Joint spectral radius, Sturmian measures and the finiteness conjecture
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DOI: 10.1017/etds.2017.18
Abstract: The joint spectral radius of a pair of $2\times 2$ real matrices $(A_{0},A_{1})\in M_{2}(\mathbb{R})^{2}$ is defined to be $r(A_{0},A_{1})=\limsup _{n\rightarrow \infty }\max \{\Vert A_{i_{1}}\cdots A_{i_{n}}\Vert ^{1/n}:i_{j}\in \{0,1\}\}$ , the optimal growth rate of the norm… read more here.
Keywords: spectral radius; joint spectral; conjecture; finiteness conjecture ... See more keywords