Add to ORKGGiven an i.i.d. sequence $\{A_n(\omega)\}_{n\ge 1}$ of invertible matrices and a random matrix $B(\omega)$, we consider the random matrix sequences inductively defined by $S_n(\omega) = A_n(\omega)S_{n-1}(\omega)$ and $T_n(\omega) = B(\sigma^{n-1}\omega)S_{n-1}(\omega)+A_n(\omega)T_{n-1}(\omega)$, and study several limit theorems involving $T_n(\omega)$ as well as the asymptotic behaviour of the action of $T_n(\omega)$ on the projective space and on the unit circle.Comment: 35 page
AbstractLet ϕ:R+×Ω×M→Ω×M be a measurable random dynamical systems on the compact metric space M over...
We study Fourier multiplier operators associated with symbols $\xi\mapsto \exp(i\lambda\phi(\xi/|\xi...
Approximation of some classes of random processes by cubic splines with given accuracy and reliabili...
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The vector difference equation ξk = Af(ξk−1)+εk, where (εk) is a square integrable difference marti...
Motivated by the Rudnick-Sarnak theorem we study limiting distribution of smoothed local correlation...
Contains a correction with respect to the printed versionWe provide sharp estimates for the number o...
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Asymptotic formulas for large-deviation probabilities of a ladder height in a random walk generated...
The estimates of the rate of convergence of the distribution of the rank of a random matrix over th...
Let $\mu$ be an even Borel probability measure on ${\mathbb R}$. For every $N>n$ consider $N$ indepe...
Let {Xj1 -∞<j<∞} be a strictly stationary sequence of random variables centered at expectations with...
We prove a conjecture of Widom (2002 Int. Math. Res. Not. 455–64 (Preprint math/0108008)) about the ...
I. Fazekas in [3] studied the classical martingale convergence theorem of Doobfor one-parameterΛ-ma...
AbstractLet {X,Xn;n⩾1} be a sequence of i.i.d. random variables taking values in a real separable Hi...
AbstractLet ϕ:R+×Ω×M→Ω×M be a measurable random dynamical systems on the compact metric space M over...
We study Fourier multiplier operators associated with symbols $\xi\mapsto \exp(i\lambda\phi(\xi/|\xi...
Approximation of some classes of random processes by cubic splines with given accuracy and reliabili...
AbstractIn this paper, we investigate the existence of random fixed point for random mixed monotone ...
The vector difference equation ξk = Af(ξk−1)+εk, where (εk) is a square integrable difference marti...
Motivated by the Rudnick-Sarnak theorem we study limiting distribution of smoothed local correlation...
Contains a correction with respect to the printed versionWe provide sharp estimates for the number o...
Given a probability space (Ω,A, P), a complete and separable metric space X with the σ-algebra B of...
Asymptotic formulas for large-deviation probabilities of a ladder height in a random walk generated...
The estimates of the rate of convergence of the distribution of the rank of a random matrix over th...
Let $\mu$ be an even Borel probability measure on ${\mathbb R}$. For every $N>n$ consider $N$ indepe...
Let {Xj1 -∞<j<∞} be a strictly stationary sequence of random variables centered at expectations with...
We prove a conjecture of Widom (2002 Int. Math. Res. Not. 455–64 (Preprint math/0108008)) about the ...
I. Fazekas in [3] studied the classical martingale convergence theorem of Doobfor one-parameterΛ-ma...
AbstractLet {X,Xn;n⩾1} be a sequence of i.i.d. random variables taking values in a real separable Hi...
AbstractLet ϕ:R+×Ω×M→Ω×M be a measurable random dynamical systems on the compact metric space M over...
We study Fourier multiplier operators associated with symbols $\xi\mapsto \exp(i\lambda\phi(\xi/|\xi...
Approximation of some classes of random processes by cubic splines with given accuracy and reliabili...