El Hadji Yaya Tall

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math.DS2026

Hölder regularity of the top Lyapunov exponent for random matrix products with low-dimensional equator

Ana Cristina Barreto, Adriana Sánchez, El Hadji Yaya Tall +1

We investigate the regularity of Lyapunov exponents for products of random invertible matrices of arbitrary dimension $d \geq 2$ . We prove that the top Lyapunov exponent is pointwise…

math.DS2026

Log-Höder continuity at zero Lyapunov gap for finite state Markov $G L (2)$ -cocycles

El Hadji Yaya Tall

We prove that the extremal Lyapunov exponents of finite-state Markov $GL (2, R)$ -cocycles are pointwise log-Hölder continuous, jointly in the cocycle matrices and t…

math.DS2026

Analyticity of Lyapunov Exponents for Mixed Markov Quasi-Periodic Cocycles

EL Hadji Yaya Tall

We study the dependence of the top Lyapunov exponent of a mixed Markov quasi-periodic cocycle on the transition probabilities. The transition matrix is assumed primitive, the Marko…

math.DS2021

Analyticity of the Lyapunov exponents of random products of quasi-periodic cocycles

Jamerson Bezerra, Adriana Sánchez, El Hadji Yaya Tall

We show that the top Lyapunov exponent $λ_{+} (p)$ , $p = (p_{1}, \dots, p_{N})$ with $p_{i} > 0$ for each $i$ , associated with a random product of quasi-periodic cocycles depends real anal…

Hölder regularity of the top Lyapunov exponent for random matrix products with low-dimensional equator

Log-Höder continuity at zero Lyapunov gap for finite state Markov GL(2)-cocycles

Analyticity of Lyapunov Exponents for Mixed Markov Quasi-Periodic Cocycles

Analyticity of the Lyapunov exponents of random products of quasi-periodic cocycles

Log-Höder continuity at zero Lyapunov gap for finite state Markov $G L (2)$ -cocycles