Computing Invariant Measures of Piecewise Convex Transformations
Document Type
Article
Publication Date
5-1-1996
Department
Physics and Astronomy
School
Mathematics and Natural Sciences
Abstract
LetS:[0, 1]→[0,1] be a piecewise convex transformation satisfying some conditions which guarantee the existence of an absolutely continuous invariant probability measure. We prove the convergence of a class of Markov finite approximations for computing the invariant measure, using a compactness argument forL 1-spaces.
Publication Title
Journal of Statistical Physics
Volume
83
Issue
3-4
First Page
623
Last Page
635
Recommended Citation
Ding, J.
(1996). Computing Invariant Measures of Piecewise Convex Transformations. Journal of Statistical Physics, 83(3-4), 623-635.
Available at: https://aquila.usm.edu/fac_pubs/5571