33 citations · 142 across the 20 of their papers we have counts for
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Multifractal analysis of Birkhoff averages for typical infinitely generated self-affine sets
Antti Käenmäki, Henry WJ Reeve
We develop a thermodynamic formalism for quasi-multiplicative potentials on a countable symbolic space and apply these results to the dimension theory of infinitely generated self-…
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…
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…
Multifractal analysis for Birkhoff averages on Lalley-Gatzouras repellers
Henry WJ Reeve
We consider the multifractal analysis for Birkhoff averages of continuous potentials on a class of non-conformal repellers corresponding to the self-affine limit sets studied by La…
The packing spectrum for Birkhoff averages on a self-affine repeller
Henry WJ Reeve
We consider the multifractal analysis for Birkhoff averages of continuous potentials on a self-affine Sierpiński sponge. In particular, we give a variational principal for the pack…