| Year | Title | Altmetric |
|---|---|---|
| 2021 | Location of Siegel capture polynomials in parameter spaces.
Nonlinearity.
34:2430-2453.
2021
|
|
| 2020 | A complete classification of hereditarily equivalent plane continua.
Advances in Mathematics.
368.
2020
|
|
| 2020 | Laminational Models for Some Spaces of Polynomials of Any Degree.
Memoirs of the American Mathematical Society.
265:1-118.
2020
|
|
| 2020 | A canonical parameterization of paths in Rn.
HOUSTON JOURNAL OF MATHEMATICS.
46:465-489.
2020
|
|
| 2020 | Dynamical generation of parameter laminations.
Contemporary Mathematics.
744:205-229.
2020
|
|
| 2019 | Extension of isotopies in the plane.
Transactions of the American Mathematical Society.
372:4889-4915.
2019
|
|
| 2019 | Models for spaces of dendritic polynomials.
Transactions of the American Mathematical Society.
372:4829-4849.
2019
|
|
| 2018 | Perfect subspaces of quadratic laminations
2018
|
|
| 2018 | Complementary components to the cubic principal hyperbolic domain.
Proceedings 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 leaf.
Ergodic Theory and Dynamical Systems.
37:2453-2486.
2017
|
|
| 2016 | Laminations from the main cubioid
2016
|
|
| 2016 | A complete classification of homogeneous plane continua.
Acta Mathematica.
216:177-216.
2016
|
|
| 2016 | Quadratic-Like Dynamics of Cubic Polynomials.
Communications in Mathematical Physics.
341:733-749.
2016
|
|
| 2016 | An extended Fatou-Shishikura inequality and wandering branch continua for polynomials.
Advances in Mathematics.
288:1121-1174.
2016
|
|
| 2016 | The combinatorial mandelbrot set as the quotient of the space of geolaminations.
Contemporary Mathematics.
669:37-62.
2016
|
|
| 2014 | The main cubioid.
Nonlinearity.
27:1879-1897.
2014
|
|
| 2013 | Laminations in the language of leaves.
Transactions of the American Mathematical Society.
365:5367-5391.
2013
|
|
| 2013 | Cubic critical portraits and polynomials with wandering gaps.
Ergodic Theory and Dynamical Systems.
33:713-738.
2013
|
|
| 2013 | Finitely suslinian models for planar compacta with applications to julia sets.
Proceedings 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 applications.
Memoirs 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 laminations.
Topology Proceedings.
38:313-360.
2011
|
|
| 2011 | Characterizing isotopic continua in the sphere.
Proceedings of the American Mathematical Society.
139:1495-1510.
2011
|
|
| 2011 | Locally connected models for Julia sets.
Advances in Mathematics.
226:1621-1661.
2011
|
|
| 2010 | Monotone images of cremer julia sets.
HOUSTON JOURNAL OF MATHEMATICS.
36:469-476.
2010
|
|
| 2010 | The solar Julia sets of basic quadratic Cremer polynomials.
Ergodic Theory and Dynamical Systems.
30:51-65.
2010
|
|
| 2010 | Extending isotopies of planar continua.
Annals of Mathematics.
172:2105-2133.
2010
|
|
| 2009 | The julia sets of basic unicremer polynomials of arbitrary degree.
Conformal 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 metric.
Proceedings of the American Mathematical Society.
137:733-743.
2009
|
|
| 2009 | A fixed point theorem for branched covering maps of the plane.
Fundamenta 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 compacta.
Proceedings of the American Mathematical Society.
135:3755-3764.
2007
|
|
| 2007 | On open maps between dendrites.
HOUSTON JOURNAL OF MATHEMATICS.
33:753-770.
2007
|
|
| 2006 | On almost one-to-one maps.
Transactions 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-manifolds.
Ergodic Theory and Dynamical Systems.
25:41-57.
2005
|
|
| 2004 | Wandering triangles exist
2004
|
|
| 2004 | Backward stability for polynomial maps with locally connected Julia sets.
Transactions of the American Mathematical Society.
356:119-133.
2004
|
|
| 2003 | On confluently graph-like compacta.
Fundamenta Mathematicae.
178:109-127.
2003
|
|
| 2002 | On mappings which are not semi-conjugate to interval maps.
HOUSTON JOURNAL OF MATHEMATICS.
28:807-814.
2002
|
|
| 2002 | Homogeneous weak solenoids.
Transactions 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 sets.
Transactions of the American Mathematical Society.
351:1171-1201.
1999
|
|
| 1999 | Recurrent critical points and typical limit sets of rational maps.
Proceedings of the American Mathematical Society.
127:1215-1220.
1999
|
|
| 1996 | The geometry of laminations.
Fundamenta Mathematicae.
151:195-207.
1996
|
|
| 1996 | On homogeneous totally disconnected 1-dimensional spaces.
Fundamenta Mathematicae.
150:97-112.
1996
|
|
| 1995 | THE HOMEOMORPHISM GROUP OF THE HAIRY ARC.
Compositio Mathematica.
96:283-292.
1995
|
|
| 1995 | CONTINUUM CHAINABILITY WITHOUT ARCS.
HOUSTON JOURNAL OF MATHEMATICS.
21:407-411.
1995
|
|
| 1994 | ON THE DIMENSION OF CERTAIN TOTALLY DISCONNECTED SPACES.
Proceedings of the American Mathematical Society.
122:885-891.
1994
|
|
| 1994 | The Dynamics of the Sierpinski Curve.
Proceedings of the American Mathematical Society.
120:965-965.
1994
|
|
| 1994 | On the dimension of certain totally disconnected spaces.
Proceedings of the American Mathematical Society.
122:885-891.
1994
|
|
| 1994 | The dynamics of the sierpinski curve.
Proceedings of the American Mathematical Society.
120:965-968.
1994
|
|
| 1993 | The geometry of julia sets.
Transactions of the American Mathematical Society.
338:897-918.
1993
|
|
| 1992 | Characterization of Separable Metric R-Trees.
Proceedings of the American Mathematical Society.
115:257-257.
1992
|
|
| 1992 | A recurrent nonrotational homeomorphism on the annulus.
Transactions of the American Mathematical Society.
333:865-875.
1992
|
|
| 1992 | Characterization of separable metric R-trees.
Proceedings of the American Mathematical Society.
115:257-264.
1992
|
|
| 1992 | Universal spaces for R-trees.
Transactions of the American Mathematical Society.
334:411-432.
1992
|
|
| 1991 | On one-to-one continuous images of R
1991
|
|
| 1991 | FACTORIZATIONS OF MAPPINGS THROUGH ARCS.
HOUSTON JOURNAL OF MATHEMATICS.
17:443-451.
1991
|
|
| 1991 | Flowbox manifolds.
Transactions of the American Mathematical Society.
327:449-463.
1991
|
|
| 1991 | The orientability of matchbox manifolds1.
Pacific Journal of Mathematics.
150:1-12.
1991
|
|
| 1990 | Recurrent Homeomorphisms on ℝ 2 are Periodic.
Proceedings of the American Mathematical Society.
110:1083-1083.
1990
|
|
| 1990 | A CHARACTERIZATION OF SMOOTH CANTOR BOUQUETS.
Proceedings of the American Mathematical Society.
108:529-534.
1990
|
|
| 1990 | A characterization of smooth cantor bouquets.
Proceedings of the American Mathematical Society.
108:529-534.
1990
|
|
| 1990 | A topological characterization of r-trees.
Transactions of the American Mathematical Society.
320:395-415.
1990
|
|
| 1990 | On hereditarily decomposable hereditarily equivalent non-metric continua.
Fundamenta Mathematicae.
136:1-12.
1990
|
|
| 1990 | Recurrent homeomorphisms on ℝ2 are periodic.
Proceedings of the American Mathematical Society.
110:1083-1088.
1990
|
|
| 1990 | The product structure of homogeneous spaces.
Indagationes Mathematicae.
1:1-5.
1990
|
|
| 1985 | Open and monotone fixed point free maps on uniquely arcwise connected continua.
Proceedings of the American Mathematical Society.
95:476-482.
1985
|
|
| 1983 | Subcontinua with degenerate tranches in hereditarily decomposable continua.
Transactions of the American Mathematical Society.
278:717-724.
1983
|
|
| 1982 | Fixed point sets of products and cones.
Pacific Journal of Mathematics.
101:133-139.
1982
|
|
| 1982 | Fixed-point-free maps on tree-like continua
1982
|
|
| 1981 | On atriodic tree-like continua.
Proceedings of the American Mathematical Society.
83:201-204.
1981
|
|
| 1980 | Every contractible fan is locally connected at its vertex.
Transactions of the American Mathematical Society.
260:379-402.
1980
|
|
| 1979 | Fans and embeddings in the plane.
Pacific Journal of Mathematics.
83:495-503.
1979
|
|
| Slices of Parameter Space of Cubic Polynomials
|
| Year | Title | Altmetric |
|---|---|---|
| 2014 | Dynamical cores of topological polynomials.
27-48.
2014
|
|
| 2009 | Wandering gaps for weakly hyperbolic polynomials.
139-168.
2009
|
