Alexander Blokh

Alexander Blokh
Professor

Professor (P), Mathematics , College of Arts and Sciences 2011 -

Selected Publications

Academic Article

Year	Title	Altmetric
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	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
2015	Pointwise-recurrent maps on uniquely arcwise connected locally arcwise connected spaces 2015
2014	The main cubioid 2014
2014	Laminational models for some spaces of polynomials of any degree 2014
2013	Recurrent and periodic points in dendritic Julia sets 2013
2013	Laminations in the language of leaves 2013
2013	Fixed point theorems for plane continua with applications 2013
2013	Over-rotation numbers for unimodal maps 2013
2013	Cubic critical portraits and polynomials with wandering gaps 2013
2013	Finitely suslinian models for planar compacta with applications to julia sets 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	Locally connected models for Julia sets 2011
2010	Monotone images of cremer julia sets 2010
2010	The solar Julia sets of basic quadratic Cremer polynomials 2010
2009	Local critical perturbations of unimodal maps 2009
2009	The julia sets of basic unicremer polynomials of arbitrary degree 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
2009	Asymptotic behaviour of the entropy of interval maps 2009
2008	Fixed points in non-invariant plane continua 2008
2007	Planar finitely suslinian compacta 2007
2006	On almost one-to-one maps 2006
2006	The Julia sets of quadratic Cremer polynomials 2006
2006	Rotation sets of billiards with one obstacle 2006
2006	Applications of almost one-to-one maps 2006
2006	Rotational subsets of the circle under z^d 2006
2005	Julia sets of expanding polymodials 2005
2005	Attractors and recurrence for dendrite-critical polynomials 2005
2005	Branched derivatives 2005
2005	On minimal maps of 2-manifolds 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 2004
2003	How little is little enough? 2003
2003	Erratum: Typical limit sets of critical points for smooth interval maps (Ergodic Theory and Dynamical System (2000) 20 (15-45)) 2003
2003	On graph-realizable sets of periods 2003
2002	Sets that force recurrence 2002
2002	An inequality for laminations, Julia sets and 'growing trees' 2002
2002	On dynamics of vertices of locally connected polynomial Julia sets 2002
2002	Attractors for graph critical rational maps 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 2000
1999	Recurrent critical points and typical limit sets of rational maps 1999
1999	Rotating an interval and a circle 1999
1998	Dense set of negative Schwarzian maps whose critical points have minimal limit sets 1998
1998	Collet-Eckmann maps are unstable 1998
1998	Wild attractors of polymodal negative Schwarzian maps 1998
1997	Entropy of twist interval maps 1997
1997	New order for periodic orbits of interval maps 1997
1996	The space of ω-limit sets of a continuous map of the interval 1996
1996	Sharkovskiǐ type of cycles 1996
1995	OPEN PROBLEMS SESSION 1995
1995	Functional rotation numbers for one-dimensional maps 1995
1995	Rotation numbers, twists and a Sharkovskii–Misiurewicz-type ordering for patterns on the interval 1995
1994	On rotation intervals for interval maps 1994
1994	Trees with snowflakes and zero entropy maps 1994
1992	Periods implying almost all periods for tree maps 1992
1992	The set of all iterates is nowhere dense in c([0, 1], [0, 1]) 1992
1991	The "spectral" decomposition for one-dimensional maps 1991
1991	Periods implying almost all periods, trees with snowflakes, and zero entropy maps 1991
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 1990
1989	Ergodicity of transitive unimodal transformations of a segment 1989
1989	Ergodic properties of transformations of an interval 1989
1989	Non-existence of wandering intervals and structure of topological attractors of one dimensional dynamical systems 2. The smooth case 1989
1987	Letter to the editor 1987
1987	On the connection between entropy and transitivity for one-dimensional mappings 1987
1987	Attractors of transformations of an interval 1987
1983	Decomposition of dynamical systems on an interval 1983
1982	On the "spectral decomposition" for piecewise-monotone maps of segments 1982
1982	On sensitive mappings of the interval 1982
1982	On the limit behaviour of one-dimensional dynamical systems 1982
1969	Experience with the use of computers in the diagnosis of multiple sclerosis 1969
	Forcing among patterns with no block structure
	Location of Siegel capture polynomials in parameter spaces
	Slices of Parameter Space of Cubic Polynomials