Observations de M. Rouché en réponse à une Note de M. Delannoy
Occupation laws for some time-nonhomogeneous Markov chains.
Occupation time sets of supports of continuous additive functionals
Occupation times of branching systems with initial inhomogeneous Poisson states and related superprocesses.
Occupation times of compact sets by planar brownian motion
On a Bernoulli Property of some Piecewise C2-Diffeomorphisms in ...d.
On a bound on algebraic connectivity: the case of equality
In a recent paper the authors proposed a lower bound on , where , , is an eigenvalue of a transition matrix of an ergodic Markov chain. The bound, which involved the group inverse of , was derived from a more general bound, due to Bauer, Deutsch, and Stoer, on the eigenvalues of a stochastic matrix other than its constant row sum. Here we adapt the bound to give a lower bound on the algebraic connectivity of an undirected graph, but principally consider the case of equality in the bound when...
On a Class of Discrete Distributions Arising from the Birth-Death-with-Immigration Process.
On a class of linear models.
This paper is concerned with classification criteria, asymptotic behaviour and stationarity of a non-Markovian model with linear transition rule, called a linear OM-chain. This problems are solved by making use of the structure of the stochastic matrix appearing in the definition of such a model. The model studied includes as special cases the Markovian model as well as the linear learning model, and has applications in psychological and biological research, in control theory, and in adaptation...
On a Class of Markov Processes in Hilbert Space.
On a conjecture of F.B. Knight. Two characterization results related to the prediction processes
On a construction of Markov processes associated with time dependent Dirichlet spaces.
On a direct method for the solution of nearly uncoupled Markov chains.
On a functional equation with asymptotically unique continuous solutions. (Short Communication).
On a functional equation with asymptotically unique continuous solutions.
On a gambler's ruin problem
On a mean reward from a common Markov replacement process
On a mean reward from a Markov replacement process with only one isolated class of recurrent states
On a non-linear semi-group associated with stochastic optimal control and its excessive majorant
On a result of David Aldous concerning the trees in a conditioned excursion.