Thomas Duquesne
University of Paris
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Featured researches published by Thomas Duquesne.
arXiv: Probability | 2010
Thomas Duquesne
In this paper we discuss Hausdorff and packing measures of random continuous trees called stable trees. Stable trees form a specific class of Levy trees (introduced by Le Gall and Le Jan in [33]) that contains Aldous’s continuum random tree which corresponds to the Brownian case. We provide results for the whole stable trees and for their level sets that are the sets of points situated at a given distance from the root. We first show that there is no exact packing measure for level sets. We also prove that non-Brownian stable trees and their level sets have no exact Hausdorff measure with regularly varying gauge function, which continues previous results from [14].
arXiv: Probability | 2002
Thomas Duquesne; J. Le Gall
Probability Theory and Related Fields | 2005
Thomas Duquesne; Jean-François Le Gall
Probability Theory and Related Fields | 2007
Thomas Duquesne; Matthias Winkel
Archive | 2005
Thomas Duquesne; Matthias Winkel
arXiv: Probability | 2006
Thomas Duquesne
arXiv: Probability | 2006
Thomas Duquesne
Stochastic Processes and their Applications | 2012
Thomas Duquesne
Electronic Communications in Probability | 2009
Thomas Duquesne; Jean-François Le Gall
Stochastic Processes and their Applications | 2018
Thomas Duquesne; Matthias Winkel
