3 papers
math.DS2010
Dimension and measure of baker-like skew-products of -transformations
David Färm, Tomas Persson
We consider a generalisation of the baker's transformation, consisting of a skew-product of contractions and a -transformation. The Hausdorff dimension and Lebesgue measure of t…
math.DS2010
Non-typical points for -shifts
David Färm, Tomas Persson
We study sets of nontypical points under the map mod 1, for non-integer and extend our results from [Färm, Persson, Schmeling, 2010] in several directions. In…
math.DS2009
Large intersection classes on fractals
David Färm, Tomas Persson
We consider limit sets of some conformal iterated function systems, and introduce classes of subsets of the limit set, with the property that the classes are closed under countable…