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  • Examples of non-autonomous basins of attraction 
    Bera, Sayani; PAL, RATNA; Verma, Kaushal (Project Euclid, 2017)
    The purpose of this paper is to present several examples of non-autonomous basins of attraction that arise from sequences of automorphisms of Ck. In the first part, we prove that the non-autonomous basin of attraction ...
  • Ergodic properties of families of H-non maps 
    PAL, RATNA; Verma, Kaushal (Polskiej Akademii Nauk, Instytut Matematyczny, 2018-06)
    Let {Hλ} be a continuous family of Hénon maps parametrized by λ∈M, where M⊂Ck is compact. The purpose of this paper is to understand some aspects of the random dynamical system obtained by iterating maps from this family. ...
  • A rigidity theorem for Hénon maps 
    Bera, Sayani; PAL, RATNA; Verma, Kaushal (Springer Nature, 2019-03)
    The purpose of this note is twofold. 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 there exists a continuum of ShortC2’s that ...
  • Fatou-Julia dichotomy of matrix-valued polynomials 
    PAL, RATNA (Elsevier B.V., 2019-05)
    This article gives a precise description of the Fatou sets and Julia sets of matrix-valued polynomials in M(2,C) in terms of the corresponding polynomials in C. A normality criterion given by Aladro Krantz ([1]) plays a ...
  • Further remarks on rigidity of Henon maps 
    PAL, RATNA (Elsevier B.V., 2020-04)
    For a Henon map H in C-2, we characterize the polynomial automorphisms of C-2 which keep any fixed level set of the Green function of H completely invariant. The interior of any non-zero sublevel set of the Green function ...

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