getdocab62. 279KB Jun 04 2011 12:04:50 AM
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In these two variational characterizations one optimizes the same quantities as in the Dirichlet and Thomson principles, over functions on the torus of zero mean, respectively over
Recall that the excursions of the reflecting Brownian motion ξ from zero determine a family of rooted trees to which we add marks according to a Poisson point process of intensity 2
We will show that under different assumptions on the distribution of the state and the observation noise, the conditional chain (given the observations Y s which are not
The first one assumes the existence of a sequence of elements of E with the same weight (the corresponding N ( x ) are then exchangeable) and the conditional independence property
It is expected that this model displays so-called self-organised critical behaviour as the lightning rate λ goes to zero.. If we start from any configuration with infinitely many
We prove under weaker assumptions that the limit spectral distribution of sum and product of non- hermitian random matrices is universal.. As a byproduct, we show that the
Thus, Corollary 3 states that the process of departures from the queue has the same law as the process of arrivals to the queue; it can therefore be regarded as an extension of
Now, if the probability that a cell contains a poisson point is greater than 1 / 2, then the expected number of children to an individual is greater than 1 and so there is a
