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Steiner , On the joint distribution of q-additive functions on polynomial sequences , Theory of Stochastic Processes 8 (24) (2002), 336–357.
de Acosta, Large deviations for vector valued additive functionals of a Markov process: Lower bounds.. Ney, Large deviation lower bounds for arbitrary additive functionals of a
We study the dynamics of a certain discrete model of interacting interlaced particles that comes from the so called shuffling algorithm for sampling a random tiling of an
Our processes are obtained via a limit transition from a model of random strict partitions introduced by Borodin (1997) in connection with the problem of harmonic analysis
As a byproduct, applying the general criterion of [F] leading to the hydrodynamic limit of exclusion processes with bond–dependent transition rates, for almost all realizations of
The maximal inequalities can be used to obtain the invariance principles for random elements associated to partial sums of weakly dependent random variables by using Theorem (8.3)
We present a tail inequality for suprema of empirical processes generated by vari- ables with finite ψ α norms and apply it to some geometrically ergodic Markov chains to derive
Our original motivation for this work was a paper of Kurt Johansson’s [ 2 ] on the saturation be- haviour of the expected number variance of some point processes constructed