pith. sign in

arxiv: 1611.00092 · v3 · pith:262UOLYSnew · submitted 2016-11-01 · 🧮 math.DS

The Wasserstein distance between stationary measures associated to iterated function schemes on the unit interval

Italo Cipriano This is my paper
classification 🧮 math.DS
keywords functioniteratedmeasuresstationaryassociateddifferentschemescontractions
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Approximating integrals with respect to stationary probability measures of iterated function systems

    math.DS 2019-07 unverdicted novelty 4.0

    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.