18 citations · 59 across the 39 of their papers we have counts for
7 papers · 1 filter
Limit Theorems for Disordered Quantum Trajectories
Yeor Hafouta, Lubashan Pathirana
We study discrete-time quantum trajectories of a finite-dimensional system in a disordered environment, where the instrument applied at each step is determined by an invertible mea…
Berry--Esseen theorems, LLT, Edgeworth expansions, and large deviations for Locally Stationary Markov Chains
Yeor Hafouta, Brendan Williams
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 gene…
Thermodynamic Formalism Out of Equilibrium Part III: Local Limit Theorem and Statistical Properties
Snir Ben Ovadia, Yeor Hafouta
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…
Local limit theorem and Edgeworth expansions for inhomogeneous random walks on
Yeor Hafouta
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 inc…
Quenched and annealed linear response for some partially hyperbolic skew products
Davor Dragicevic, Yeor Hafouta
We prove quenched and annealed statistical stability, linear response, and differentiability of asymptotic moments for parametric families of partially hyperbolic skew products, wi…
Berry-Esseen Bounds for Statistics of Non-Stationary, -Mixing Random Variables
Brendan Williams, Yeor Hafouta
Using a modification of Stein's method, we generalize the results of Bentkus, G{ö}tze, and Tikhomirov \cite{bentkus1997berry} to obtain Berry-Esseen bounds for a broad class of sta…
Effective geometric ergodicty for Markov chains in random environment
Yeor Hafouta
In this short note we prove ``effective" geometric ergodicity (i.e a Perron-Frobenius theorem) for Markov chains in random mixing dynamical environment satisfying a random non-unif…