3 citations · 6 across the 10 of their papers we have counts for
14 papers
Rigidity of the escaping set of polynomial automorphisms of
Sayani Bera, Kaushal Verma
Let be a polynomial automorphism of of positive entropy and degree . We prove that the escaping set (or equivalently, the non-escaping set ),…
Rigidity of the escaping set of certain Hénon maps
Sayani Bera
Let be a Hénon map of the form . We prove that the escaping set (or equivalently, the non-escaping set ), of is rigid under the actions of au…
Uniform non-autonomous basins of attraction
Sayani Bera, Kaushal Verma
It has been conjectured that every stable manifold arising from a holomorphic automorphism, that acts hyperbolically on a compact invariant set, is biholomorphic to complex Euclide…
Dynamics of semigroups of Hénon maps
Sayani Bera
The goal of this article is two fold. Firstly, we explore the dynamics of a semigroup of polynomial automorphisms of , generated by a finite collection of Hénon maps.…
On the automorphism group of certain Short 's
Sayani Bera, Ratna Pal, Kaushal Verma
For a Hénon map of the form , where is a polynomial of degree at least two and , it is known that the sub-level sets of the Green's functio…
On a spectral version of Cartan's theorem
Sayani Bera, Vikramjeet Singh Chandel, Mayuresh Londhe
For a domain in the complex plane, we consider the domain consisting of those complex matrices whose spectrum is contained in . Given a holomorphic self…
Rigidity of Julia sets of families of biholomorphic mappings in higher dimension
Sayani Bera, Ratna Pal
The goal of this article is to study a rigidity property of Julia sets of certain classes of automorphisms in , First, we study the relation between two po…
Rigidity Theorems for Hénon maps-II
Sayani Bera
The purpose of this note is to explore further the rigidity properties of Hénon maps from arXiv:1806.08189. For instance, we show that if and are Hénon maps with the same G…
A rigidity theorem for Hénon maps
Sayani Bera, Ratna Pal, Kaushal Verma
The purpose of this note is two fold. First, we study the relation between a pair of Hénon maps that share the same forward and backward non-escaping sets. Second, it is shown that…
Polynomial shift--like maps in
Sayani Bera
The purpose of this article is to explore a few properties of polynomial shift-like automorphisms of We first prove that a shift-like polynomial map (say )…
Examples of non-autonomous basins of attraction-II
Sayani Bera
The aim of this article is to enlarge the list of examples of non-autonomous basins of attraction from our previous paper and at the same time explore some other properties that th…
Examples of non-autonomous basins of attraction
Sayani Bera, Ratna Pal, Kaushal Verma
The purpose of this paper is to present several examples of non--autonomous basins of attraction that arise from sequences of automorphisms of . In the first part, we…
Dynamics of semigroups of entire maps of
Sayani Bera, Ratna Pal
The goal of this paper is to study some basic properties of the Fatou and Julia sets for a family of holomorphic endomorphisms of . We are particularly int…
Some aspects of shift-like automorphisms of C^k
Sayani Bera, Kaushal Verma
The goal of this article is two fold. First, using transcendental shift-like automorphisms of C^k, k > 2 we construct two examples of non-degenerate entire mappings with prescribed…