Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Firsova, Tanya"'
Autor:
Berger, Pierre, Bedford, Eric, Bianchi, Fabrizio, Buff, Xavier, Crovisier, Sylvain, Dinh, Tien-Cuong, Dujardin, Romain, Favre, Charles, Firsova, Tanya, Ingram, Patrick, Ishii, Yutaka, Palmisano, Liviana, Pujals, Enrique, Raissy, Jasmin, Štimac, Sonja, Vigny, Gabriel
We propose a set of questions on the dynamics of H\'enon maps from the real, complex, algebraic and arithmetic points of view.
Comment: 34 pages, 4 figures
Comment: 34 pages, 4 figures
Externí odkaz:
http://arxiv.org/abs/2312.03907
We prove that the characterization of the critical locus for complex H\'enon maps that are small perturbations of quadratic polynomials with disconnected Julia sets given by Firsova holds in a much larger HOV-like region from the complex horseshoe lo
Externí odkaz:
http://arxiv.org/abs/2211.12430
Autor:
Firsova, Tanya, Gorbovickis, Igors
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:
http://arxiv.org/abs/2005.00665
Autor:
Firsova, Tanya, Gorbovickis, Igors
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:
http://arxiv.org/abs/1903.00062
We prove the existence of hedgehogs for germs of complex analytic diffeomorphisms of $(\mathbb{C}^{2},0)$ with a semi-neutral fixed point at the origin, using topological techniques. This approach also provides an alternative proof of a theorem of P\
Externí odkaz:
http://arxiv.org/abs/1611.09342
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 spaces of rational maps.
Comment: Section 7 on connection with postcri
Comment: Section 7 on connection with postcri
Externí odkaz:
http://arxiv.org/abs/1606.00723
Autor:
Firsova, Tanya, Gorbovickis, Igors
Publikováno v:
In Advances in Mathematics 26 March 2021 380
Autor:
Bedford, Eric, Firsova, Tanya
We give a geometric approach to the proof of the $\lambda$-lemma. In particular, we point out the role pseudoconvexity plays in the proof.
Comment: 2nd version, minor corrections
Comment: 2nd version, minor corrections
Externí odkaz:
http://arxiv.org/abs/1501.04673
Autor:
Firsova, Tanya, Lyubich, Mikhail
We prove a version of the classical $\lambda$-lemma for holomorphic families of Riemann surfaces. We then use it to show that critical loci for complex H\'{e}non maps that are small perturbations of quadratic polynomials with Cantor Julia sets are al
Externí odkaz:
http://arxiv.org/abs/1404.3910
Autor:
Firsova, Tanya
We study topology of leaves of 1-dimensional singular holomorphic foliations of Stein manifolds. We prove that for a generic foliation all leaves, except for at most countably many, are contractible, the rest are topological cylinders. We show that a
Externí odkaz:
http://arxiv.org/abs/1105.2019