Shashanka Ubaru, Lior Horesh, et al.
Journal of Biomedical Informatics
We prove some results related to the question of the existence of factor maps and eventual factor maps between shifts of finite type. Our main result is that if A and B are integral eventually positive (IEP) matrices, and A eventually factors finite-to-one onto B, then there exists an IEP matrix C such that A eventually factors onto C by left closing maps and C eventually factors onto B by right closing maps. This answers the question of the existence of finite-to-one eventual factor maps when the spectrum of A is simple. As a corollary, if in addition to the above hypothesis, χA=χB, (where χA is the characteristic polynomial of A modulo x), then A is shift equivalent to B. © 1991, Cambridge University Press. All rights reserved.
Shashanka Ubaru, Lior Horesh, et al.
Journal of Biomedical Informatics
M. Tismenetsky
International Journal of Computer Mathematics
Jonathan Ashley, Brian Marcus, et al.
Ergodic Theory and Dynamical Systems
Karthik Visweswariah, Sanjeev Kulkarni, et al.
IEEE International Symposium on Information Theory - Proceedings