Cipriano, Italo Umberto and Pollicott, Mark (2018) Stationary measures associated to analytic iterated function schemes. Mathematische Nachrichten, 291 (7). pp. 1049-1054. doi:10.1002/mana.201600127 ISSN 0025-584X.

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Abstract

We study how the stationary measure associated to analytic contractions on the unit interval behaves under changes in the contractions and the weights. Firstly we give a simple proof of the fact that the integrals of analytic functions with respect to the stationary measure vary analytically if we perturb the contractions and the weights analytically. Secondly, we consider the special case of affine contractions and we prove a conjecture of J. Fraser in 3 on the Kantorovich–Wasserstein distance between two stationary measures associated to affine contractions on the unit interval with different rates of contraction.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Analytic functions
Journal or Publication Title:	Mathematische Nachrichten
Publisher:	Wiley
ISSN:	0025-584X
Official Date:	May 2018
Dates:	Date Event May 2018 Published 3 April 2018 Available 28 January 2018 Accepted
Volume:	291
Number:	7
Page Range:	pp. 1049-1054
DOI:	10.1002/mana.201600127
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Date of first compliant deposit:	4 April 2018
Date of first compliant Open Access:	3 April 2019
Related URLs:	Publisher

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