18 citations · 59 across the 39 of their papers we have counts for
47 papers
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…
Limit theorems for inhomogeneous random walks on
Yeor Hafouta
We prove Berry-Esseen theorems, almost sure invariance principle rates and large deviations for products of independent but not identically distributed invertible matrices with som…
Non-uniform Edgeworth expansions for weakly dependent random variables and their applications
Yeor Hafouta
We obtain non-uniform Edgeworth expansions for several classes of weakly dependent (non-stationary) sequences of random variables, including uniformly elliptic inhomogeneous Markov…
Decay of correlations and limit theorems for random intermittent maps
Davor Dragicevic, Yeor Hafouta, Juho Leppanen
In this paper, we revisit the problem of polynomial memory loss and the central limit theorem for time-dependent LSV maps. More precisely, we show that for random LSV maps correspo…
Statistical properties of Markov shifts (part I)
Yeor Hafouta
We prove central limit theorems, Berry-Esseen type theorems, almost sure invariance principles, large deviations and Livsic type regularity for partial sums of the form $S_n=\sum_{…
Statistical properties of Markov shifts: part II-LLT
Yeor Hafouta
We prove Local Central Limit Theorems (LLT) for partial sums of the form , where is a Markov chains with equicontinuou…
Limit theorems for inhomogeneous -mixing Markov chains
Yeor Hafouta, Brenden Williams
We prove limit theorems for inhomogeneous -mixing Markov chains. In the case of uniform -mixing, we will focus on the purely sequential (inhomogeneous) setting, while in the…
A few notes on the asymptotic behavior of Rademacher random multiplicative functions
Yeor Hafouta
Let $X_p, p\in\cP$ be a sequence of independent random variables s.t. $\bbP(X_p=\pm 1)=1/2$. Let $\te_j=\prod_{p|j}X_p$ if is square free and $\te_j=0$ otherwise. Denote $S_n=\…
Livšic regularity for random and sequential dynamics through transfer operators
Lucas Backes, Davor Dragicevic, Yeor Hafouta
We prove Livšic-type regularity results of coboundary representations for non-autonomous dynamical systems. Our results have an abstract nature and apply to several important speci…
Local limit theorems for expanding maps
Dmitry Dolgopyat, Yeor Hafouta
We prove local central limit theorems for partial sums of the form \newline where are uniformly Hölder f…
Effective quenched linear response for random dynamical systems
Davor Dragicevic, Yeor Hafouta
We prove ``effective'' linear response for certain classes of non-uniformly expanding random dynamical systems which are not necessarily composed in an i.i.d manner. In application…
Rates of convergence in CLT and ASIP for sequences of expanding maps
Dmitry Dolgopyat, Yeor Hafouta
We prove Berry-Esseen theorems and the almost sure invariance principle with rates for partial sums of the form …
Iterated invariance principle for random dynamical systems
Davor Dragicevic, Yeor Hafouta
We prove a weak iterated invariance principle for a large class of non-uniformly expanding random dynamical systems. In addition, we give a quenched homogenization result for fast-…
Spectral methods for limit theorems for random expanding transformations
Yeor Hafouta
We extend the spectral method for proving limit theorems to random non-uniformly expanding dynamical systems. This yields the CLT and moderate deviations principles (MDP). We show…
Non-uniform Berry-Esseen theorems for weakly dependent random variables
Yeor Hafouta
We obtain non-uniform Berry-Esseen type estimates for several classes of weakly dependent sequences of random variables, including uniformly elliptic inhomogeneous Markov chains, r…
Explicit conditions for the CLT and related results for non-uniformly partially expanding random dynamical systems via effective RPF rates
Yeor Hafouta
The purpose of this paper is to provide a first class of explicit sufficient conditions for the central limit theorem and related results in the setup of non-uniformly (partially)…
Generalized Edgeworth expansions for integer-valued additive functionals of uniformly elliptic Markov chains
Dmitry Dolgopyat, Yeor Hafouta
We obtain asymptotic expansions for probabilities $\bbP(S_N=k)$ of partial sums of uniformly bounded integer-valued functionals $\DS S_N=\sum_{n=1}^N f_n(X_n)$ of uniformly ellipti…
A Berry-Esseen theorem and Edgeworth expansions for uniformly elliptic inhomogeneous Markov chains
Dmitry Dolgopyat, Yeor Hafouta
We prove a Berry-Esseen theorem and Edgeworth expansions for partial sums of the form , where is a uniformly elliptic inhomogeneous Ma…