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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…
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…