1.2k citations
- Lawrence Livermore National LaboratoryUS28 papers
- University of California San DiegoUS21 papers
- Iowa State UniversityUS19 papers
- Argonne National LaboratoryUS18 papers
- Stanford UniversityUS18 papers
- Ames National LaboratoryUS17 papers
- Centre National de la Recherche ScientifiqueFR16 papers
- Princeton UniversityUS16 papers
- University of FloridaUS16 papers
- Oak Ridge National LaboratoryUS15 papers
- Rutgers, The State University of New JerseyUS15 papers
- University College LondonGB15 papers
37 papers · 1 filter
A model of the cubic connectedness locus
Alexander Blokh, Lex Oversteegen, Vladlen Timorin +1
We describe a locally connected model of the boundary of the cubic connectedness locus. The model is obtained by constructing a decomposition of the space of critical portraits and…
Lavaurs algorithm for cubic symmetric polynomials
Alexander Blokh, Lex G. Oversteegen, Nikita Selinger +2
To investigate the degree connectedness locus, Thurston studied \emph{-invariant laminations}, where is the -tupling map on the unit circle, and built a topologic…
On critical renormalization of complex polynomials
Alexander Blokh, Peter Haissinsky, Lex Oversteegen +1
Holomorphic renormalization plays an important role in complex polynomial dynamics. We consider certain conditions guaranteeing that a polynomial which does not admit a polynomial-…
Location of Siegel capture polynomials in parameter spaces
Alexander Blokh, Arnaud Cheritat, Lex OVersteegen +1
A cubic polynomial with a periodic Siegel disk containing an eventual image of a critical point is said to be a \emph{Siegel capture polynomial}. If the Siegel disk is invarian…
Forcing among patterns with no block structure
Alexander Blokh, Michał Misiurewicz
Define the following order among all natural numbers except for 2 and 1: \[ 4\gg 6\gg 3\gg \dots \gg 4n\gg 4n+2\gg 2n+1\gg 4n+4\gg\dots \] Let be a continuous interval map. We…
On deformation spaces of quadratic rational maps
Tanya Firsova, Jeremy Kahn, Nikita Selinger
We study the group of self-equivalences of a partially postcritically finite branched cover and answer a question of Adam Epstein about contractibility of certain deformation space…