Penalizing null recurrent diffusions

Details Penalizing null recurrent diffusions Penalizing null recurrent diffusions

2011-11-14

arxiv.org/abs/1111.3343v1

Mathematics

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Scientific paper

We present some limit theorems for the normalized laws (with respect to functionals involving last passage times at a given level up to time t) of a large class of null recurrent diffusions. Our results rely on hypotheses on the L\'evy measure of the diffusion inverse local time at 0. As a special case, we recover some of the penalization results obtained by Najnudel, Roynette and Yor in the (reflected) Brownian setting.

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