# 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} }

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

One Citation

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 35 REFERENCES

Computationally Efficient Approximations of the Joint Spectral Radius

- Mathematics, Computer Science
- 2005

135

An explicit counterexample to the Lagarias-Wang finiteness conjecture

- Mathematics, Computer Science
- 2010

59

Exact Computation of Joint Spectral Characteristics of Linear Operators

- Mathematics, Computer Science
- 2013

84