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We prove that a recurrent random walk (RW) in i.i.d. random environment (RE) on a strip which does not obey the Sinai law exhibits the Central Limit asymptotic behaviour.
We consider excited random walk on a strip. We assume that the cookies are positive and that the total expected drift per site is less than 1/L where L is the width of the strip. We prove a quenched...
We prove a local limit the sums of independent random vectors satisfying appropriate tightness assumptions. In particular, the local limit theorem holds in dimension 1 if the summands are uniformly bo...
In this paper, we study the complex Wigner matrices $M_n=\frac{1}{\sqrt{n}}W_n$ whose eigenvalues are typically in the interval $[-2,2]$. Let $\lambda_1\leq \lambda_2...\leq\lambda_n$ be the ordered e...
In this paper,in the base of sublinear expectation space called 'G-expectation space' that introduced by Peng , adapting Peng's IID notion and applying Peng's new CLT under sublinear expectations, we ...
Abstract: We use a Stochastic Differential Equation satisfied by Brownian motion taking values in the unit sphere $S_{n-1}\subset\mathbb{R}^{n}$ and we obtain a Central Limit Theorem for a sequence of...
We prove a new sharp correlation inequality for sums of i.i.d.square integrable lattice distributed random variables. We also apply it to establish an almost sure local limit theorem for iid square in...
In this paper we obtain the central limit theorem for triangular arrays of non-homogeneous Markov chains under a condition imposed to the maximal coefficient of correlation. The proofs are based on ma...
In this article, we show that Kerov’s central limit theorem related to the fluctuations of Young diagrams under the Plancherel measure extends to the case of Schur-Weyl measures, which are the probab...
We introduce a simple instance of the renormalization group transformation in the Banach space of probability densities. By changing the scaling of the renormalized variables we obtain, as fixed point...
In Dolera, Gabetta and Regazzini [Ann. Appl. Probab. 19 (2009)186–201] it is proved that the total variation distance between the solution f(·, t) of Kac’s equation and the Gaussian density (0,2) has...

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