Displaying similar documents to “Dislocation measure of the fragmentation of a general Lévy tree”

Dislocation measure of the fragmentation of a general Lévy tree

Guillaume Voisin (2011)

ESAIM: Probability and Statistics

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Given a general critical or sub-critical branching mechanism and its associated Lévy continuum random tree, we consider a pruning procedure on this tree using a Poisson snake. It defines a fragmentation process on the tree. We compute the family of dislocation measures associated with this fragmentation. This work generalizes the work made for a Brownian tree [R. Abraham and L. Serlet, 7 (2002) 1–15] and for a tree without Brownian part [R. Abraham and J.-F. Delmas, 141 (2008) 113–154]. ...

On Critical exponents in fixed points of -uniform binary morphisms

Dalia Krieger (2007)

RAIRO - Theoretical Informatics and Applications

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Let be an infinite fixed point of a binary -uniform morphism , and let be the critical exponent of . We give necessary and sufficient conditions for to be bounded, and an explicit formula to compute it when it is. In particular, we show that is always rational. We also sketch an extension of our method to non-uniform morphisms over general alphabets.

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

Kouji Yano (2011)

ESAIM: Probability and Statistics

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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. ...

Large deviations for directed percolation on a thin rectangle

Jean-Paul Ibrahim (2012)

ESAIM: Probability and Statistics

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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, ...

Coproducts of Ideal Monads

Neil Ghani, Tarmo Uustalu (2010)

RAIRO - Theoretical Informatics and Applications

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The question of how to combine monads arises naturally in many areas with much recent interest focusing on the coproduct of two monads. In general, the coproduct of arbitrary monads does not always exist. Although a rather general construction was given by Kelly  [ (1980) 1–83], its generality is reflected in its complexity which limits the applicability of this construction. Following our own research [C. Lüth and N. Ghani, (2002) 18–32], and...