3 papers
math.CV2026
Rigidity of the escaping set of polynomial automorphisms of
Sayani Bera, Kaushal Verma
Let be a polynomial automorphism of of positive entropy and degree . We prove that the escaping set (or equivalently, the non-escaping set ),…
math.CV2025
Weighted SzegÅ Kernels on Planar Domains
Aakanksha Jain, Kaushal Verma
We study properties of weighted SzegÅ and Garabedian kernels on planar domains. Motivated by the unweighted case as explained in Bell's work, the starting point is a weighted Kerz…
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…