Computing the dimension of dynamically defined sets: E_2 and bounded continued fractions

By Oliver Jenkinson, Mark Pollicott. Ergodic Theory and Dynamical Systems, 2001

81 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

On Khintchine exponents and Lyapunov exponents of continued fractions (2008, background): “... fractions with bounded partial quotients and with the sets E2, E3, � � � , where Eα is the set of continued fractions whose partial quotients do not exceed α. He successfully got that the set E is of full Hausdorff dimension, but he didn’t find the exact dimensions of E2, E3, � � � . Later, many”
Calculating Hausdorff dimension of Julia sets and Kleinian limit sets (2002, background): “The classic example is the set E2 considered in [ JP1 ].”