The contact process on dynamical scale-free networks
E Jacob, A Linker, P Mörters - arXiv preprint arXiv:2206.01073, 2022 - arxiv.org
We investigate the contact process on four different types of scale-free inhomogeneous
random graphs evolving according to a stationary dynamics, where each potential edge is …
random graphs evolving according to a stationary dynamics, where each potential edge is …
[HTML][HTML] The contact process on scale-free geometric random graphs
P Gracar, A Grauer - Stochastic Processes and their Applications, 2024 - Elsevier
We study the contact process on a class of geometric random graphs with scale-free degree
distribution, defined on a Poisson point process on R d. This class includes the age …
distribution, defined on a Poisson point process on R d. This class includes the age …
Percolation by cumulative merging and phase transition for the contact process on random graphs
L Ménard, A Singh - arXiv preprint arXiv:1502.06982, 2015 - arxiv.org
Given a weighted graph, we introduce a partition of its vertex set such that the distance
between any two clusters is bounded from below by a power of the minimum weight of both …
between any two clusters is bounded from below by a power of the minimum weight of both …
The contact process on random hyperbolic graphs: metastability and critical exponents
A Linker, D Mitsche, B Schapira, D Valesin - 2021 - projecteuclid.org
We consider the contact process on the model of hyperbolic random graph, in the regime
when the degree distribution obeys a power law with exponent χ∈(1, 2)(so that the degree …
when the degree distribution obeys a power law with exponent χ∈(1, 2)(so that the degree …
Degree-penalized contact processes
We study degree-penalized contact processes on Galton-Watson trees (GW) and the
configuration model. The model we consider is a modification of the usual contact process …
configuration model. The model we consider is a modification of the usual contact process …
Metastability of the contact process on slowly evolving scale-free networks
E Jacob, A Linker, P Mörters - arXiv preprint arXiv:2407.04654, 2024 - arxiv.org
We investigate the contact process on scale-free networks evolving by a stationary dynamics
whereby each vertex independently updates its connections with a rate depending on its …
whereby each vertex independently updates its connections with a rate depending on its …
[图书][B] Stochastic interacting systems in life and social sciences
N Lanchier - 2024 - books.google.com
This volume provides an overview of two of the most important examples of interacting
particle systems, the contact process, and the voter model, as well as their many variants …
particle systems, the contact process, and the voter model, as well as their many variants …
Extinction time for the contact process on general graphs
B Schapira, D Valesin - Probability Theory and Related Fields, 2017 - Springer
We consider the contact process on finite and connected graphs and study the behavior of
the extinction time, that is, the amount of time that it takes for the infection to disappear in the …
the extinction time, that is, the amount of time that it takes for the infection to disappear in the …
Distance evolutions in growing preferential attachment graphs
J Jorritsma, J Komjáthy - The Annals of Applied Probability, 2022 - projecteuclid.org
We study the evolution of the graph distance and weighted distance between two fixed
vertices in dynamically growing random graph models. More precisely, we consider …
vertices in dynamically growing random graph models. More precisely, we consider …
Metastability for the contact process on the configuration model with infinite mean degree
VH Can, B Schapira - arXiv preprint arXiv:1410.3061, 2014 - arxiv.org
We study the contact process on the configuration model with a power law degree
distribution, when the exponent is smaller than or equal to two. We prove that the extinction …
distribution, when the exponent is smaller than or equal to two. We prove that the extinction …