Signal propagation in complex networks
Signal propagation in complex networks drives epidemics, is responsible for information
going viral, promotes trust and facilitates moral behavior in social groups, enables the …
going viral, promotes trust and facilitates moral behavior in social groups, enables the …
Recent advances in percolation theory and its applications
AA Saberi - Physics Reports, 2015 - Elsevier
Percolation is the simplest fundamental model in statistical mechanics that exhibits phase
transitions signaled by the emergence of a giant connected component. Despite its very …
transitions signaled by the emergence of a giant connected component. Despite its very …
Resilience to contagion in financial networks
We derive rigorous asymptotic results for the magnitude of contagion in a large counterparty
network and give an analytical expression for the asymptotic fraction of defaults, in terms of …
network and give an analytical expression for the asymptotic fraction of defaults, in terms of …
Inhomogeneous financial networks and contagious links
We propose a framework for testing the possibility of large cascades in financial networks.
This framework accommodates a variety of specifications for the probabilities of emergence …
This framework accommodates a variety of specifications for the probabilities of emergence …
Rumor spreading: A trigger for proliferation or fading away
AN Zehmakan, S Galam - Chaos: An Interdisciplinary Journal of …, 2020 - pubs.aip.org
The dynamics of rumor spreading is investigated using a model with three kinds of agents
who are, respectively, the Seeds, the Agnostics, and the Others. While Seeds are the ones …
who are, respectively, the Seeds, the Agnostics, and the Others. While Seeds are the ones …
Bootstrap percolation on spatial networks
Bootstrap percolation is a general representation of some networked activation process,
which has found applications in explaining many important social phenomena, such as the …
which has found applications in explaining many important social phenomena, such as the …
Majority opinion diffusion in social networks: An adversarial approach
AN Zehmakan - Proceedings of the AAAI Conference on Artificial …, 2021 - ojs.aaai.org
We introduce and study a novel majority based opinion diffusion model. Consider a graph G,
which represents a social network. Assume that initially a subset of nodes, called seed …
which represents a social network. Assume that initially a subset of nodes, called seed …
Social network de-anonymization under scale-free user relations
CF Chiasserini, M Garetto… - IEEE/ACM transactions …, 2016 - ieeexplore.ieee.org
We tackle the problem of user de-anonymization in social networks characterized by scale-
free relationships between users. The network is modeled as a graph capturing the impact of …
free relationships between users. The network is modeled as a graph capturing the impact of …
Bootstrap percolation on geometric inhomogeneous random graphs
C Koch, J Lengler - arXiv preprint arXiv:1603.02057, 2016 - arxiv.org
Geometric inhomogeneous random graphs (GIRGs) are a model for scale-free networks with
underlying geometry. We study bootstrap percolation on these graphs, which is a process …
underlying geometry. We study bootstrap percolation on these graphs, which is a process …
Bootstrap percolation in inhomogeneous random graphs
BOOTSTRAP PERCOLATION IN INHOMOGENEOUS RANDOM GRAPHS Page 1 Adv. Appl.
Probab. 1–49 (2023) doi:10.1017/apr.2023.21 BOOTSTRAP PERCOLATION IN …
Probab. 1–49 (2023) doi:10.1017/apr.2023.21 BOOTSTRAP PERCOLATION IN …