Special, conjugate and complete scale functions for spectrally negative Lévy Following from recent developments in Hubalek and Kyprianou , the objective . Motivated by classical considerations from risk theory, we investigate boundary crossing problems for refracted Lévy processes. The latter is a Lévy process. The purpose of this article is to provide, with the help of a fluctuation identity, a generic link between a number of known identities for the first passage time and.
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A copy of this manuscript is available from the author upon request. Bernoulli 13 4, On the density of exponential functionals of Levy processeswith J. On some transformations between self-similar Markov processeswith Loic Chaumont. Stochastic Processes and their Applications 12, Random coverings and self-similar Markov processes [ Introduction. In collaboration with Mena, R.
Journal of Theoretical Probability 23, The excursion measure away from zero for spectrally negative Levy processes with Pardo, J.
In collaboration with Ma. Entrance laws for positive self-similar Markov processes. Submitted The excursion measure away from zero for spectrally negative Levy processes with Pardo, J. Asymptotic behaviour of first passage time kypriznou for Levy processeswith R.
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On branching process with rare neutral mutation. Electronic Journal of Probability.
On random sets connected to the partial records of Poisson point processes Journal of Theoretical Probability 16 1 Conditioned real self-similar Markov processes with Andreas E. On the asymptotic behaviour of increasing self-similar Markov processeswith Maria Emilia Caballero. The Lamperti representation of real-valued self-similar Markov processeswith L.
Special, conjugate and complete scale functions for spectrally negative Levy processeswith Andreas E. Introduccion a los procesos de Markov auto-similares positivos Introduction to the theory of positive self-similar Markov processes Spanish Course tought at the V Escuela de verano de Probabilidad, September Self similar Markov processes With Pardo, J.
Annals of Applied Probability 20 no 2, Lecture Notes in MathematicsVol. Conditioned real self-similar Markov processes.
Kyprianou and Renming Song. Submitted Entrance laws for positive self-similar Markov processes Accepted for publication in the Proceedings of the First Congress of the Americas, Contemporary Mathematics Exact and asymptotic n-tuple laws at first and last passagewith A. Probability Theory and Related Fields Mexicana 3 19no.
Electronic Journal of Probability Vol. Asymptotic behaviour of first passage time distributions for subordinators. Deep factorisation of the stable process II, potentials and applications. Quasi-stationary distributions and Yaglom limits of self-similar Markov processes, with B. lyprianou
Kyprianou , Loeffen : Refracted Lévy processes
Emilia Caballero and Juan Ruiz de Chavez. Kyprianou and Bati Sengul. Kyprianou and Weerapat Satitkanitkul. The theory of scale functions for spectrally negative Levy processeswith A. Kyprianoh subordinators and applications with Kyprianou, A. Fluctuation theory and exit systems for positive self-similar Markov processeswith L. Stochastic Processes and their Applications, Stochastic ModelsVol. Submitted Conditioned subordinators and applications with Kyprianou, A. On exponential functionals, harmonic potential measures and undershoots of subordinatorsWith Alili, L.
Probability Theory and Related Fields Annals of Probability Vol. Tail asymptotics for exponential functionals of Levy processes: A law of iterated logarithm for increasing self-similar Markov processes Stochastics and Stochastics Reports 75 6