Mathematics Lecture : Generalized shifts of finite type associated to an integer matrix
Speaker 
Dr. Sharvari Tikekar,TIFR Mumbai


When 
Sep 22, 2022
from 04:00 PM to 05:00 PM 
Where  Auditorium, Ground Floor, TIFR CAM 
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compute the topological entropy of this shift and discuss some properties of Markov measure on the shift. We obtain an expression for the generating function that enumerates the number of allowed words of fixed length in this shift. When R is empty, the theory of generating functions is studied by Guibas and Odlyzko. These results provide an expression for the Perron root and eigenvectors of any irreducible nonnegative integer matrix. The theory also has applications in obtaining an alternate
definition of Parry measure on the associated shift. When R is empty, these results are studied by Agarwal N. (IISER B) and Haritha C.(TIFR). This is a joint work with Agarwal N. and Haritha C.