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math.DS2011★ 11 cited
Shrinking Targets for Countable Markov Maps
Henry WJ Reeve
Let be an expanding Markov map with a countable number of inverse branches and a repeller contained within the unit interval. Given we consider the set of point…
math.DS2011
Infinite Non-Conformal Iterated Function Systems
Henry WJ Reeve
We consider a generalisation of the self-affine iterated function systems of Lalley and Gatzouras by allowing for a countable infinity of non-conformal contractions. It is shown th…