4 papers
Construction of polynomial preserving cochain extensions by blending
Richard S. Falk, Ragnar Winther
A classical technique to construct polynomial preserving extensions of scalar functions defined on the boundary of an simplex to the interior is to use so-called rational blend…
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…
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…
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…