UH 4018
UNIVERSITY HALL
Birmingham, AL 35294-1241
| Year | Title | Altmetric |
|---|---|---|
| 2019 | Models for spaces of dendritic polynomials.
Transactions of the American Mathematical Society.
372:4829-4849.
2019
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| 2018 | Perfect subspaces of quadratic laminations.
Science in China Series A: Mathematics.
61:2121-2138.
2018
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| 2018 | Complementary components to the cubic principal hyperbolic domain.
Proceedings of the American Mathematical Society.
146:4649-4660.
2018
|
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| 2017 | Non-degenerate locally connected models for plane continua and julia sets.
Psychonomic science.
37:5781-5795.
2017
|
|
| 2017 | Combinatorial models for spaces of cubic polynomials.
Current Opinion in Infectious Diseases.
355:590-595.
2017
|
|
| 2017 | The parameter space of cubic laminations with a fixed critical leaf.
Ergodic Theory and Dynamical Systems.
37:2453-2486.
2017
|
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| 2016 | Laminations from the main cubioid.
Psychonomic science.
36:4665-4702.
2016
|
|
| 2016 | Quadratic-Like Dynamics of Cubic Polynomials.
Cardiovascular Ultrasound.
341:733-749.
2016
|
|
| 2016 | An extended Fatou-Shishikura inequality and wandering branch continua for polynomials.
Bulletin de l'Académie Nationale de Médecine.
288:1121-1174.
2016
|
|
| 2015 | The combinatorial Mandelbrot set as the quotient of the space of
geolaminations.
Cancer Genomics and Proteomics.
2015
|
|
| 2015 | Pointwise-recurrent maps on uniquely arcwise connected locally arcwise connected spaces.
Proceedings of the American Mathematical Society.
143:3985-4000.
2015
|
|
| 2014 | The main cubioid.
Nonlinearity.
27:1879-1897.
2014
|
|
| 2014 | Laminational models for some spaces of polynomials of any degree
2014
|
|
| 2013 | Recurrent and periodic points in dendritic Julia sets.
Proceedings of the American Mathematical Society.
141:3587-3599.
2013
|
|
| 2013 | Laminations in the language of leaves.
Transactions of the American Mathematical Society.
365:5367-5391.
2013
|
|
| 2013 | Fixed point theorems for plane continua with applications.
Memoirs of the American Mathematical Society.
224:1-117.
2013
|
|
| 2013 | Over-rotation numbers for unimodal maps.
Journal of Difference Equations and Applications.
19:1108-1132.
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
|
|
| 2012 | Density of orbits in laminations and the space of critical portraits.
Psychonomic science.
32:2027-2039.
2012
|
|
| 2011 | Topological polynomials with a simple core.
IEEE Transactions on Vehicular Technology.
2011
|
|
| 2011 | Non-degenerate quadratic laminations.
Topology Proceedings.
38:313-360.
2011
|
|
| 2011 | Locally connected models for Julia sets.
Bulletin de l'Académie Nationale de Médecine.
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
|
|
| 2009 | Local critical perturbations of unimodal maps.
Cardiovascular Ultrasound.
289:765-776.
2009
|
|
| 2009 | The julia sets of basic unicremer polynomials of arbitrary degree.
In S. H. Johnson (Ed.), High Risk Parenting, 2nd Ed. Philadelphia: Lippincott.
13:139-159.
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
|
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| 2009 | Asymptotic behaviour of the entropy of interval maps.
Journal of Difference Equations and Applications.
15:1-11.
2009
|
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| 2008 | Fixed points in non-invariant plane continua
2008
|
|
| 2007 | Planar finitely suslinian compacta.
Proceedings of the American Mathematical Society.
135:3755-3764.
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.
Topology and its Applications.
153:3038-3050.
2006
|
|
| 2006 | Rotation sets of billiards with one obstacle.
Cardiovascular Ultrasound.
266:239-265.
2006
|
|
| 2006 | Applications of almost one-to-one maps.
Topology and its Applications.
153:1571-1585.
2006
|
|
| 2006 | Rotational subsets of the circle under zd.
Topology and its Applications.
153:1540-1570.
2006
|
|
| 2005 | Julia sets of expanding polymodials.
Ergodic Theory and Dynamical Systems.
25:1691-1718.
2005
|
|
| 2005 | Attractors and recurrence for dendrite-critical polynomials.
Journal of Mathematical Analysis and Applications.
306:567-588.
2005
|
|
| 2005 | Branched derivatives.
Nonlinearity.
18:703-715.
2005
|
|
| 2005 | On minimal maps of 2-manifolds.
Ergodic Theory and Dynamical Systems.
25:41-57.
2005
|
|
| 2005 | Necessary conditions for the existence of wandering triangles for cubic laminations.
Psychonomic science.
13:13-34.
2005
|
|
| 2004 | Wandering triangles exist.
Current Opinion in Infectious Diseases.
339:365-370.
2004
|
|
| 2004 | Backward stability for polynomial maps with locally connected Julia sets.
Transactions of the American Mathematical Society.
356:119-133.
2004
|
|
| 2003 | How little is little enough?.
Psychonomic science.
9:969-978.
2003
|
|
| 2003 | Erratum: Typical limit sets of critical points for smooth interval maps (Ergodic Theory and Dynamical System (2000) 20 (15-45)).
Ergodic Theory and Dynamical Systems.
23:661.
2003
|
|
| 2003 | On graph-realizable sets of periods.
Journal of Difference Equations and Applications.
9:343-357.
2003
|
|
| 2002 | Sets that force recurrence.
Proceedings of the American Mathematical Society.
130:3571-3578.
2002
|
|
| 2002 | An inequality for laminations, Julia sets and 'growing trees'.
Ergodic Theory and Dynamical Systems.
22:63-97.
2002
|
|
| 2002 | On dynamics of vertices of locally connected polynomial Julia sets.
Proceedings of the American Mathematical Society.
130:3219-3230.
2002
|
|
| 2002 | Attractors for graph critical rational maps.
Transactions of the American Mathematical Society.
354:3639-3661.
2002
|
|
| 2001 | Rotation numbers for certain maps of an n-od.
Topology and its Applications.
114:27-48.
2001
|
|
| 2000 | Recurrent critical points and typical limit sets for conformal measures.
Topology and its Applications.
108:233-244.
2000
|
|
| 2000 | Typical limit sets of critical points for smooth interval maps.
Ergodic Theory and Dynamical Systems.
20:15-45.
2000
|
|
| 1999 | Recurrent critical points and typical limit sets of rational maps.
Proceedings of the American Mathematical Society.
127:1215-1220.
1999
|
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| 1999 | Rotating an interval and a circle.
Transactions of the American Mathematical Society.
351:63-78.
1999
|
|
| 1998 | Dense set of negative Schwarzian maps whose critical points have minimal limit sets.
Psychonomic science.
4:141-158.
1998
|
|
| 1998 | Collet-Eckmann maps are unstable.
Cardiovascular Ultrasound.
191:61-70.
1998
|
|
| 1998 | Wild attractors of polymodal negative Schwarzian maps.
Cardiovascular Ultrasound.
199:397-416.
1998
|
|
| 1997 | Entropy of twist interval maps.
Israel Journal of Mathematics.
102:61-99.
1997
|
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| 1997 | New order for periodic orbits of interval maps.
Ergodic Theory and Dynamical Systems.
17:565-574.
1997
|
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| 1996 | The space of ω-limit sets of a continuous map of the interval.
Transactions of the American Mathematical Society.
348:1357-1372.
1996
|
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| 1996 | Sharkovskiǐ type of cycles.
Tamkang Journal of Science and Engineering.
28:417-424.
1996
|
|
| 1995 | OPEN PROBLEMS SESSION.
International Journal of Bifurcation and Chaos.
05:1303-1305.
1995
|
|
| 1995 | Functional rotation numbers for one-dimensional maps.
Transactions of the American Mathematical Society.
347:499-513.
1995
|
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| 1995 | Rotation numbers, twists and a Sharkovskii–Misiurewicz-type ordering for patterns on the interval.
Ergodic Theory and Dynamical Systems.
15:1-14.
1995
|
|
| 1994 | On rotation intervals for interval maps.
Nonlinearity.
7:1395-1417.
1994
|
|
| 1994 | Trees with snowflakes and zero entropy maps.
Topology.
33:379-396.
1994
|
|
| 1992 | Periods implying almost all periods for tree maps.
Nonlinearity.
5:1375-1382.
1992
|
|
| 1992 | The set of all iterates is nowhere dense in c([0, 1], [0, 1]).
Transactions of the American Mathematical Society.
333:787-798.
1992
|
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| 1991 | The "spectral" decomposition for one-dimensional maps.
College Teaching.
1991
|
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| 1991 | Periods implying almost all periods, trees with snowflakes, and zero
entropy maps.
Topology , #2 33 (1994), 379-396; Nonlineraity 5 (1992), 1375-1382.
1991
|
|
| 1990 | Measure of solenoidal attractors of unimodal maps of the segment.
Matematicheskie Zametki / Mathematical Notes.
48:1085-1090.
1990
|
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| 1990 | On dynamical systems on one-dimensional branched manifolds. III.
Journal of Mathematical Sciences.
49:875-883.
1990
|
|
| 1990 | Typical behavior of the trajectories of transformations of a segment.
Journal of Mathematical Sciences.
49:1037-1044.
1990
|
|
| 1990 | Dynamical systems on one-dimensional branched manifolds. II.
Journal of Mathematical Sciences.
48:668-674.
1990
|
|
| 1990 | Dynamical systems on one-dimensional branched manifolds. I.
Journal of Mathematical Sciences.
48:500-508.
1990
|
|
| 1990 | Measure and dimension of solenoidal attractors of one dimensional dynamical systems.
Cardiovascular Ultrasound.
127:573-583.
1990
|
|
| 1989 | Ergodicity of transitive unimodal transformations of a segment.
Ukrainian Mathematical Journal.
41:841-844.
1989
|
|
| 1989 | Ergodic properties of transformations of an interval.
Functional Analysis and Its Applications.
23:48-49.
1989
|
|
| 1989 | Non-existence of wandering intervals and structure of topological attractors of one dimensional dynamical systems 2. The smooth case.
Ergodic Theory and Dynamical Systems.
9:751-758.
1989
|
|
| 1987 | Letter to the editor.
Russian Mathematical Surveys.
42:249.
1987
|
|
| 1987 | On the connection between entropy and transitivity for one-dimensional mappings.
Russian Mathematical Surveys.
42:165-166.
1987
|
|
| 1987 | Attractors of transformations of an interval.
Functional Analysis and Its Applications.
21:148-150.
1987
|
|
| 1983 | Decomposition of dynamical systems on an interval.
Russian Mathematical Surveys.
38:133-134.
1983
|
|
| 1982 | On the "spectral decomposition" for piecewise-monotone maps of segments.
Russian Mathematical Surveys.
37:198-199.
1982
|
|
| 1982 | On sensitive mappings of the interval.
Russian Mathematical Surveys.
37:203-204.
1982
|
|
| 1982 | On the limit behaviour of one-dimensional dynamical systems.
Russian Mathematical Surveys.
37:157-158.
1982
|
|
| 1969 | Experience with the use of computers in the diagnosis of multiple sclerosis.
Zhurnal nevropatologii i psikhiatrii imeni S.S. Korsakova (Moscow, Russia : 1952).
69:1624-1628.
1969
|
|
| Forcing among patterns with no block structure.
Topology Proceedings, vol. 54 (2019), 125-137.
|
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| Location of Siegel capture polynomials in parameter spaces
|
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| Slices of Parameter Space of Cubic Polynomials
|
| Year | Title | Altmetric |
|---|---|---|
| 2014 | Dynamical cores of topological polynomials.
27-48.
2014
|
