Zobrazeno 1 - 10
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pro vyhledávání: '"DELMAS, Jean"'
We consider an infinite-dimension SIS model introduced by Delmas, Dronnier and Zitt, with a more general incidence rate, and study its equilibria. Unsurprisingly, there exists at least one endemic equilibrium if and only if the basic reproduction num
Externí odkaz:
http://arxiv.org/abs/2408.00034
We are interested in the branching capacity of the range of a random walk in $\mathbb Z^d$.Schapira [28] has recently obtained precise asymptotics in the case $d\ge 6$ and has demonstrated a transition at dimension $d=6$. We study the case $d=5$ and
Externí odkaz:
http://arxiv.org/abs/2404.19447
We discuss transformations on matrices that preserve the effective spectrum and/or the effective spectral radius.
Comment: arXiv admin note: text overlap with arXiv:2103.10330
Comment: arXiv admin note: text overlap with arXiv:2103.10330
Externí odkaz:
http://arxiv.org/abs/2406.12857
The branching capacity has been introduced by [Zhu 2016] as the limit of the hitting probability of a symmetric branching random walk in $\mathbb Z^d$, $d\ge 5$. Similarly, we define the Brownian snake capacity in $\mathbb R^d$, as the scaling limit
Externí odkaz:
http://arxiv.org/abs/2402.13735
We introduce probability-graphons which are probability kernels that generalize graphons to the case of weighted graphs. Probability-graphons appear as the limit objects to study sequences of large weighted graphs whose distribution of subgraph sampl
Externí odkaz:
http://arxiv.org/abs/2312.15935
Inspired by Schwartz, Jang-Lewis and Victory, who study in particular generalizations of triangularizations of matrices to operators, we shall give for positive operators on Lebesgue spaces equivalent definitions of atoms (maximal irreducible sets).
Externí odkaz:
http://arxiv.org/abs/2310.15616
Autor:
Delmas, Jean-François, Frasca, Paolo, Garin, Federica, Tran, Viet Chi, Velleret, Aurélien, Zitt, Pierre-André
Publikováno v:
ALEA, Lat. Am. J. Probab. Math. Stat. 21, 1375-1405 (2024)
Starting from a stochastic individual-based description of an SIS epidemic spreading on a random network, we study the dynamics when the size $n$ of the network tends to infinity. We recover in the limit an infinite-dimensional integro-differential e
Externí odkaz:
http://arxiv.org/abs/2302.13385
We consider a model where a signal (discrete or continuous) is observed with an additive Gaussian noise process. The signal is issued from a linear combination of a finite but increasing number of translated features. The features are continuously pa
Externí odkaz:
http://arxiv.org/abs/2212.01169
Motivated by the question of optimal vaccine allocation strategies in heterogeneous population for epidemic models, we study various properties of the \emph{effective reproduction number}. In the simplest case, given a fixed, non-negative matrix $K$,
Externí odkaz:
http://arxiv.org/abs/2211.11862
We consider the simple epidemiological SIS model for a general heterogeneous population introduced by Lajmanovich and Yorke (1976) in finite dimension, and its infinite dimensional generalization we introduced in previous works. In this model the bas
Externí odkaz:
http://arxiv.org/abs/2211.15463