Asymptotic Shape of Subadditive Processes on Groups and on Random Geometric Graphs
LR de Lima - arXiv preprint arXiv:2408.11615, 2024 - arxiv.org
This doctoral thesis undertakes an in-depth exploration of limiting shape theorems across
diverse mathematical structures, with a specific focus on subadditive processes within …
diverse mathematical structures, with a specific focus on subadditive processes within …
First passage percolation on Erd\H {o} sR\'{e} nyi graphs with general weights
We consider first passage percolation on the Erd\H {o} sR\'{e} nyi graph with $ n $ vertices in
which each pair of distinct vertices is connected independently by an edge with probability …
which each pair of distinct vertices is connected independently by an edge with probability …
Long-range competition on the torus
B Lodewijks, N Maitra - arXiv preprint arXiv:2403.05536, 2024 - arxiv.org
We study a competition between two growth models with long-range correlations on the
torus $\mathbb T_n^ d $ of size $ n $ in dimension $ d $. We append the edge set of the …
torus $\mathbb T_n^ d $ of size $ n $ in dimension $ d $. We append the edge set of the …
Chase–escape in dynamic device-to-device networks
We feature results on global survival and extinction of an infection in a multi-layer network of
mobile agents. Expanding on a model first presented in Cali et al.(2022), we consider an …
mobile agents. Expanding on a model first presented in Cali et al.(2022), we consider an …
Coexistence of Species in a Competition Model on Random Geometric Graphs
CF Coletti, LR de Lima - arXiv preprint arXiv:2501.10611, 2025 - arxiv.org
This paper investigates the coexistence of two competing species on random geometric
graphs (RGGs) in continuous time. The species grow by occupying vacant sites according to …
graphs (RGGs) in continuous time. The species grow by occupying vacant sites according to …
Speed of Convergence and Moderate Deviations of FPP on Random Geometric Graphs
LR de Lima, D Valesin - arXiv preprint arXiv:2411.02046, 2024 - arxiv.org
This study delves into first-passage percolation (FPP) on random geometric graphs (RGGs)
in the supercritical regime, where RGGs feature a unique infinite connected component. We …
in the supercritical regime, where RGGs feature a unique infinite connected component. We …
[PDF][PDF] Structural properties and competition on random graphs with underlying geometry
N Maitra - 2024 - research.tue.nl
Mathematically formulating and analyzing aspects of real-world phenomena is challenging.
many attempts have been made and are being made regularly to provide us clarity …
many attempts have been made and are being made regularly to provide us clarity …
[图书][B] Chase-escape in dynamic device-to-device networks
The present paper features results on global survival and extinction of an infection in a
multilayer network of mobile agents. Expanding on a model first presented in [CHJW22], we …
multilayer network of mobile agents. Expanding on a model first presented in [CHJW22], we …
[PDF][PDF] Chase-escape in dynamic device-to-device networks
JP Wary - academia.edu
The present paper features results on global survival and extinction of an infection in a multi-
layer network of mobile agents. Expanding on a model first presented in [CHJW22], we …
layer network of mobile agents. Expanding on a model first presented in [CHJW22], we …
[PDF][PDF] 1.1 Probabilistic Methods for Communication Systems
A Hinsen, B Jahnel - wias-berlin.de
The steadily increasing demand for fast and reliable data exchange in communications
systems presents network operators worldwide with major challenges, but also …
systems presents network operators worldwide with major challenges, but also …