. 2009
2003 Continuum Theory.  299-303. 2003

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  • Education And Training

  • Doctor of Philosophy in Mathematics, Wayne State University 1978
  • Full Name

  • Lex Oversteegen