91 citations · 253 across the 6 of their papers we have counts for
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cond-mat.stat-mech2018★ 17 cited
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…
math-ph2018★ 1 cited
Mean-field equation for a stochastic many-particle model of quorum-sensing microbial populations
Erwin Frey, Johannes Knebel, Peter Pickl
We prove a mean-field equation for the dynamics of quorum-sensing microbial populations. In the stochastic many-particle process, individuals of a population produce public good mo…