1 citations · 1 across the 4 of their papers we have counts for
8 papers
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…