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We study the threshold Î¸ bootstrap percolation model on the homogeneous tree with degree b+ 1, 2 â‰¤ Î¸ â‰¤ b, and initial density p. It is known that there exists a nontrivial critical value for p, which we call pf , such that a) for p > pf , the final bootstrapped configuration is fully occupied for almost every initial configuration, and b) if p < pf , thenâ€¦ (More)

- L. R. G. Fontes
- 2002

We study K-processes, which are Markov processes in a denumer-able state space, all of whose elements are stable, with the exception of a single state, starting from which the process enters finite sets of stable states with uniform distribution. We show how these processes arise, in a particular instance, as scaling limits of the trap model in the completeâ€¦ (More)

We consider the one dimensional nearest neighbors asymmetric simple exclusion process with rates q and p for left and right jumps respectively; q < p. Ferrari et al. (1991) have shown that if the initial measure is vp, 4, a product measure with densities p and 2 to the left and right of the origin respectively, p < 2, then there exists a (microscopic) shockâ€¦ (More)

1 Laboratoire de Physique ThÃ©orique et ModÃ©lisation (CNRS-ESA8089), UniversitÃ© de CergyPontoise, 95031 Cergy-Pontoise, France; e-mail: dunlop@ptm.u-cergy.fr; http://www.u-cergy. fr/rech/labo/equipes/ptm/Dunlop. 2 IMEâ€“USP, Caixa Postal 66281, 05311-970 SÃ£o Paulo, Brazil; e-mail: pablo@ime.usp.br, lrenato@ime.usp.br; http://www.ime.usp.br/~ pablo,â€¦ (More)

We consider the one dimensional nearest neighbors asymmetric simple exclusion process with rates q and p for left and right jumps respectively; q < p. Ferrari, Kipnis and Saada (1991) have shown that if the initial measure is ;; , a product measure with densities and to the left and right of the origin respectively, < , then there exists a (microscopic)â€¦ (More)

We consider a process of two classes of particles jumping on a one dimensional lattice. The marginal system of the rst class of particles is the one dimensional totally asymmetric simple exclusion process. When classes are disregarded the process is also the totally asymmetric simple exclusion process. The existence of a unique invariant measure withâ€¦ (More)

The harnesses were introduced by Hammersley in [14] to model the long range correlations in the crystalline structures. The serial harness describes the evolution of a hypersurface of dimension d embedded in a d 1 -dimensional space. At each site i d at time n 0 we have the variable Yn i which denotes the height of a random surface at site i. The initialâ€¦ (More)

- Isabel MarcÃ£o, Pamela Fonseca, +5 authors LÃgia Miranda Ferreira Borges
- Revista portuguesa de cardiologia : orgao oficialâ€¦
- 2001

A case of angiosarcoma of the right atrium in a 59-year-old woman is reported, presenting as a recurrent hematic pericardial effusion. The usefulness of echocardiography in making the diagnosis is emphasized. The tumor was already disseminated at the time of the diagnosis. The patient was on palliative therapy, dying a few months later. The histologicalâ€¦ (More)

- M M Berger, L. R. G. Fontes
- Journal de radiologie, d'electrologie & archivesâ€¦
- 1950