3 papers
math.DS2024
An equation in nonlinear combination of iterates
Chaitanya Gopalakrishna, Weinian Zhang
In this paper we deal with an equation in nonlinear combination of iterates. Although it can be reduced by the logarithm conjugacy to a form for application of Schauder's or Banach…
math.DS2023
A note on iterated maps of the unit sphere
Chaitanya Gopalakrishna
Let denote the set of continuous maps from the unit sphere in into itself endowed with the supremum norm. We prove that the set $\{f…
math.DS2022
The non-iterates are dense in the space of continuous self-maps
B. V. Rajarama Bhat, Chaitanya Gopalakrishna
In this paper we develop a tool to identify functions which have no iterative roots of any order. Using this, we prove that when is , or , every no…