Complex behaviour in many systems arises from the stochastic interactions of spatially distributed particles or agents. Stochastic reaction–diffusion processes are widely used to model such behaviour ...
We consider a stationary Poisson process X of k-flats in ℝ d with intensity measure Θ and a measurable set S of k-flats depending on F 1 ,..., F n ∈ X, x ∈ ℝ d , and X in a specific equivariant way.
The paper describes a new numerical method for the calculation of noncrossing probabilities for arbitrary boundaries by a Poisson process. We find the method to be simple in implementation, quick and ...
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