2007/11/01 by Víctor Rivero
Economics, Econometrics and Finance · Mathematics · #Applied mathematics #Combinatorics #Computer science #Discrete mathematics #Extension (predicate logic) #Markov chain #Markov model #Markov process #Markov property #Markov renewal process #Mathematical Dynamics and Fractals #Mathematics #Statistics #Stochastic processes and financial applications #Stochastic processes and statistical mechanics #math.PR
paper · pdf · doi:10.3150/07-bej6082
published as Bernoulli 2007, Vol. 13, No. 4, 1053-1070 · Published in at http://dx.doi.org/10.3150/07-BEJ6082 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)
openalex publication_date 2007/11/01 · arxiv created 2007/11/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We prove that a positive self-similar Markov process (X, ℙ) that hits 0 in a finite time admits a self-similar recurrent extension that leaves 0 continuously if and only if the underlying Lévy process satisfies Cramér’s condition.