This paper describes a technique for analyzing the stochastic structure of the vectorial capacity using moment–generating functions. In such formulation, for an infectious disease transmitted by a vector, we obtain the generating function for the distribution of the number of infectious contacts (e.g., infectious bites from mosquitoes) between vectors and humans after a contact to a single infe...

This paper studies the behavior of a discrete queueing system which accepts synchronized arrivals and provides synchronized services. The number of arrivals occurring at an arriving point may follow any arbitrary discrete distribution possessing finite first moment and convergent probability generating function in I z [ ~< 1 + e with e > O. The system is equipped with an infinite buffer and one...

The ensemble CUE(q) of truncated random unitary matrices is a deformation of the usual Circular Unitary Ensemble depending on a discrete non-negative parameter q. CUE(q) is an exactly solved model of random contraction matrices originally introduced in the context of scattering theory. In this article, we exhibit a connection between CUE(q) and Fisher’s randomturns vicious walker model from sta...