Positions

Selected Publications

Academic Article

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.  Science China Mathematics.  61:2121-2138. 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 Slices of Parameter Space of Cubic Polynomials 2016
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 Topological polynomials with a simple core 2011
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
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 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
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.  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 nevrologii i psikhiatrii imeni S.S. Korsakova / Ministerstvo zdravookhraneniia i meditsinskoi promyshlennosti Rossiiskoi Federatsii, Vserossiiskoe obshchestvo nevrologov [i] Vserossiiskoe obshchestvo psikhiatrov.  69:1624-1628. 1969

Chapter

Year Title Altmetric
2014 Dynamical cores of topological polynomials.  27-48. 2014

Teaching Activities

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    • Education And Training

  • Doctor of Philosophy in Mathematics, Voronezh State University 1985

    • Full Name

  • Alexander Blokh