91 citations · 253 across the 6 of their papers we have counts for
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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…
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…
Evolutionary games of condensates in coupled birth-death processes
Johannes Knebel, Markus F. Weber, Torben Krueger +1
Condensation phenomena arise through a collective behaviour of particles. They are observed in both classical and quantum systems, ranging from the formation of traffic jams in mas…