17 citations · 55 across the 31 of their papers we have counts for
8 papers · 1 filter
Dynamics of multipliers on harmonic manifolds
Kingshook Biswas, Rudra P. Sarkar
Let be a complete, simply connected harmonic manifold with sectional curvatures satisfying . In \cite{biswas6}, a Fourier transform was defined for functions on…
Loewner evolution of hedgehogs and 2-conformal measures of circle maps
Kingshook Biswas
Let be a germ of holomorphic diffeomorphism with an irrationally indifferent fixed point at the origin in (i.e. $f(0) = 0, f'(0) = e^{2πi α}, α\in \mathbb{R} - \ma…
On Moebius and conformal maps between boundaries of CAT(-1) spaces
Kingshook Biswas
We consider Moebius and conformal homeomorphisms between boundaries of CAT(-1) spaces equipped with visual metrics. A conformal map induce…
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…