2 papers
math.DS2024
Dimensions of harmonic measures on non-autonomous Cantor sets
Athanasios Batakis, Guillaume Havard
We consider Non Autonomous Conformal Iterative Function Systems (NACIFS) and their limit set. Our main concern is harmonic measure and its dimensions : Hausdorff and Packing. We pr…
math.DS2010
Variations of Hausdorff Dimension in the Exponential Family
Guillaume Havard, Mariusz Urbanski, Michel Zinsmeister
In this paper we deal with the following family of exponential maps . Denoting the hyperbolic dimension of . It is known tha…