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2000 Mathematics Subject Classification: 60J80.
In this work, the problem of the limiting behaviour of an irreducible Multitype Galton-Watson Branching Process with period d greater
than 1 is considered. More specifically, almost sure convergence of some
linear functionals depending on d consecutive generations is studied under
hypothesis of non extinction. As consequence the main parameters of the
model are given a convenient interpretation from a practical point of view.
For a better...
Let A be a k-algebra and G be a group acting on A. We show that G also acts on the Hochschild cohomology algebra HH ⊙ (A) and that there is a monomorphism of rings HH ⊙ (A) G→HH ⊙ (A[G]). That allows us to show the existence of a monomorphism from HH ⊙ (Ã) G into HH ⊙ (A), where à is a Galois covering with group G.
The paper deals with a class of discrete-time stochastic control processes under a discounted optimality criterion with random discount rate, and possibly unbounded costs. The state process and the discount process evolve according to the coupled difference equations
where the state and discount disturbance processes and are sequences of i.i.d. random variables with densities and respectively. The main objective is to introduce approximation algorithms of the optimal...
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