A class of generalized Ornstein transformations with the weak mixing property
A class of nonstationary adic transformations
A note on ergodic transformations of self-similar Volterra Gaussian processes.
A note on mixing properties of invertible extensions.
A quantified Tauberian theorem for sequences
The main result of this paper is a quantified version of Ingham's Tauberian theorem for bounded vector-valued sequences rather than functions. It gives an estimate on the rate of decay of such a sequence in terms of the behaviour of a certain boundary function, with the quality of the estimate depending on the degree of smoothness this boundary function is assumed to possess. The result is then used to give a new proof of the quantified Katznelson-Tzafriri theorem recently obtained by the author...
About projections of logarithmic Sobolev inequalities
About the existence of the thermodynamic limit for some deterministic sequences of the unit circle.
About the existence of the thermodynamic limit for some deterministic sequences of the unit circle.
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 rates of mixing for i.i.d. unimodal maps
An extension which is relatively twofold mixing but not threefold mixing
We give an example of a dynamical system which is mixing relative to one of its factors, but for which relative mixing of order three does not hold.
Attracteurs, orbites et ergodicité