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Using percolation on the branches of a Galton-Watson tree, Aldous and Pitman constructed by time-reversal in [4] an inhomogeneous tree-valued Markov process that starts from the
In the paper [1] we proved that a similar relation as (1) holds for all continuous and bounded functions g : [0 , ∞ ) → R of finite Cesaro mean. In this note we investigate
Both infinite and sequences of finite Toeplitz matrices are considered, and also studied is the finite section method, which consists in approximating infinite systems by large
The first occurs in equation (2.4), where we overlooked the possibility that the downgoing ladder time process has a positive drift.. Assume that 0 is
We address here our attention to interacting random walkers, moving on the supercritical Bernoulli bond percolation cluster with additional environmental disorder given by
Computer simulations for the oriented competition model started in the default and other finite initial configurations suggest that the shapes of the regions occupied by the Red
Fractional Brownian motion belongs to a class of long memory Gaussian processes that can be represented as linear functionals of an infinite dimensional Markov process.. (2)
(We remind the reader that a set is called totally disconnected if it contains no connected component larger than one point.) The fractals we study are defined as the complement of
