Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Tanya Firsova"'
Publikováno v:
International Mathematics Research Notices. 2023:6703-6738
We study the group of self-equivalences of a partially postcritically finite branched cover and show that certain deformation spaces of rational maps are not contractible.
Publikováno v:
Astérisque. 416:193-211
Autor:
TANYA FIRSOVA, IGORS GORBOVICKIS
A parameter $c_0\in\mathbb C$ in the family of quadratic polynomials $f_c(z)=z^2+c$ is a critical point of a period $n$ multiplier, if the map $f_{c_0}$ has a periodic orbit of period $n$, whose multiplier, viewed as a locally analytic function of $c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::336629f1d51333d7b5428836024ad976
http://arxiv.org/abs/2005.00665
http://arxiv.org/abs/2005.00665
Autor:
Tanya Firsova, Mikhail Lyubich
Publikováno v:
Conformal Geometry and Dynamics of the American Mathematical Society. 21:111-125
We prove a version of the classical λ \lambda -lemma for holomorphic families of Riemann surfaces. We then use it to show that critical loci for complex Hénon maps that are small perturbations of quadratic polynomials with Cantor Julia sets are all
Publikováno v:
Arnold Mathematical Journal. 6:311-312
Autor:
Tanya Firsova, Eric Bedford
Publikováno v:
Annales de la Faculté des sciences de Toulouse : Mathématiques. 25:1-18
We give a geometric approach to the proof of the $\lambda$-lemma. In particular, we point out the role pseudoconvexity plays in the proof.
Autor:
Igors Gorbovickis, Tanya Firsova
A parameter $c_0\in\mathbb C$ in the family of quadratic polynomials $f_c(z)=z^2+c$ is a critical point of a period $n$ multiplier, if the map $f_{c_0}$ has a periodic orbit of period $n$, whose multiplier, viewed as a locally analytic function of $c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::343bfb6214d9f733b823b9c70661d05d
Autor:
Tanya Firsova
Publikováno v:
Annales de l’institut Fourier. 63:1849-1879
Autor:
Tanya Firsova
Publikováno v:
Indiana University Mathematics Journal. 61:1603-1641
Autor:
Tanya Firsova
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 254:152-168
The topology of leaves of a generic analytic foliation on the complex plane is studied. It is proved that for a generic foliation all leaves are topological disks except for at most a countable number of topological cylinders. It is also shown that s