412 citations · 980 across the 11 of their papers we have counts for
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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.DS2016
A New Approach to Numerical Computation of Hausdorff Dimension of Iterated Function Systems: Applications to Complex Continued Fractions
Richard S. Falk, Roger D. Nussbaum
In a previous paper, dealing with "Applications in ," the authors developed a new approach to the computation of the Hausdorff dimension of the invariant set of an it…
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…