Skip to Main content Skip to Navigation
Journal articles

Universality in survivor distributions: Characterising the winners of competitive dynamics

Abstract : We investigate the survivor distributions of a spatially extended model of competitive dynamics in different geometries. The model consists of a deterministic dynamical system of individual agents at specified nodes, which might or might not survive the predatory dynamics: all stochasticity is brought in by the initial state. Every such initial state leads to a unique and extended pattern of survivors and non-survivors, which is known as an attractor of the dynamics. We show that the number of such attractors grows exponentially with system size, so that their exact characterisation is limited to only very small systems. Given this, we construct an analytical approach based on inhomogeneous mean-field theory to calculate survival probabilities for arbitrary networks. This powerful (albeit approximate) approach shows how universality arises in survivor distributions via a key concept -- the {\it dynamical fugacity}. Remarkably, in the large-mass limit, the survival probability of a node becomes independent of network geometry, and assumes a simple form which depends only on its mass and degree.
Complete list of metadata

Cited literature [25 references]  Display  Hide  Download
Contributor : Emmanuelle de Laborderie <>
Submitted on : Tuesday, March 7, 2017 - 4:05:46 PM
Last modification on : Wednesday, April 14, 2021 - 12:12:16 PM
Long-term archiving on: : Thursday, June 8, 2017 - 2:13:38 PM


Files produced by the author(s)



J. M. Luck, A. Mehta. Universality in survivor distributions: Characterising the winners of competitive dynamics. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2015, 92 (5), ⟨10.1103/PhysRevE.92.052810⟩. ⟨cea-01484719⟩



Record views


Files downloads