# Generic properties of the lower spectral radius for some low-rank pairs of matrices

@article{Morris2015GenericPO,
title={Generic properties of the lower spectral radius for some low-rank pairs of matrices},
author={I. Morris},
journal={arXiv: Functional Analysis},
year={2015}
}
• I. Morris
• Published 2015
• Mathematics
• arXiv: Functional Analysis
• The lower spectral radius of a set of $d \times d$ matrices is defined to be the minimum possible exponential growth rate of long products of matrices drawn from that set. When considered as a function of a finite set of matrices of fixed cardinality it is known that the lower spectral radius can vary discontinuously as a function of the matrix entries. In a previous article the author and J. Bochi conjectured that when considered as a function on the set of all pairs of $2 \times 2$ real… CONTINUE READING

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