Addendum to the article “On ballistic diffusions in random environment”
Almost Everywhere Convergence of Series.
Almost sure approximation of unbounded operators in
The possibilities of almost sure approximation of unbounded operators in by multiples of projections or unitary operators are examined.
Almost sure central limit theorem for product of partial sums of strongly mixing random variables.
Almost sure central limit theorem without logarithmic sums.
Almost sure central limit theorems for strongly mixing and associated random variables.
Almost sure convergence for the maximum and the sum of nonstationary Gaussian sequences. (Almost sure convergence for the maximum and the sum of nonstationary guassian sequences.)
Almost sure functional limit theorem for the product of partial sums
We prove an almost sure functional limit theorem for the product of partial sums of i.i.d. positive random variables with finite second moment.
Almost sure functional limit theorems in .
Almost sure limit theorems for dependent random variables
For a sequence of dependent random variables we consider a large class of summability methods defined by R. Jajte in [jaj] as follows: For a pair of real-valued nonnegative functions g,h: ℝ⁺ → ℝ⁺ we define a sequence of “weighted averages” , where g and h satisfy some mild conditions. We investigate the almost sure behavior of such transformations. We also take a close look at the connection between the method of summation (that is the pair of functions (g,h)) and the coefficients that measure...
Almost sure path properties of branching diffusion processes
Almost Sure Sampling Reconstruction Of Non-Band-Limited Homogeneous Random Fields
An algebraic approach to Pólya processes
Pólya processes are natural generalizations of Pólya–Eggenberger urn models. This article presents a new approach of their asymptotic behaviour via moments, based on the spectral decomposition of a suitable finite difference transition operator on polynomial functions. Especially, it provides new results for large processes (a Pólya process is called small when 1 is a simple eigenvalue of its replacement matrix and when any other eigenvalue has a real part ≤1/2; otherwise, it is called large).
An almost sure central limit theorem for independent random variables
An almost sure limit theorem for moving averages of random variables between the strong law of large numbers and the Erdös-Rényi law
An almost sure limit theorem for moving averages of random variables between the strong law of large numbers and the Erdös-Rényi law
We prove a strong law of large numbers for moving averages of independent, identically distributed random variables with certain subexponential distributions. These random variables show a behavior that can be considered intermediate between the classical strong law and the Erdös-Rényi law. We further show that the difference from the classical behavior is due to the influence of extreme terms.
An almost sure limit theorem for the maxima of strongly dependent Gaussian sequences.
An almost sure limit theorem for -mixing random fields.
An asymptotic result for brownian polymers
We consider a model of the shape of a growing polymer introduced by Durrett and Rogers (Probab. Theory Related Fields92 (1992) 337–349). We prove their conjecture about the asymptotic behavior of the underlying continuous process Xt (corresponding to the location of the end of the polymer at time t) for a particular type of repelling interaction function without compact support.
An extension of the Borel lemma