Open Access. Powered by Scholars. Published by Universities.®

Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

Applied Mathematics

Southern Illinois University Edwardsville

2018

Markov chains Multiresolution Fractals Cuntz relations Optimization

Articles 1 - 1 of 1

Full-Text Articles in Physical Sciences and Mathematics

Markov Chains And Generalized Wavelet Multiresolutions, Myung-Sin Song, Palle Jorgensen Nov 2018

Markov Chains And Generalized Wavelet Multiresolutions, Myung-Sin Song, Palle Jorgensen

SIUE Faculty Research, Scholarship, and Creative Activity

We develop some new results for a general class of transfer operators, as they are used in a construction of multi-resolutions. We then proceed to give explicit and concrete applications. We further discuss the need for such a constructive harmonic analysis/dynamical systems approach to fractals.