6 citations · 11 across the 9 of their papers we have counts for
9 papers
Critical locus for Hénon maps in an HOV region
Tanya Firsova, Remus Radu, Raluca Tanase
We prove that the characterization of the critical locus for complex Hénon maps that are small perturbations of quadratic polynomials with disconnected Julia sets given by Firsova…
Accumulation set of critical points of the multipliers in the quadratic family
Tanya Firsova, Igors Gorbovickis
A parameter in the family of quadratic polynomials is a critical point of a period multiplier, if the map has a periodic orbit of per…
Equidistribution of critical points of the multipliers in the quadratic family
Tanya Firsova, Igors Gorbovickis
A parameter in the family of quadratic polynomials is a critical point of a period multiplier, if the map has a periodic orbit of per…
Hedgehogs for neutral dissipative germs of holomorphic diffeomorphisms of
Tanya Firsova, Mikhail Lyubich, Remus Radu +1
We prove the existence of hedgehogs for germs of complex analytic diffeomorphisms of with a semi-neutral fixed point at the origin, using topological technique…
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…
Geometric proof of the -lemma
Eric Bedford, Tanya Firsova
We give a geometric approach to the proof of the -lemma. In particular, we point out the role pseudoconvexity plays in the proof.
-Lemma for families of Riemann surfaces and the critical loci of complex Hénon maps
Tanya Firsova, Mikhail Lyubich
We prove a version of the classical -lemma for holomorphic families of Riemann surfaces. We then use it to show that critical loci for complex Hénon maps that are small perturba…
Topology of generic foliations on Stein manifolds: structure of leaves and Kupka-Smale property
Tanya Firsova
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…
The Critical Locus for Complex Hénon Maps
Tanya Firsova
We give a topological model of the critical locus for complex Hénon maps that are perturbations of the quadratic polynomial with disconnected Julia set.