activity
20182022
most citedPhase transitions for chase-escape models on Gilbert graphs

3 citations · 10 across the 6 of their papers we have counts for

collaborators

7 papers

math.PR2022

Chase-escape in dynamic device-to-device networks

Elie Cali, Alexander Hinsen, Benedikt Jahnel +1

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…

math.PR2022

Connectivity in mobile device-to-device networks in urban environments

Elie Cali, Alexander Hinsen, Benedikt Jahnel +1

In this article we setup a dynamic device-to-device communication system where devices, given as a Poisson point process, move in an environment, given by a street system of random…

cs.NI2022★ 3 cited

Agent-based modeling and simulation for malware spreading in D2D networks

Ziyad Benomar, Chaima Ghribi, Elie Cali +2

This paper presents a new multi-agent model for simulating malware propagation in device-to-device (D2D) 5G networks. This model allows to understand and analyze mobile malware-spr…

math.PR2021★ 2 cited

Limiting shape for First-Passage Percolation models on Random Geometric Graphs

Cristian F. Coletti, Lucas R. de Lima, Alexander Hinsen +2

Let a random geometric graph be defined in the supercritical regime for the existence of a unique infinite connected component in Euclidean space. Consider the first-passage percol…

cs.NI2020

Malware propagation in urban D2D networks

Alexander Hinsen, Benedikt Jahnel, Elie Cali +1

We introduce and analyze models for the propagation of malware in pure D2D networks given via stationary Cox-Gilbert graphs. Here, the devices form a Poisson point process with ran…

math.PR2019★ 3 cited

Phase transitions for chase-escape models on Gilbert graphs

Alexander Hinsen, Benedikt Jahnel, Elie Cali +1

We present results on phase transitions of local and global survival in a two-species model on Gilbert graphs. At initial time there is an infection at the origin that propagates o…

cs.NI2018★ 2 cited

The typical cell in anisotropic tessellations

Alexander Hinsen, Christian Hirsch, Benedikt Jahnel +1

The typical cell is a key concept for stochastic-geometry based modeling in communication networks, as it provides a rigorous framework for describing properties of a serving zone…