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Cramér distance and discretizations of circle expanding maps II: simulations.
- Source :
-
Dynamical Systems: An International Journal . Mar2024, Vol. 39 Issue 1, p108-140. 33p. - Publication Year :
- 2024
-
Abstract
- This paper presents some numerical experiments in relation with the theoretical study of the ergodic short-term behaviour of discretizations of expanding maps done in P.-A. Guihéneuf and M. Monge, [Cramér distance and discretizations of circle expanding maps I: theory, (2022). arXiv 2206.07991]. Our aim is to identify the phenomena driving the evolution of the distance between the tth iterate of Lebesgue measure by the dynamics f and the tth iterate of the uniform measure on the grid of order N by the discretization on this grid. Based on numerical simulations we propose some conjectures on the effects of numerical truncation from the ergodic viewpoint. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LEBESGUE measure
*CIRCLE
*ERGODIC theory
*COMPUTER simulation
Subjects
Details
- Language :
- English
- ISSN :
- 14689367
- Volume :
- 39
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Dynamical Systems: An International Journal
- Publication Type :
- Academic Journal
- Accession number :
- 174710367
- Full Text :
- https://doi.org/10.1080/14689367.2023.2236036