2 papers
math.DS2009
Simultaneously Non-convergent Frequencies of Words in Different Expansions
David Färm
We consider expanding maps such that the unit interval can be represented as a full symbolic shift space with bounded distortion. There are already theorems about the Hausdorff dim…
math.DS2009
Simultaneously Non-dense Orbits Under Different Expanding Maps
David Färm
Given a point and an expanding map on the unit interval, we consider the set of points for which the forward orbit under this map is bounded away from the given point. For maps lik…