@article {IOPORT.00027220,
    author       = {Kalpazidou, Sophia},
    title        = {Continuous parameter circuit processes with finite state space.},
    year         = {1991},
    journal      = {Stochastic Processes and their Applications},
    volume       = {39},
    number       = {2},
    issn         = {0304-4149},
    pages        = {301-323},
    publisher    = {Elsevier Science Publishers B.V. (North-Holland), Amsterdam},
    doi          = {10.1016/0304-4149(91)90085-Q},
    abstract     = {Summary: Given a finite set $S$, a class ${\cal C}$ of overlapping directed circuits in $S$ and a collection of weight functions $w\sb c: [0,+\infty)\to[0,+\infty)$, $c\in{\cal C}$, that verify certain topological and algebraic relations, we uniquely define a continuous parameter Markov process $(\xi\sb t)\sb{t\ge 0}$ called a circuit process. The constructive solution to a correspondence $(\xi\sb t)\sb{t\ge 0}\to\{{\cal C},w\sb c\}$, which becomes one-to-one when $\{{\cal C},w\sb c\}$ can be given a probabilistic interpretation, is described. In particular we show that the L\'evy-Austin-Ornstein theorem concerning the positiveness of the transition probabilities $p\sb{ij}(\cdot)$ is a qualitative property. Also it is proved that the intensities $q\sb{ij}$ have a probabilistic interpretation in terms of the sample paths of the discrete skeletons. Finally, analytical properties of the weight functions are studied.},
    identifier   = {00027220},
}