Zobrazeno 1 - 10
of 95
pro vyhledávání: '"Prevost, Alexis"'
We investigate the bond percolation model on transient weighted graphs ${G}$ induced by the excursion sets of the Gaussian free field on the corresponding metric graph. Under the sole assumption that its sign clusters do not percolate, we derive an e
Externí odkaz:
http://arxiv.org/abs/2405.17417
We consider a class of percolation models where the local occupation variables have long-range correlations decaying as a power law $\sim r^{-a}$ at large distances $r$, for some $0< a< d$ where $d$ is the underlying spatial dimension. For several of
Externí odkaz:
http://arxiv.org/abs/2403.18787
We investigate the bond percolation model on transient weighted graphs ${G}$ induced by the excursion sets of the Gaussian free field on the corresponding metric graph. We assume that balls in ${G}$ have polynomial volume growth with growth exponent
Externí odkaz:
http://arxiv.org/abs/2312.10030
Autor:
Prévost, Alexis
The study of first passage percolation (FPP) for the random interlacements model has been initiated in arXiv:2112.12096, where it is shown that on $\mathbb{Z}^d$, $d\geq 3$, the FPP distance is comparable to the graph distance with high probability.
Externí odkaz:
http://arxiv.org/abs/2309.03880
Let $X$ be a random walk on the torus of side length $N$ in dimension $d\geq 3$ with uniform starting point, and $t_{\text{cov}}$ be the expected value of its cover time, which is the first time that $X$ has visited every vertex of the torus at least
Externí odkaz:
http://arxiv.org/abs/2309.03192
Publikováno v:
Ann. Appl. Probab. 34(3): 2844-2884 (2024)
The study of Gaussian free field level sets on supercritical Galton-Watson trees has been initiated by Ab\"acherli and Sznitman in Ann. Inst. Henri Poincar\'{e} Probab. Stat., 54(1):173--201, 2018. By means of entirely different tools, we continue th
Externí odkaz:
http://arxiv.org/abs/2208.01033
We present a simple method to produce giant lipid pseudo-vesicles (vesicles with an oily cap on the top), trapped in an agarose gel. The method can be implemented using only a regular micropipette and relies on the formation of a water/oil/water doub
Externí odkaz:
http://arxiv.org/abs/2207.06402
Publikováno v:
Electron. J. Probab. 29: 1-54 (2024)
We study percolative properties of excursion processes and the discrete Gaussian free field (dGFF) in the planar unit disk. We consider discrete excursion clouds, defined using random walks as a two-dimensional version of random interlacements, as we
Externí odkaz:
http://arxiv.org/abs/2205.15289
Autor:
Andres, Sebastian, Prévost, Alexis
Publikováno v:
Ann. Appl. Probab. 34.2, 1846-1895 (2024)
We consider first passage percolation (FPP) with passage times generated by a general class of models with long-range correlations on $\mathbb{Z}^d$, $d\geq 2$, including discrete Gaussian free fields, Ginzburg-Landau $\nabla \phi$ interface models o
Externí odkaz:
http://arxiv.org/abs/2112.12096
Autor:
Prévost, Alexis
Publikováno v:
Electronic Journal of Probability 28, 1-43, 2023
For massless vertex-transitive transient graphs, the percolation phase transition for the level sets of the Gaussian free field on the associated continuous cable system is particularly well understood, and in particular the associated critical param
Externí odkaz:
http://arxiv.org/abs/2102.07763