A zero-one law for integral functionals of the Bessel process
About increments of additive functionals of diffusion processes.
About the Lindeberg method for strongly mixing sequences
About the Lindeberg method for strongly mixing sequences
We extend the Lindeberg method for the central limit theorem to strongly mixing sequences. Here we obtain a generalization of the central limit theorem of Doukhan, Massart and Rio to nonstationary strongly mixing triangular arrays. The method also provides estimates of the Lévy distance between the distribution of the normalized sum and the standard normal.
About the stationary states of vortex systems
Accuracy of approximation in the Poisson theorem in terms of the -distance.
Acknowledgment of priority: “When does a randomly weighted self-normalized sum converge in distribution?”.
Addendum: A generalization of the global limit theorems of R. P. Agnew.
Addendum to the article “On ballistic diffusions in random environment”
Additive and superadditive local theorems
Additive properties of random sequences of positive integers
Again on the weak law in martingale type p Banach spaces.
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 a nonstationary Gaussian sequence.
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 central limit theorem for ballistic random walk in random environment
We consider a multidimensional random walk in a product random environment with bounded steps, transience in some spatial direction, and high enough moments on the regeneration time. We prove an invariance principle, or functional central limit theorem, under almost every environment for the diffusively scaled centered walk. The main point behind the invariance principle is that the quenched mean of the walk behaves subdiffusively.