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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…
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…
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…