| Year |
Title |
Altmetric |
| 2021
|
Location of Siegel capture polynomials in parameter spaces.
Nonlinearity.
34:2430-2453.
2021
|
|
| 2020
|
Laminational Models for Some Spaces of Polynomials of Any Degree.
Memoirs of the American Mathematical Society.
265:1-118.
2020
|
|
| 2019
|
Models for spaces of dendritic polynomials.
Transactions of the American Mathematical Society.
372:4829-4849.
2019
|
|
| 2019
|
Forcing among patterns with no block structure.
Topology Proceedings.
54:125-137.
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
|
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
|
|
| 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
|
|
| 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
|
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
|
|
| 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
|
Non-degenerate quadratic laminations.
Topology Proceedings.
38:313-360.
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
|
|
| 2009
|
Local critical perturbations of unimodal maps.
Communications in Mathematical Physics.
289:765-776.
2009
|
|
| 2009
|
The julia sets of basic unicremer polynomials of arbitrary degree.
Conformal Geometry and Dynamics.
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
|
|
| 2009
|
Asymptotic behaviour of the entropy of interval maps.
Journal of Difference Equations and Applications.
15:1-11.
2009
|
|
| 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
2006
|
|
| 2006
|
Rotation sets of billiards with one obstacle.
Communications in Mathematical Physics.
266:239-265.
2006
|
|
| 2006
|
Applications of almost one-to-one maps
2006
|
|
| 2006
|
Rotational subsets of the circle under zd
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
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
|
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
|
|
| 2003
|
How little is little enough?
2003
|
|
| 2002
|
Sets that force recurrence.
Proceedings of the American Mathematical Society.
130:3571-3578.
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
|
|
| 2002
|
An inequality for laminations, Julia sets and 'growing trees'.
Ergodic Theory and Dynamical Systems.
22:63-97.
2002
|
|
| 2001
|
Rotation numbers for certain maps of an n-od
2001
|
|
| 2000
|
Recurrent critical points and typical limit sets for conformal measures
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
|
|
| 1999
|
Rotating an interval and a circle.
Transactions of the American Mathematical Society.
351:63-78.
1999
|
|
| 1998
|
Collet-Eckmann maps are unstable.
Communications in Mathematical Physics.
191:61-70.
1998
|
|
| 1998
|
Dense set of negative Schwarzian maps whose critical points have minimal limit sets
1998
|
|
| 1998
|
Wild attractors of polymodal negative Schwarzian maps.
Communications in Mathematical Physics.
199:397-416.
1998
|
|
| 1997
|
Entropy of twist interval maps.
Israel Journal of Mathematics.
102:61-99.
1997
|
|
| 1997
|
New order for periodic orbits of interval maps.
Ergodic Theory and Dynamical Systems.
17:565-574.
1997
|
|
| 1996
|
Sharkovskiǐ type of cycles.
Bulletin of the London Mathematical Society.
28:417-424.
1996
|
|
| 1996
|
The space of ω-limit sets of a continuous map of the interval.
Transactions of the American Mathematical Society.
348:1357-1372.
1996
|
|
| 1995
|
OPEN PROBLEMS SESSION
1995
|
|
| 1995
|
Functional rotation numbers for one-dimensional maps.
Transactions of the American Mathematical Society.
347:499-513.
1995
|
|
| 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
|
|
| 1990
|
Measure of solenoidal attractors of unimodal maps of the segment
1990
|
|
| 1990
|
On dynamical systems on one-dimensional branched manifolds. III
1990
|
|
| 1990
|
Typical behavior of the trajectories of transformations of a segment
1990
|
|
| 1990
|
Dynamical systems on one-dimensional branched manifolds. II
1990
|
|
| 1990
|
Dynamical systems on one-dimensional branched manifolds. I
1990
|
|
| 1990
|
Measure and dimension of solenoidal attractors of one dimensional dynamical systems.
Communications in Mathematical Physics.
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
|
|
| |
Fixed points in non-invariant plane continua
|
|
| |
Periods implying almost all periods, trees with snowflakes, and zero
entropy maps.
Topology , #2 33 (1994), 379-396; Nonlineraity 5 (1992), 1375-1382.
|
|
| |
Slices of Parameter Space of Cubic Polynomials
|
|
| |
The "spectral" decomposition for one-dimensional maps.
Dynamics Reported 4 (1995), 1-59.
|
|
| |
Topological polynomials with a simple core
|
|
