44 citations · 181 across the 27 of their papers we have counts for
3 papers · 2 filters
Phase transition for a non-attractive infection process in heterogeneous environment
Marinus Gottschau, Markus Heydenreich, Kilian Matzke +1
We consider a non-attractive three state contact process on and prove that there exists a regime of survival as well as a regime of extinction. In more detail, the proc…
Backbone scaling limit of the high-dimensional IIC: extended version
Markus Heydenreich, Remco van der Hofstad, Tim Hulshof +1
We identify the scaling limit of the backbone of the high-dimensional incipient infinite cluster (IIC), both in the finite-range and the long-range setting. In the finite-range set…
Uniformity of hitting times of the contact process
Markus Heydenreich, Christian Hirsch, Daniel Valesin
For the supercritical contact process on the hyper-cubic lattice started from a single infection at the origin and conditioned on survival, we establish two uniformity results for…