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We develop from the exchange of particles in random point configurations a similar concept for states of boson systems. The central part is devoted to the study of the corresponding class of unitary operators, modelling an interaction between two Boson systems based on the exchange of particles...
This is an extension of a previous work of the first author 1, on monomial density functions, to study the approximation features over a, b of, the based on α x exponential density functions h α ( x ) when α > 0 is discrete and/or fractional. If α is discrete, a random variable of h n ( x )...
For a semicontinuous homogeneous process ξ(t) with independent increments the distribution of the its total duration of stay in an interval is obtained. In the case E ξ (1) = 0, E ξ (1) 2 < ∞, the limit theorem on a weak convergence of the time of duration of stay in an interval of the...
A random variable X is said to have the skew-uniform distribution if its pdf is ƒ( x ) = 2 g ( x ) G ( λx ), where g (·) and G (·), respectively, denote the pdf and the cdf of the Uniform (− θ , θ ) distribution. This distribution – in spite of its simplicity – appears not to have...
We continue the analysis of nontrivial examples of quantum Markov processes. This is done by applying the construction of entangled Markov chains obtained from classical Markov chains with infinite state–space. The formula giving the joint correlations arises from the corresponding classical...
The properties of stochastic flow generated by stochastic equation with reflection are studied. We investigate an instant of time and a place where particles carrying by such a flow can coalesce.
Consider the lattice approximation of a -quantum field model with different lattice cutoffs a ′ and a in the free and interacting parts, respectively. In 1 it was shown that the corresponding continuum limit measure exists if lim a →0 a ′| log a | 5/4 < ∞ and it coincides with the...
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