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CENTRAL LIMIT THEOREM FOR RECURRENT RANDOM WALKS ON A STRIP WITH BOUNDED POTENTIAL
RANDOM WALKS CENTRAL LIMIT THEOREM
2015/9/29
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.
Central Limit Theorem for Excited Random Walk in the Recurrent Regime
Recurrent Regime Excited Random Walk
2015/9/29
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...
Central limit theorem for triangular arrays of Non-Homogeneous Markov chains
central limit theorem triangular arrays non-homogeneousMarkov chains
2011/3/1
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...
Kerov's central limit theorem for Schur-Weyl measures of parameter 1/2
Kerov's central limit theorem Schur-Weyl measures parameter 1/2
2010/12/9
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...
Generalized Central Limit Theorem and Renormalization Group
Central Limit Theorems Stable Distributions Characteristic Functions
2010/12/7
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...
The role of the central limit theorem in discovering sharp rates of convergence to equilibrium for the solution of the Kac equation
Berry–Esseen inequalities central limit theorem
2010/12/8
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...