Positions

Selected Publications

Academic Article

Year Title Altmetric
2020 Laminational Models for Some Spaces of Polynomials of Any DegreeMemoirs of the American Mathematical Society.  265:1-118. 2020
2019 Models for spaces of dendritic polynomialsTransactions of the American Mathematical Society.  372:4829-4849. 2019
2019 Forcing among patterns with no block structureTopology Proceedings.  54:125-137. 2019
2018 Perfect subspaces of quadratic laminations 2018
2018 Complementary components to the cubic principal hyperbolic domainProceedings 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 leafErgodic Theory and Dynamical Systems.  37:2453-2486. 2017
2016 Laminations from the main cubioid 2016
2016 Quadratic-Like Dynamics of Cubic PolynomialsCommunications in Mathematical Physics.  341:733-749. 2016
2016 An extended Fatou-Shishikura inequality and wandering branch continua for polynomialsAdvances in Mathematics.  288:1121-1174. 2016
2015 The combinatorial Mandelbrot set as the quotient of the space of geolaminationsContemporary Mathematics, v. 669 (2016), 37-622015
2015 Pointwise-recurrent maps on uniquely arcwise connected locally arcwise connected spacesProceedings of the American Mathematical Society.  143:3985-4000. 2015
2014 The main cubioidNonlinearity.  27:1879-1897. 2014
2013 Recurrent and periodic points in dendritic Julia setsProceedings of the American Mathematical Society.  141:3587-3599. 2013
2013 Laminations in the language of leavesTransactions of the American Mathematical Society.  365:5367-5391. 2013
2013 Over-rotation numbers for unimodal mapsJournal of Difference Equations and Applications.  19:1108-1132. 2013
2013 Cubic critical portraits and polynomials with wandering gapsErgodic Theory and Dynamical Systems.  33:713-738. 2013
2013 Finitely suslinian models for planar compacta with applications to julia setsProceedings of the American Mathematical Society.  141:1437-1440. 2013
2013 Fixed point theorems for plane continua with applicationsMemoirs 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 laminationsTopology Proceedings.  38:313-360. 2011
2011 Locally connected models for Julia setsAdvances in Mathematics.  226:1621-1661. 2011
2010 Monotone images of cremer julia setsHOUSTON JOURNAL OF MATHEMATICS.  36:469-476. 2010
2010 The solar Julia sets of basic quadratic Cremer polynomialsErgodic Theory and Dynamical Systems.  30:51-65. 2010
2009 Local critical perturbations of unimodal mapsCommunications in Mathematical Physics.  289:765-776. 2009
2009 The julia sets of basic unicremer polynomials of arbitrary degreeConformal Geometry and Dynamics.  13:139-159. 2009
2009 Sets of constant distance from a compact set in 2-manifolds with a geodesic metricProceedings of the American Mathematical Society.  137:733-743. 2009
2009 A fixed point theorem for branched covering maps of the planeFundamenta Mathematicae.  206:77-111. 2009
2009 Asymptotic behaviour of the entropy of interval mapsJournal of Difference Equations and Applications.  15:1-11. 2009
2008 Fixed points in non-invariant plane continua 2008
2007 Planar finitely suslinian compactaProceedings of the American Mathematical Society.  135:3755-3764. 2007
2006 On almost one-to-one mapsTransactions 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 obstacleCommunications 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 polymodialsErgodic Theory and Dynamical Systems.  25:1691-1718. 2005
2005 Attractors and recurrence for dendrite-critical polynomialsJournal of Mathematical Analysis and Applications.  306:567-588. 2005
2005 Branched derivativesNonlinearity.  18:703-715. 2005
2005 On minimal maps of 2-manifoldsErgodic 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 setsTransactions 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 periodsJournal of Difference Equations and Applications.  9:343-357. 2003
2003 How little is little enough? 2003
2002 Sets that force recurrenceProceedings of the American Mathematical Society.  130:3571-3578. 2002
2002 On dynamics of vertices of locally connected polynomial Julia setsProceedings of the American Mathematical Society.  130:3219-3230. 2002
2002 Attractors for graph critical rational mapsTransactions 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 mapsErgodic Theory and Dynamical Systems.  20:15-45. 2000
1999 Recurrent critical points and typical limit sets of rational mapsProceedings of the American Mathematical Society.  127:1215-1220. 1999
1999 Rotating an interval and a circleTransactions of the American Mathematical Society.  351:63-78. 1999
1998 Collet-Eckmann maps are unstableCommunications 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 mapsCommunications in Mathematical Physics.  199:397-416. 1998
1997 Entropy of twist interval mapsIsrael Journal of Mathematics.  102:61-99. 1997
1997 New order for periodic orbits of interval mapsErgodic Theory and Dynamical Systems.  17:565-574. 1997
1996 Sharkovskiǐ type of cyclesBulletin of the London Mathematical Society.  28:417-424. 1996
1996 The space of ω-limit sets of a continuous map of the intervalTransactions of the American Mathematical Society.  348:1357-1372. 1996
1995 OPEN PROBLEMS SESSION 1995
1995 Functional rotation numbers for one-dimensional mapsTransactions of the American Mathematical Society.  347:499-513. 1995
1995 Rotation numbers, twists and a Sharkovskii–Misiurewicz-type ordering for patterns on the intervalErgodic Theory and Dynamical Systems.  15:1-14. 1995
1994 On rotation intervals for interval mapsNonlinearity.  7:1395-1417. 1994
1994 Trees with snowflakes and zero entropy mapsTopology.  33:379-396. 1994
1992 Periods implying almost all periods for tree mapsNonlinearity.  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 mapsDynamics Reported 4 (1995), 1-591991
1991 Periods implying almost all periods, trees with snowflakes, and zero entropy mapsTopology , #2 33 (1994), 379-396; Nonlineraity 5 (1992), 1375-13821991
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 systemsCommunications in Mathematical Physics.  127:573-583. 1990
1989 Ergodicity of transitive unimodal transformations of a segmentUkrainian Mathematical Journal.  41:841-844. 1989
1989 Ergodic properties of transformations of an intervalFunctional 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 caseErgodic Theory and Dynamical Systems.  9:751-758. 1989
1987 Letter to the editorRussian Mathematical Surveys.  42:249. 1987
1987 On the connection between entropy and transitivity for one-dimensional mappingsRussian Mathematical Surveys.  42:165-166. 1987
1987 Attractors of transformations of an intervalFunctional Analysis and Its Applications.  21:148-150. 1987
1983 Decomposition of dynamical systems on an intervalRussian Mathematical Surveys.  38:133-134. 1983
1982 On the "spectral decomposition" for piecewise-monotone maps of segmentsRussian Mathematical Surveys.  37:198-199. 1982
1982 On sensitive mappings of the intervalRussian Mathematical Surveys.  37:203-204. 1982
1982 On the limit behaviour of one-dimensional dynamical systemsRussian Mathematical Surveys.  37:157-158. 1982
1969 Experience with the use of computers in the diagnosis of multiple sclerosisZhurnal nevropatologii i psikhiatrii imeni S.S. Korsakova (Moscow, Russia : 1952).  69:1624-1628. 1969
Location of Siegel capture polynomials in parameter spaces
Slices of Parameter Space of Cubic Polynomials

Chapter

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

Teaching Activities

  • MA126 - Calculus II (Summer Term 2020) 2020
  • MA671 - Topology II (Summer Term 2020) 2020
  • MA799 - Dissertation Research (Summer Term 2020) 2020
  • MA798 - Non-Diss Research/Comp Prep (Spring Term 2020) 2020
  • MA125 - Calculus I (Fall Term 2019) 2019
  • MA490 - Mathematics Seminar (Fall Term 2019) 2019
  • MA793 - Special Topics in Mathematics (Fall Term 2019) 2019
  • MA798 - Non-Diss Research/Comp Prep (Fall Term 2019) 2019
  • MA125 - Calculus I (Summer Term 2019) 2019
  • MA126 - Calculus II (Summer Term 2019) 2019
  • MA693 - Special Topics in Mathematics (Summer Term 2019) 2019
  • MA793 - Special Topics in Mathematics (Summer Term 2019) 2019
  • MA125 - Calculus I (Spring Term 2019) 2019
  • MA490 - Mathematics Seminar (Spring Term 2019) 2019
  • MA798 - Non-Diss Research/Comp Prep (Spring Term 2019) 2019
  • MA125 - Calculus I (Fall Term 2018) 2018
  • MA490 - Mathematics Seminar (Fall Term 2018) 2018
  • MA798 - Non-Diss Research/Comp Prep (Fall Term 2018) 2018
  • MA125 - Calculus I (Summer Term 2018) 2018
  • MA671 - Topology II (Summer Term 2018) 2018
  • MA798 - Non-Diss Research/Comp Prep (Summer Term 2018) 2018
  • MA125 - Calculus I (Spring Term 2018) 2018
  • MA490 - Mathematics Seminar (Spring Term 2018) 2018
  • MA695 - Special Topics in Mathematics (Spring Term 2018) 2018
  • MA125 - Calculus I (Fall Term 2017) 2017
  • MA125 - Calculus I (Fall Term 2017) 2017
  • MA490 - Mathematics Seminar (Fall Term 2017) 2017
  • MA798 - Non-Diss Research/Comp Prep (Fall Term 2017) 2017
  • MA126 - Calculus II (Summer Term 2017) 2017
  • MA671 - Topology II (Summer Term 2017) 2017
  • MA693 - Special Topics in Mathematics (Summer Term 2017) 2017
  • MA125 - Calculus I (Spring Term 2017) 2017
  • MA490 - Mathematics Seminar (Spring Term 2017) 2017
  • MA125 - Calculus I (Fall Term 2016) 2016
  • MA490 - Mathematics Seminar (Fall Term 2016) 2016
  • MA126 - Calculus II (Summer Term 2016) 2016
  • MA126 - Calculus II (Summer Term 2016) 2016
  • MA125 - Calculus I (Spring Term 2016) 2016
  • MA125 - Calculus I (Fall Term 2015) 2015
  • MA125 - Calculus I (Fall Term 2015) 2015
  • MA398 - Research in Mathematics (Fall Term 2015) 2015
  • MA490 - Mathematics Seminar (Fall Term 2015) 2015
  • MA491 - Special Topics in Mathematics (Fall Term 2015) 2015
  • MA693 - Special Topics in Mathematics (Fall Term 2015) 2015
  • MA793 - Special Topics in Mathematics (Fall Term 2015) 2015
  • MA126 - Calculus II (Summer Term 2015) 2015
  • MA298 - Research in Mathematics (Summer Term 2015) 2015
  • MA398 - Research in Mathematics (Summer Term 2015) 2015
  • MA494 - Special Topics in Mathematics (Summer Term 2015) 2015
  • MA671 - Topology II (Summer Term 2015) 2015
  • MA691 - Mathematics Seminar (Summer Term 2015) 2015
  • MA793 - Special Topics in Mathematics (Summer Term 2015) 2015
  • MA126 - Calculus II (Spring Term 2015) 2015
  • MA474 - Intro to Topology I (Spring Term 2015) 2015
  • MA490 - Mathematics Seminar (Spring Term 2015) 2015
  • MA494 - Special Topics in Mathematics (Spring Term 2015) 2015
  • MA670 - Topology I (Spring Term 2015) 2015
  • MA693 - Special Topics in Mathematics (Spring Term 2015) 2015
  • MA794 - Special Topics in Mathematics (Spring Term 2015) 2015
  • MA125 - Calculus I (Fall Term 2014) 2014
  • MA490 - Mathematics Seminar (Fall Term 2014) 2014
  • MA491 - Mathematics Senior Seminar (Fall Term 2014) 2014
  • MA692 - Special Topics in Mathematics (Fall Term 2014) 2014
  • MA125 - Calculus I (Spring Term 2014) 2014
  • MA125 - Calculus I (Fall Term 2013) 2013
  • MA125 - Calculus I (Fall Term 2013) 2013
  • MA125 - Calculus I (Spring Term 2013) 2013
  • MA125 - Calculus I (Fall Term 2012) 2012
  • MA125 - Calculus I (Fall Term 2012) 2012
  • MA671 - Topology II (Summer Term 2012) 2012
  • MA490 - Mathematics Seminar (Spring Term 2012) 2012
  • MA670 - Topology I (Spring Term 2012) 2012
  • MA125 - Calculus I (Fall Term 2011) 2011
  • MA361 - Mathematical Modeling (Fall Term 2011) 2011
  • MA490 - Mathematics Seminar (Fall Term 2011) 2011
  • MA519 - Special Topics for Teachers (Fall Term 2011) 2011
  • MA490 - Mathematics Seminar (Summer Term 2011) 2011
  • MA125 - Calculus I (Spring Term 2011) 2011
  • MA490 - Mathematics Seminar (Spring Term 2011) 2011
  • MA109 - Survey of Calculus (Fall Term 2010) 2010
  • MA109 - Survey of Calculus (Fall Term 2010) 2010
  • MA125 - Calculus I (Fall Term 2010) 2010
  • MA490 - Mathematics Seminar (Fall Term 2010) 2010
  • MA490 - Mathematics Seminar (Summer Term 2010) 2010
  • MA126 - Calculus II (Spring Term 2010) 2010
  • MA490 - Mathematics Seminar (Spring Term 2010) 2010
  • MA126 - Calculus II (Fall Term 2009) 2009
  • MA490 - Mathematics Seminar (Fall Term 2009) 2009
  • MA692 - Special Topics in Mathematics (Fall Term 2009) 2009
  • MA126 - Calculus II (Fall Term 2008) 2008
  • MA772 - Complex Analytic Dynamics (Fall Term 2008) 2008
  • MA109 - Survey of Calculus (Summer Term 2008) 2008
  • MA670 - Topology I (Spring Term 2008) 2008
  • MA109 - Survey of Calculus (Fall Term 2007) 2007
  • MA109 - Survey of Calculus (Fall Term 2007) 2007
  • Education And Training

  • Doctor of Philosophy in Mathematics, Voronezh State University 1985
  • Full Name

  • Alexander Blokh