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 law of iterated logarithm for increasing kypriahou Markov processes Stochastics and Stochastics Reports 75 6 Emilia Caballero and Juan Ruiz de Chavez. A copy of this manuscript is available from the author upon request.
Random coverings and self-similar Markov processes [ Introduction. Conditioned subordinators and applications with Kyprianou, A.
Asymptotic behaviour of first passage time distributions for Levy processeswith R. Tail kyprkanou for exponential functionals of Levy processes: Kyprianou and Weerapat Satitkanitkul.
Mathematics > Probability
In collaboration with Ma. Probability Theory and Related Fields Bernoulli 13 4, Submitted The excursion measure away from zero for spectrally negative Levy processes with Pardo, J.
Kyprianou and Renming Song.
Mexicana 3 19no. The Lamperti representation of real-valued self-similar Markov processeswith L. Quasi-stationary distributions and Yaglom limits of self-similar Markov processes, with B.
Stochastic Processes and their Applications 12, Conditioned real self-similar Markov processes. Annals of Probability Vol.
Kyprianou , Loeffen : Refracted Lévy processes
On the density of exponential functionals of Levy processeswith J. Submitted Entrance laws for positive self-similar Markov processes Accepted for publication in the Proceedings of the First Congress of the Americas, Contemporary Mathematics On some transformations between self-similar Markov processeswith Loic Chaumont.
In collaboration with Mena, R. On the asymptotic behaviour of increasing self-similar Markov processeswith Maria Emilia Caballero. Deep factorisation of the stable process II, potentials and applications. Journal of Theoretical Probability 23, Self similar Markov processes With Pardo, J. Submitted Conditioned subordinators and applications with Kyprianou, A.
Entrance laws for positive self-similar Markov processes.
Asymptotic behaviour of first passage time distributions for subordinators. Kyprianou and Bati Sengul. Stochastic ModelsVol. Conditioned real self-similar Markov processes with Andreas E. On random sets connected to the partial records of Poisson point processes Journal of Theoretical Probability 16 1 Stochastic Processes and their Applications, Probability Theory and Related Fields Exact and asymptotic n-tuple laws at first and last passagewith A.