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math.PR2021
Lévy processes conditioned to stay in a half-space with applications to directional extremes
Jevgenijs Ivanovs, Jakob D. Thøstesen
This paper provides a multivariate extension of Bertoin's pathwise construction of a Lévy process conditioned to stay positive/negative. Thus obtained processes conditioned to stay…
math.PR2020
Discretization of the Lamperti representation of a positive self-similar Markov process
Jevgenijs Ivanovs, Jakob D. Thøstesen
This paper considers discretization of the Lévy process appearing in the Lamperti representation of a strictly positive self-similar Markov process. Limit theorems for the resultin…