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We prove that one characterization for the classical orthogonal polynomials sequences (Hermite, Laguerre, Jacobi and Bessel) cannot be extended to the semi-classical ones..
A class of discrete renewal processes with exponentially decaying inter-arrival distributions coincides with the infinite volume limit of general homogeneous pinning models in
Abstract A common technique in the theory of stochastic process is to replace a discrete time coordinate by a continuous randomized time, defined by an independent Poisson or
A construction of processes with one-dimensional martingale marginals, associated with a Lévy process, via its Lévy sheet.. Self-similar processes with independent increments
We also mention that a different connection linking L´evy processes with no negative jumps to continuous state branching processes has recently been pointed out by Le Gall and Le
A Central Limit Theorem for non-commutative random variables is proved using the Lindeberg method.. The theorem is a generalization of the Central Limit Theorem for free random
Roughly speaking, the Krawtchouk process is a system of non-colliding random walks in discrete time and the Charlier process is the continuous-time analogue (but note that they
To change the velocity of the massless charge the energy is necessary which is too large to be observed, while non-accelerated photon-like charge does not generate the
