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pro vyhledávání: '"Ungaretti, Daniel"'
This note was motivated by natural questions related to oriented percolation on a layered environment that introduces long range dependence. As a convenient tool, we are led to deal with questions on the strict decrease of the percolation parameter i
Externí odkaz:
http://arxiv.org/abs/2405.21026
Autor:
Coelho, Luis G., Franco, Tertuliano, Lima, Lael V., de Paula, João P. C., Pimenta, João V. A., Silva, Guilherme L. F., Ungaretti, Daniel
Intransive dice $D^{(1)}, \ldots, D^{(\ell)}$ are dice such that $D^{(1)}$ has advantage with respect to $D^{(2)}$, dice $D^{(2)}$ has advantage with respect to $D^{(3)}$ and so on, up to $D^{(\ell)}$, which has advantage over $D^{(1)}$. In this twof
Externí odkaz:
http://arxiv.org/abs/2310.17083
We analyze variants of the contact process that are built by modifying the percolative structure given by the graphical construction and develop a robust renormalization argument for proving extinction in such models. With this method, we obtain resu
Externí odkaz:
http://arxiv.org/abs/2108.03219
Autor:
Hilário, Marcelo, Ungaretti, Daniel
The ellipses model is a continuum percolation process in which ellipses with random orientation and eccentricity are placed in the plane according to a Poisson point process. A parameter $\alpha$ controls the tail distribution of the major axis' dist
Externí odkaz:
http://arxiv.org/abs/2103.09786
We refine previous results concerning the Renewal Contact Processes. We significantly widen the family of distributions for the interarrival times for which the critical value can be shown to be strictly positive. The result now holds for any dimensi
Externí odkaz:
http://arxiv.org/abs/2101.06207
Autor:
Hilário, Marcelo, Ungaretti, Daniel
We study the independent alignment percolation model on $\mathbb{Z}^d$ introduced by Beaton, Grimmett and Holmes [arXiv:1908.07203]. It is a model for random intersecting line segments defined as follows. First the sites of $\mathbb{Z}^d$ are indepen
Externí odkaz:
http://arxiv.org/abs/2007.00539
Publikováno v:
Electron. J. Probab. 25 (2020), paper no. 52, 23 pp
We consider the two-dimensional simple random walk conditioned on never hitting the origin, which is,formally speaking, the Doob's $h$-transform of the simple random walk with respect to the potential kernel. We then study the behavior of the future
Externí odkaz:
http://arxiv.org/abs/1910.13517
Publikováno v:
In Stochastic Processes and their Applications July 2023 161:102-136
Autor:
Teixeira, Augusto, Ungaretti, Daniel
We define a continuum percolation model that provides a collection of random ellipses on the plane and study the behavior of the covered set and the vacant set, the one obtained by removing all ellipses. Our model generalizes a construction that appe
Externí odkaz:
http://arxiv.org/abs/1605.07598
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