activity
20182026
most citedThe contact process on random hyperbolic graphs: metastability and critical exponents

7 citations · 17 across the 9 of their papers we have counts for

collaborators

9 papers

math.PR2026

On the depth of depth-weighted trees

Lyuben Lichev, Amitai Linker, Bas Lodewijks +1

The depth-weighted tree DWT() with weight function is a dynamic random tree grown from a root where vertices arrive consecutively and ever…

math.PR2025

Crossing probabilities in geometric inhomogeneous random graphs

Emmanuel Jacob, Céline Kerriou, Amitai Linker +1

In a geometric inhomogeneous random graph vertices are given by the points of a Poisson process and are equipped with independent weights following a heavy tailed distribution. Any…

math.PR2024★ 3 cited

Metastability of the contact process on slowly evolving scale-free networks

Emmanuel Jacob, Amitai Linker, Peter Mörters

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 p…

math.PR2022★ 1 cited

The contact process on dynamical scale-free networks

Emmanuel Jacob, Amitai Linker, Peter Mörters

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 updat…

math.PR2022

Tail bounds for detection times in mobile hyperbolic graphs

Marcos Kiwi, Amitai Linker, Dieter Mitsche

Motivated by Krioukov et al.'s model of random hyperbolic graphs for real-world networks, and inspired by the analysis of a dynamic model of graphs in Euclidean space by Peres et a…

math.PR2020★ 7 cited

The contact process on random hyperbolic graphs: metastability and critical exponents

Amitai Linker, Dieter Mitsche, Bruno Schapira +1

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 (so that the degree…

math.PR2019★ 6 cited

The contact process with dynamic edges on

Amitai Linker, Daniel Remenik

We study the contact process running in the one-dimensional lattice undergoing dynamical percolation, where edges open at rate and close at rate . Our goal is to explo…

math.PR2018

Coexistence for a population model with forest fire epidemics

Luis Fredes, Amitai Linker, Daniel Remenik

We investigate the effect on survival and coexistence of introducing forest fire epidemics to a certain two-species competition model. The model is an extension of the one introduc…

math.PR2018

Metastability of the contact process on fast evolving scale-free networks

Emmanuel Jacob, Amitai Linker, Peter Mörters

We study the contact process in the regime of small infection rates on finite scale-free networks with stationary dynamics based on simultaneous updating of all connections of a ve…