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math.NT2020
Hidden Positivity and a New Approach to Numerical Computation of Hausdorff Dimension: Higher Order Methods
Richard S. Falk, Roger D. Nussbaum
In [14], the authors developed a new approach to the computation of the Hausdorff dimension of the invariant set of an iterated function system or IFS. In this paper, we extend thi…
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…