On pseudo-random sequences and their relation to a class of stochastical laws
On Q-independence, limit theorems and q-Gaussian distribution
We formulate the notion of Q-independence which generalizes the classical independence of random variables and free independence introduced by Voiculescu. Here Q stands for a family of polynomials indexed by tiny partitions of finite sets. The analogs of the central limit theorem and Poisson limit theorem are proved. Moreover, it is shown that in some special cases this kind of independence leads to the q-probability theory of Bożejko and Speicher.
On quadratic stochastic processes.
On quantum extensions of the Azéma martingale semi-group
On quenched and annealed critical curves of random pinning model with finite range correlations
This paper focuses on directed polymers pinned at a disordered and correlated interface. We assume that the disorder sequence is a -order moving average and show that the critical curve of the annealed model can be expressed in terms of the Perron–Frobenius eigenvalue of an explicit transfer matrix, which generalizes the annealed bound of the critical curve for i.i.d. disorder. We provide explicit values of the annealed critical curve for and and a weak disorder asymptotic in the general case....
On (r, 2)-capacities for a class of elliptic pseudo differential operators.
On random boundary value problems for ordinary differential equations
On random convex hulls
On random discrete distributions
On random entire functions
On random evolutions induced by countable state space Markov chains
On random fractals with infinite branching: definition, measurability, dimensions
We investigate the definition and measurability questions of random fractals with infinite branching, and find, under certain conditions, a formula for the upper and lower Minkowski dimensions. For the case of a random self-similar set we obtain the packing dimension.
On random orthogonal polynomials.
On random split of the segment
We consider a partition of the interval [0,1] by two partition procedures. In the first a chosen piece of [0,1] is split into halves, in the second it is split by uniformly distributed points. Initially, the interval [0,1] is divided either into halves or by a uniformly distributed random variable. Next a piece to be split is chosen either with probability equal to its length or each piece is chosen with equal probability, and then the chosen piece is split by one of the above procedures. These...
On random subsets of projective spaces
On Random Variables with the Same Distribution Type as Their Random sum
On random walk simulation of one-dimensional diffusion processes with discontinuous coefficients.
On random walks with continuous components.
On randomized stopping times.
In this note we give a proof of the fact that the extremal elements of the set of randomized stopping times are exactly the stopping times.
On randomly colouring locally sparse graphs.