On One 2-Valued Transformation: Its Invariant Measure and Application to Masked Dynamical Systems
We consider one family S of 2-valued transformations on the interval [0, 1] with measure μ, endowed with a set of weight functions. We construct invariant measure μS=μ for this multivalued dynamical system with weights and show the interplay between such systems and masked dynamical systems, which l...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/513061 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832558519688101888 |
|---|---|
| author | P. I. Troshin |
| author_facet | P. I. Troshin |
| author_sort | P. I. Troshin |
| collection | DOAJ |
| description | We consider one family S of 2-valued transformations on the interval [0, 1] with measure μ, endowed with a set of weight functions. We construct invariant measure μS=μ for this multivalued dynamical system with weights and show the interplay between such systems and masked dynamical systems, which leads to image processing. |
| format | Article |
| id | doaj-art-45920f747ed74744bcd16e4054c998b8 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-45920f747ed74744bcd16e4054c998b82025-02-03T01:32:09ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/513061513061On One 2-Valued Transformation: Its Invariant Measure and Application to Masked Dynamical SystemsP. I. Troshin0Institute of Mathematics and Mechanics, Kazan Federal University, 18 Kremlyovskaya Street, Kazan 420008, RussiaWe consider one family S of 2-valued transformations on the interval [0, 1] with measure μ, endowed with a set of weight functions. We construct invariant measure μS=μ for this multivalued dynamical system with weights and show the interplay between such systems and masked dynamical systems, which leads to image processing.http://dx.doi.org/10.1155/2014/513061 |
| spellingShingle | P. I. Troshin On One 2-Valued Transformation: Its Invariant Measure and Application to Masked Dynamical Systems Abstract and Applied Analysis |
| title | On One 2-Valued Transformation: Its Invariant Measure and Application to Masked Dynamical Systems |
| title_full | On One 2-Valued Transformation: Its Invariant Measure and Application to Masked Dynamical Systems |
| title_fullStr | On One 2-Valued Transformation: Its Invariant Measure and Application to Masked Dynamical Systems |
| title_full_unstemmed | On One 2-Valued Transformation: Its Invariant Measure and Application to Masked Dynamical Systems |
| title_short | On One 2-Valued Transformation: Its Invariant Measure and Application to Masked Dynamical Systems |
| title_sort | on one 2 valued transformation its invariant measure and application to masked dynamical systems |
| url | http://dx.doi.org/10.1155/2014/513061 |
| work_keys_str_mv | AT pitroshin onone2valuedtransformationitsinvariantmeasureandapplicationtomaskeddynamicalsystems |