A Note on the Almost Sure Approximation of Weakly Dependent Random Variables.
A note on the almost sure limiting behavior of the maximun of a sequence of partial sums.
The goal of this paper is to show that, in most strong laws of large numbers, the nth partial sum can be replaced with the largest of the first n sums. Moreover it is shown that the usual assumptions of independence and common distribution are unnecessary and that these results apply also to strong laws for Banach valued random elements.
A note on the conditional expectations
A Note on the Product of Random Elements of a Semigroup.
A note on the rate of complete convergence for weighted sums of arrays of Banach space valued random elements.
A note on the weak convergence of probability measures on
A note on weak convergence on martingale measures
A probabilistic approach to representation formulae for semigroups of operators with rates of convergence.
A projective central limit theorem and interacting Fock space representation for the limit process
Accardi et al. proved a central limit theorem, based on the notion of projective independence. In this note we use the symmetric projective independence to present a new version of that result, where the limiting process is perturbed by the insertion of suitable test functions. Moreover we give a representation of the limit process in 1-mode type interacting Fock space.
A recursion formula for the moments of the gaussian orthogonal ensemble
We present an analogue of the Harer–Zagier recursion formula for the moments of the gaussian Orthogonal Ensemble in the form of a five term recurrence equation. The proof is based on simple gaussian integration by parts and differential equations on Laplace transforms. A similar recursion formula holds for the gaussian Symplectic Ensemble. As in the complex case, the result is interpreted as a recursion formula for the number of 1-vertex maps in locally orientable surfaces with a given number of...
A remark on the norm of a random walk on surface groups
We show that the norm of the random walk operator on the Cayley graph of the surface group in the standard presentation is bounded by 1/√g where g is the genus of the surface.
A representation of the characteristic functions of stable distributions in Hilbert spaces
A Simple Proof of the Majorizing Measure Theorem.
A Skorohod space of discontinuous functions on a general set
A strong invariance principle for negatively associated random fields
In this paper we obtain a strong invariance principle for negatively associated random fields, under the assumptions that the field has a finite th moment and the covariance coefficient exponentially decreases to . The main tools are the Berkes-Morrow multi-parameter blocking technique and the Csörgő-Révész quantile transform method.
A strong law of large numbers for identically distributed vector lattice-valued random variables
A survey of results on random random walks on finite groups.
A survey on the general central limit problem in Banach spaces
A theorem on weak type estimates for Riesz transforms and martingale transforms
The Riesz transforms of a positive singular measure satisfy the weak type inequalitywhere denotes Lebesgue measure and is a positive constant only depending on .
A topological version of some ergodic theorems