Sayani Bera

collaborators

3 papers

math.CV2026

Rigidity of the escaping set of polynomial automorphisms of $C^{2}$

Sayani Bera, Kaushal Verma

Let $H$ be a polynomial automorphism of $C^{2}$ of positive entropy and degree $d \geq 2$ . We prove that the escaping set $U^{+}$ (or equivalently, the non-escaping set $K^{+}$ ),…

math.CV2026

Rigidity of the escaping set of certain HÃ©non maps

Sayani Bera

Let $H$ be a HÃ©non map of the form $H (x, y) = (y, p (y) - a x)$ . We prove that the escaping set $U^{+}$ (or equivalently, the non-escaping set $K^{+}$ ), of $H$ is rigid under the actions of a…

math.CV2024

Uniform non-autonomous basins of attraction

Sayani Bera, Kaushal Verma

It has been conjectured that every stable manifold arising from a holomorphic automorphism, that acts hyperbolically on a compact invariant set, is biholomorphic to complex Euclide…

Rigidity of the escaping set of polynomial automorphisms of C2

Rigidity of the escaping set of certain HÃ©non maps

Uniform non-autonomous basins of attraction

Rigidity of the escaping set of polynomial automorphisms of $C^{2}$