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

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 35 REFERENCES
    Continuity properties of the lower spectral radius
    24
    Computationally Efficient Approximations of the Joint Spectral Radius
    135
    A note on the Joint Spectral Radius
    75
    Complex Polytope Extremality Results for Families of Matrices
    74
    Exponential growth of product of matrices in SL ( 2 , R )
    7
    Exact Computation of Joint Spectral Characteristics of Linear Operators
    84
    The finiteness conjecture for the generalized spectral radius of a set of matrices
    171