Zobrazeno 1 - 10
of 110
pro vyhledávání: '"Alexander Blokh"'
Publikováno v:
Arnold Mathematical Journal. 8:271-284
We prove fixed point results for branched covering maps f of the plane. For complex polynomials P with Julia set $$J_{P}$$ these imply that periodic cutpoints of some invariant subcontinua of $$J_{P}$$ are also cutpoints of $$J_{P}$$ . We deduce that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::710b93313932b105a6e4560f321bce64
https://doi.org/10.1007/s40598-021-00186-8
https://doi.org/10.1007/s40598-021-00186-8
Publikováno v:
Dynamics: Topology and Numbers. :15-20
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3fe6e5c931de9f0ed59e2165c48ffb1a
https://doi.org/10.1090/conm/744/14984
https://doi.org/10.1090/conm/744/14984
Autor:
Alexander Blokh
Publikováno v:
Journal of Difference Equations and Applications. 26:1043-1045
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b547a03a42ef2cb616d0820568ceb58b
https://doi.org/10.1080/10236198.2020.1821506
https://doi.org/10.1080/10236198.2020.1821506
Autor:
Alexander Blokh, Sourav Bhattacharya
Publikováno v:
Journal of Difference Equations and Applications. 26:1067-1084
We prove that a periodic orbit $P$ with coprime over-rotation pair is an over-twist periodic orbit iff the $P$-linear map has the over-rotation interval with left endpoint equal to the over-rotation number of $P$. We then show that this result fails
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c6f2d233876556123b91ee715ec57aa
https://doi.org/10.1080/10236198.2019.1701672
https://doi.org/10.1080/10236198.2019.1701672
Autor:
Michał Misiurewicz, Alexander Blokh
Publikováno v:
Transactions of the American Mathematical Society. 372:8933-8953
A cyclic permutation $\pi:\{1, \dots, N\}\to \{1, \dots, N\}$ has a \emph{block structure} if there is a partition of $\{1, \dots, N\}$ into $k\notin\{1,N\}$ segments (\emph{blocks}) permuted by $\pi$; call $k$ the \emph{period} of this block structu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::83a52ea0d4c3bb8de763ac45d196b52c
https://doi.org/10.1090/tran/7928
https://doi.org/10.1090/tran/7928
Autor:
Sourav Bhattacharya, Alexander Blokh
Publikováno v:
Topology and its Applications. 308:108004
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::abc0de9d20e387b6097d6b56393b1434
https://doi.org/10.1016/j.topol.2022.108004
https://doi.org/10.1016/j.topol.2022.108004
Publikováno v:
Science China Mathematics. 61:2121-2138
The combinatorial Mandelbrot set is a continuum in the plane, whose boundary can be defined, up to a homeomorphism, as the quotient space of the unit circle by an explicit equivalence relation. This equivalence relation was described by Douady and, i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eaae9f8fda00359d965336b1a2369fc2
https://doi.org/10.1007/s11425-017-9305-3
https://doi.org/10.1007/s11425-017-9305-3
Autor:
Alexander Blokh, Sourav Bhattacharya
We describe all possible bimodal over-twist patterns. In particular, we give an algorithm allowing one to determine what the left endpoint of the over-rotation interval of a given bimodal map is. We then define a new class of polymodal interval maps
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d34d436d924a4b007c754ff638546aa7
http://arxiv.org/abs/1908.07635
http://arxiv.org/abs/1908.07635
Local similarity between the Mandelbrot set and quadratic Julia sets manifests itself in a variety of ways. We discuss a combinatorial one, in the language of geodesic laminations. More precisely, we compare quadratic invariant laminations representi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::025992f07d07e1d84e212f05147a28db
http://arxiv.org/abs/1904.08281
http://arxiv.org/abs/1904.08281
The so-called “pinched disk” model of the Mandelbrot set is due to A. Douady, J. H. Hubbard and W. P. Thurston. It can be described in the language of geodesic laminations. The combinatorial model is the quotient space of the unit disk under an e