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math.DS2012★ 33 cited
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-…
math.NT2012★ 4 cited
On the Diophantine properties of lambda-expansions
Tomas Persson, Henry W. J. Reeve
For and , we consider sets of numbers such that for infinitely many , is -close to some , where . Thes…