The top Lyapunov exponent of random products of matrices in GL(d,R) is shown to be real-analytic in the weights p and entries A, with explicit polydisc radii in C^N and closed-form Cauchy bounds derived from a single Kato perturbation on the complexified Markov operator.
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Quantitative Analyticity for Lyapunov Exponents of Random Products of Matrices with Explicit Polydiscs and Cauchy Coefficient Bounds
The top Lyapunov exponent of random products of matrices in GL(d,R) is shown to be real-analytic in the weights p and entries A, with explicit polydisc radii in C^N and closed-form Cauchy bounds derived from a single Kato perturbation on the complexified Markov operator.