The joint spectral radius is pointwise Hölder continuous

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Perturbation theory of linear operators (47A55)

Cites Work

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A rapidly-converging lower bound for the joint spectral radius via multiplicative ergodic theory
An explicit counterexample to the Lagarias-Wang finiteness conjecture
Dérivabilité du plus grand exposant caractéristique des produits de matrices aléatoires indépendantes à coefficients positifs. (Derivability of the greatest characteristic exponent of products of independent random matrices with positive coefficients)
Random matrix products and measures on projective spaces
Stability analysis of switched systems using variational principles: An introduction
An explicit Lipschitz constant for the joint spectral radius
Analytic perturbation theory for matrices and operators. Licensed ed
The Lyapunov indicator of discrete inclusions. III
Bounded semigroups of matrices
Domains of analytic continuation for the top Lyapunov exponent
The finiteness conjecture for the generalized spectral radius of a set of matrices
The generalized spectral radius and extremal norms
Probability theory. Translated from the German by Robert B. Burckel
Inequalities for numerical invariants of sets of matrices
On the asymptotic properties of a family of matrices
Perturbation theory for linear operators.
The generalized spectral-radius theorem: An analytic-geometric proof
Stability of discrete linear inclusion
Hölder continuity of the Lyapunov exponents of linear cocycles over hyperbolic maps
Extremal norms for positive linear inclusions
Asymptotic height optimization for topical IFS, Tetris heaps, and the finiteness conjecture
[https://portal.mardi4nfdi.de/wiki/Publication:3311395 Loi des grands nombres et perturbations pour des produits r�ductibles de matrices al�atoires ind�pendantes]
Stability Criteria for Switched and Hybrid Systems
Upper bound on the regularity of the Lyapunov exponent for random products of matrices

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