Author

Y. Hafouta

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Preprint Sep 2026

Berry--Esseen theorems, LLT, Edgeworth expansions, and large deviations for Locally Stationary Markov Chains

Locally stationary Markov chains have attracted a lot of attention in statistics in the past three decades. In this paper we prove a variety of limit theorems for partial sums generated by such chains. We first provide explicit formulas for the asymptotic mean and variance (and also higher moments), and obtain optimal...

Y. Hafouta, B. Williams · 0 citations

Preprint Sep 2026

Thermodynamic Formalism Out of Equilibrium Part III: Local Limit Theorem and Statistical Properties

We study limit theorems for random dynamical systems. We recast the random dynamics via the skew-product of the two-point motion (the Varadhan trick). Using this approach we prove several statistical properties for the system, including quenched central limit theorems with rates, quenched local limit theorem, large dev...

S. ben Ovadia, Y. Hafouta · 0 citations

Preprint Aug 2026

Local limit theorem and Edgeworth expansions for inhomogeneous random walks on $GL(d,\mathbb R)$

We prove a non-lattice local central limit theorem and Edgeworth expansions for the logarithm of the norms of products of invertible independent random matrices. Our conditions include a contraction assumption, an assumption that supports of the matrices are ``large enough"and their distributions are sufficiently regul...

Y. Hafouta · 0 citations