Fast Approximation of the $p$-Radius, Matrix Pressure, or Generalized Lyapunov Exponent for Positive and Dominated Matrices
DOI10.1137/19M1303964zbMath1487.37099arXiv1905.00749OpenAlexW4211095464MaRDI QIDQ5862804
Publication date: 10 March 2022
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.00749
Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Partially hyperbolic systems and dominated splittings (37D30) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Efficient method for computing lower bounds on the \(p\)-radius of switched linear systems
- An inequality for the matrix pressure function and applications
- Non-conformal repellers and the continuity of pressure for matrix cocycles
- Go with the winners: a general Monte Carlo strategy
- The pressure function for products of non-negative matrices.
- Some characterizations of domination
- Maximal Lyapunov exponents for random matrix products
- How smooth is your wavelet? Wavelet regularity via thermodynamic formalism
- Notes on infinite determinants of Hilbert space operators
- The \(p\)-norm joint spectral radius for even integers
- Products of random matrices in statistical physics
- The Lyapunov exponent and joint spectral radius of pairs of matrices are hard - when not impossible - to compute and to approximate
- Computing invariant densities and metric entropy
- Invariant multicones for families of matrices
- Orthonormal expansions of invariant densities for expanding maps
- Generalized Lyapunov exponents in high-dimensional chaotic dynamics and products of large random matrices
- Real projective iterated function systems
- Uniformly hyperbolic finite-valued \(\mathrm{SL}(2,\mathbb R)\)-cocycles
- Lyapunov exponents for the random product of two shears
- Explicit eigenvalue estimates for transfer operators acting on spaces of holomorphic functions
- Generalized joint spectral radius and stability of switching systems
- On Falconer's formula for the generalised Rényi dimension of a self-affine measure
- Fast Methods for Computing thep-Radius of Matrices
- Uniformity of Lyapunov exponents for non-invertible matrices
- On the cycle expansion for the Lyapunov exponent of a product of random matrices
- The generalized joint spectral radius. A geometric approach
- Calculating Hausdorff dimension of Julia sets and Kleinian limit sets
- Self-similarity and multiwavelets in higher dimensions
- Characterization of $L^p $-Solutions for the Two-Scale Dilation Equations
- Continuity properties of the lower spectral radius
- Effective estimates on the top Lyapunov exponents for random matrix products
- Estimating singularity dimension
- Traces and determinants of linear operators
This page was built for publication: Fast Approximation of the $p$-Radius, Matrix Pressure, or Generalized Lyapunov Exponent for Positive and Dominated Matrices