775 citations · 11.2k across the 208 of their papers we have counts for
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Anomalous Collective Dynamics of Auto-Chemotactic Populations
Jasper van der Kolk, Florian Rasshofer, Richard Swiderski +3
While the role of local interactions in nonequilibrium phase transitions is well studied, a fundamental understanding of the effects of long-range interactions is lacking. We study…
Subdiffusive Activity Spreading in the Diffusive Epidemic Process
Borislav Polovnikov, Patrick Wilke, Erwin Frey
The diffusive epidemic process is a paradigmatic example of an absorbing state phase transition in which healthy and infected individuals spread with different diffusion constants.…
Topological phase transition in coupled rock-paper-scissor cycles
Johannes Knebel, Philipp M. Geiger, Erwin Frey
A hallmark of topological phases is the occurrence of topologically protected modes at the system`s boundary. Here we find topological phases in the antisymmetric Lotka-Volterra eq…
Two-species active transport along cylindrical biofilaments is limited by emergent topological hindrance
Patrick Wilke, Emanuel Reithmann, Erwin Frey
Active motion of molecules along filamentous structures is a crucial feature of cell biology and is often modeled with the paradigmatic asymmetric simple exclusion process. Motivat…
Topologically robust zero-sum games and Pfaffian orientation -- How network topology determines the long-time dynamics of the antisymmetric Lotka-Volterra equation
Philipp M. Geiger, Johannes Knebel, Erwin Frey
To explore how the topology of interaction networks determines the robustness of dynamical systems, we study the antisymmetric Lotka-Volterra equation (ALVE). The ALVE is the repli…
Master equations and the theory of stochastic path integrals
Markus F. Weber, Erwin Frey
This review provides a pedagogic and self-contained introduction to master equations and to their representation by path integrals. We discuss analytical and numerical methods for…