activity
20142026
most citedLarge-scale behavior of the partial duplication random graph

14 citations · 31 across the 8 of their papers we have counts for

collaborators

8 papers

math.PR2026

Logarithmic scaling of selective sweep curves: from tents to houses

Florin Boenkost, Felix Hermann, András Tóbiás +1

One of the classical results of mathematical population genetics states that the frequency of a beneficial mutant's offspring, on its way to fixation in a large population, looks l…

math.PR2025

The Offended Voter Model

Raphael Eichhorn, Felix Hermann, Marco Seiler

We study a variant of the voter model on a coevolving network in which interactions of two individuals with differing opinions only lead to an agreement on one of these opinions wi…

math.PR2024★ 1 cited

From clonal interference to Poissonian interacting trajectories

Felix Hermann, Adrián Gonzalez Casanova, Renato Soares dos Santos +2

We consider a population whose size is fixed over the generations, and in which random beneficial mutations arrive at a rate of order per generation. In this so-call…

math.PR2022★ 3 cited

The Contact Process with Switching

Jochen Blath, Felix Hermann, Michel Reitmeier

In this paper, we introduce a type switching mechanism for the Contact Process on the lattice . That is, we allow the individual particles/sites to switch between two…

math.PR2020★ 2 cited

A branching process model for dormancy and seed banks in randomly fluctuating environments

Jochen Blath, Felix Hermann, Martin Slowik

The goal of this article is to contribute towards the conceptual and quantitative understanding of the evolutionary benefits for (microbial) populations to maintain a seed bank (co…

math.PR2019★ 1 cited

The partial duplication random graph with edge deletion

Felix Hermann, Peter Pfaffelhuber

We study a random graph model in continuous time. Each vertex is partially copied with the same rate, i.e.\ an existing vertex is copied and every edge leading to the copied vertex…

math.PR2018★ 10 cited

Markov branching processes with disasters: extinction, survival and duality to p-jump processes

F. Hermann, P. Pfaffelhuber

A -jump process is a piecewise deterministic Markov process with jumps by a factor of . We prove a limit theorem for such processes on the unit interval. Via duality with res…

math.PR2014★ 14 cited

Large-scale behavior of the partial duplication random graph

Felix Hermann, Peter Pfaffelhuber

The following random graph model was introduced for the evolution of protein-protein interaction networks: Let be a sequence of random graph…