18 citations · 59 across the 39 of their papers we have counts for
5 papers · 2 filters
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…
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…
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…