3 papers
cond-mat.stat-mech2020
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…
physics.bio-ph2019
Stochastic Yield Catastrophes and Robustness in Self-Assembly
Florian M. Gartner, Isabella R. Graf, Patrick Wilke +2
A guiding principle in self-assembly is that, for high production yield, nucleation of structures must be significantly slower than their growth. However, details of the mechanism…
cond-mat.stat-mech2018
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…