MaPhySto
The Danish National Research Foundation:
Network in Mathematical Physics and Stochastics

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Funded by The Danish National Research Foundation

Abstract
It is shown that it is possible to bound the path of an arbitrary Levy process above and below by the paths of two random walks. These walks have the same step distribution, but different random starting points. This allows one to deduce Levy process versions of many known results about the large-time behaviour of random walks. This is illustrated by establishing a comprehensive theorem about Levy processes which converge to infinity in probability.

Contact person:Magnus Jacobsen.