412 citations · 980 across the 11 of their papers we have counts for
Showing 2016 · math.NTShow all
2 papers · 2 filters
math.NT2016
Eigenfunctions of Perron-Frobenius Operators and a New Approach to Numerical Computation of Hausdorff Dimension: Applications in
Richard S. Falk, Roger D. Nussbaum
We develop a new approach to the computation of the Hausdorff dimension of the invariant set of an iterated function system or IFS. In the one dimensional case that we consider her…
math.NT2016★ 11 cited
C^m Eigenfunctions of Perron-Frobenius Operators and a New Approach to Numerical Computation of Hausdorff Dimension
Richard S. Falk, Roger D. Nussbaum
We develop a new approach to the computation of the Hausdorff dimension of the invariant set of an iterated function system or IFS. In the one dimensional case, our methods require…