1 citations · 2 across the 10 of their papers we have counts for
16 papers
On the group of automorphisms of the escaping sets of Hénon maps
Mahima, Ratna Pal
In this article, we provide an explicit description of , the group of automorphisms of the escaping set of a Hénon map that induce the identity…
On automorphisms of super-level sets of Green's functions of Hénon maps
Mahima, Ratna Pal
The aim of this article is two-fold. First, we obtain a normal form for automorphisms of the escaping sets of Hénon maps in a neighborhood of the attracting fixed point at infinity…
Increasing sequences of complex manifolds with uniform squeezing constants and their Bergman spaces
John Erik Fornæss, Ratna Pal
For , we discuss -dimensional complex manifolds that are the increasing union of bounded open sets 's of with a common uniform squeezing constan…
Conformal Rigidity of Polar Set Complements
Ratna Pal, Koushik Ramachandran, Sivaguru Ravisankar
Let be a closed polar subset of . In this short note, we use elementary potential theoretic tools to show that any conformal map on is nece…
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…
Relation between Hénon maps with biholomorphic escaping sets
Ratna Pal
Let and be two Hénon maps with biholomorphically equivalent escaping sets, then there exist affine automorphisms and in such that \[ F=A_1\circ H…
Notes on Short 's
John Erik Fornaess, Ratna Pal
Domains that are increasing union of balls (up to biholomorphism) and on which the Kobayashi metric vanishes identically arise inexorably in complex analysis. In this article we sh…
Further remarks on rigidity of Hénon maps
Ratna Pal
For a Hénon map in , we characterize the polynomial automorphisms of which keep any fixed level set of the Green function of completely invaria…
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…
Fatou-Julia dichotomy of matrix-valued polynomials
Ratna Pal
This article gives a precise description of the Fatou sets and Julia sets of matrix-valued polynomials in in terms of the corresponding polynomials in $…
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…
Ergodic properties of families of Hénon maps
Ratna Pal, Kaushal Verma
Let be a continuous family of Hénon maps parametrized by , where is compact. The purpose of this paper is to understand some aspects of the…
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…
Dynamical properties of families of holomorphic mapping
Ratna Pal
In the first part of the thesis, we study some dynamical properties of skew products of Hénon maps of $\mbb C^2$ that are fibered over a compact metric space . The problem reduc…
Dynamical properties of families of holomorphic mappings
Ratna Pal, Kaushal Verma
We study some dynamical properties of skew products of Hénon maps of $\mbb C^2$ that are fibered over a compact metric space . The problem reduces to understanding the dynamical…
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…