2021/09/28 by Jayaraman, S., Prajapaty, Y. K., Sridharan, S.
#15A80 #15B34 #37H12 #Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.2109.13495
The aim of this manuscript is to understand the dynamics of matrix products in a max algebra. A consequence of the Perron-Fröbenius theorem on periodic points of a nonnegative matrix is generalized to a max algebra setting. The same is then studied for a finite product associated to a p-lettered word on N letters arising from a finite collection of nonnegative matrices, with each member having its maximum circuit geometric mean at most 1.