Abstract:Let O the basin of attraction of the unique stable equilibrium of a dynamical system, which is the law of large numbers limit of a Poissonian SDE. We consider the law of the exit point from O of that Poissonian SDE. We adapt the approach of M. Day (1990) for the same problem for a Brownian SDE. For that purpose, we will use the Large deviation for the Poissonian SDE reflected at the boundary of O studied in our recent work Pardoux and Samegni (2018).Concatenating φ i , φ and φ j , we obtain a trajectory φ with… Show more
Definition A.7.2. The collection {f n , n ≥ 1} is said to be equicontinuous if for anyNote that when X is compact, equicontinuity and uniform equicontinuity are equivalent.
Definition A.7.2. The collection {f n , n ≥ 1} is said to be equicontinuous if for anyNote that when X is compact, equicontinuity and uniform equicontinuity are equivalent.
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