Please use this identifier to cite or link to this item:
http://hdl.handle.net/10174/19655
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| Title: | Transition matrices characterizing a certain totally discontinuous map of the interval |
| Authors: | Bandeira, Luís
Correia Ramos, Carlos |
| Keywords: | Transition matrices
Subshifts of finite type
Perron eigenvectors
Zeta function |
| Issue Date: | 15-Dec-2016 |
| Publisher: | Elsevier / Journal of Mathematical Analysis and Applications |
| Citation: | Transition matrices characterizing a certain totally discontinuous map of the interval, L. Bandeira, C. Correia Ramos, Journal of Mathematical Analysis and Applications,Volume 444, Issue 2, 15 December 2016, 1274-1303 |
| Abstract: | We study a totally discontinuous interval map defined in [0,1] which is associated to a deformation of the shift map on two symbols 0−1. We define a sequence of transition matrices which characterizes the effect of the interval map on a family of partitions of the interval [0,1]. Recursive algorithms that build the sequence of matrices and their left and right eigenvectors are deduced. Moreover, we compute the Artin zeta function for the interval map. |
| URI: | http://dx.doi.org/10.1016/j.jmaa.2016.07.016
http://hdl.handle.net/10174/19655 |
| ISSN: | 0022-247X |
| Type: | article |
| Appears in Collections: | CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica /
