4 papers · 1 filter
The mean field stubborn voter model
Lisa Hartung, Christian Mönch
We analyse the effect of agent-dependent heavy-tailed waiting times in the voter model on the complete graph with vertices. We derive a novel scaling limit and show the existen…
Fisher-Hartwig asymptotics for non-Hermitian random matrices
Paul Bourgade, Guillaume Dubach, Lisa Hartung +1
We prove the two-dimensional analogue of the asymptotics for Toeplitz determinants with Fisher-Hartwig singularities, for general real symbols. This formula has applications to ran…
Extremes of the zero-average Gaussian Free Field on random regular graphs
Lisa Hartung, Andreas Klippel, Christian Mönch
We study the extreme value statistics of the zero-average Gaussian free field (GFF) on random -regular graphs and the Gaussian free field on -regular trees. For random -re…
A Random Walk Approach to Broadcasting on Random Recursive Trees
Ernst Althaus, Lisa Hartung, Rebecca Steiner
In the broadcasting problem on trees, a -message originating in an unknown node is passed along the tree with a certain error probability . The goal is to estimate the…