17 citations · 55 across the 31 of their papers we have counts for
5 papers · 2 filters
Simultaneous linearization of commuting germs of holomorphic diffeomorphisms
Kingshook Biswas
Let f_1,...,f_N be commuting germs of holomorphic diffeomorphisms in C fixing the origin with irrational rationally independent rotation numbers alpha_1,...,alpha_N. We adapt Yocco…
Hedgehogs of Hausdorff dimension one
Kingshook Biswas
We present a construction of hedgehogs for holomorphic maps with an indifferent fixed point. We construct, for a family of commuting non-linearisable maps, a common hedgehog of Hau…
Smooth Combs Inside Hedgehogs
Kingshook Biswas
We use techniques of tube-log Riemann surfaces due to R.Perez-Marco to construct a hedgehog containing smooth combs. The hedgehog is a common hedgehog for a family of…
Maximal Abelian Torsion Subgroups of Diff(C,0)
Kingshook Biswas
In the study of the local dynamics of a germ of diffeomorphism fixing the origin in C, an important problem is to determine the centralizer of the germ in the group Diff(C,0) of ge…
Complete Conjugacy Invariants of Nonlinearizable Holomorphic Dynamics
Kingshook Biswas
Perez-Marco proved the existence of non-trivial totally invariant connected compacts called hedgehogs near the fixed point of a nonlinearizable germ of holomorphic diffeomorphism.…