On harmonic functions of symmetric Lévy processes

Ante Mimica

Displaying similar documents to “On harmonic functions of symmetric Lévy processes”

Wiener integral for the coordinate process under the -finite measure unifying Brownian penalisations

Kouji Yano (2011)

ESAIM: Probability and Statistics

Similarity:

Wiener integral for the coordinate process is defined under the -finite measure unifying Brownian penalisations, which has been introduced by [Najnudel , (2007) 459–466] and [Najnudel , . Mathematical Society of Japan, Tokyo (2009)]. Its decomposition before and after last exit time from 0 is studied. This study prepares for the author's recent study [K. Yano, (2010) 3492–3516] of Cameron-Martin formula for the -finite measure. ...

Supercritical super-brownian motion with a general branching mechanism and travelling waves

A. E. Kyprianou, R.-L. Liu, A. Murillo-Salas, Y.-X. Ren (2012)

Annales de l'I.H.P. Probabilités et statistiques

Similarity:

We offer a probabilistic treatment of the classical problem of existence, uniqueness and asymptotics of monotone solutions to the travelling wave equation associated to the parabolic semi-group equation of a super-Brownian motion with a general branching mechanism. Whilst we are strongly guided by the reasoning in Kyprianou ( (2004) 53–72) for branching Brownian motion, the current paper offers a number of new insights. Our analysis incorporates the role of Seneta–Heyde...

Large deviations for directed percolation on a thin rectangle

Jean-Paul Ibrahim (2012)

ESAIM: Probability and Statistics

Similarity:

Following the recent investigations of Baik and Suidan in [(2005) 325–337] and Bodineau and Martin in [ (2005) 105–112 (electronic)], we prove large deviation properties for a last-passage percolation model in ℤ whose paths are close to the axis. The results are mainly obtained when the random weights are Gaussian or have a finite moment-generating function and rely, as in [J. Baik and T.M. Suidan, (2005) 325–337] and [T. Bodineau and J. Martin, ...

Finite element approximations of a glaciology problem

Sum S. Chow, Graham F. Carey, Michael L. Anderson (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

Similarity:

In this paper we study a model problem describing the movement of a glacier under Glen's flow law and investigated by Colinge and Rappaz [Colinge and Rappaz, (1999) 395–406]. We establish error estimates for finite element approximation using the results of Chow [Chow, (1992) 769–780] and Liu and Barrett [Liu and Barrett, (1996) 98–106] and give an analysis of the convergence of the successive approximations used in [Colinge and Rappaz,...

A multi-D model for Raman amplification

Mathieu Colin, Thierry Colin (2011)

ESAIM: Mathematical Modelling and Numerical Analysis

Similarity:

In this paper, we continue the study of the Raman amplification in plasmas that we initiated in [Colin and Colin, (2004) 297–330; Colin and Colin, (2006) 535–562]. We point out that the Raman instability gives rise to three components. The first one is collinear to the incident laser pulse and counter propagates. In 2-D, the two other ones make a non-zero angle with the initial pulse and propagate forward. Furthermore they are symmetric with respect...