An algorithm is provided for fast approximation of integrals w.r.t. stationary measures of IFS on [0,1], with applications to Hausdorff moments, Wasserstein distances, and Lyapunov exponents.
The Wasserstein distance between stationary measures associated to iterated function schemes on the unit interval
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We provide explicit formulaes for the first Kantorovich-Wasserstein distance between stationary measures for iterated function scheme on the unit interval. In particular, we consider two stationary measures with different configurations of the weights associated to the same iterated function schemes with disjoint images composed of: $k$ positive contractions or $2$ contractions of different sign. We also study the case of two stationary measures associated to different iterated function schemes.
fields
math.DS 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Approximating integrals with respect to stationary probability measures of iterated function systems
An algorithm is provided for fast approximation of integrals w.r.t. stationary measures of IFS on [0,1], with applications to Hausdorff moments, Wasserstein distances, and Lyapunov exponents.