Prefer a chat interface with context about you and your work?
Fractal dimensions for Jarník limit sets of geometrically finite Kleinian groups; the semi-classical approach
We introduce and study the Jarník limit set ℐσ of a geometrically finite Kleinian group with parabolic elements. The set ℐσ is the dynamical equivalent of the classical set of well approximable limit points. By generalizing the method of Jarník in the theory of Diophantine approximations, we estimate the dimension …