4.7k citations · 11.7k across the 44 of their papers we have counts for
45 papers
Local and extensive fluctuations in sparsely-interacting ecological communities
Stav Marcus, Ari M Turner, Guy Bunin
Ecological communities with many species can be classified into dynamical phases. In systems with all-to-all interactions, a phase where a fixed point is always reached and a dynam…
Homotopy of periodic two by two matrices
Joseph E. Avron, Ari M. Turner
We describe the homotopy classes of 2 by 2 periodic simple (=non-degenerate) matrices with various symmetries. This turns out to be an elementary exercise in the homotopy of closed…
Generalized Lotka-Volterra equations with random, non-reciprocal interactions: the typical number of equilibria
Valentina Ros, Felix Roy, Giulio Biroli +2
We compute the typical number of equilibria of the Generalized Lotka-Volterra equations describing species-rich ecosystems with random, non-reciprocal interactions using the replic…
Long-range influence of a pump on a critical fluid
Ydan Ben Dor, Yariv Kafri, David Mukamel +1
A pump coupled to a conserved density generates long-range modulations, resulting from the non-equilibrium nature of the dynamics. We study how these modulations are modified at th…
Local and collective transitions in sparsely-interacting ecological communities
Stav Marcus, Ari M. Turner, Guy Bunin
Interactions in natural communities can be highly heterogeneous, with any given species interacting appreciably with only some of the others, a situation commonly represented by sp…
Gapping fragile topological bands by interactions
Ari M. Turner, Erez Berg, Ady Stern
We consider the stability of fragile topological bands protected by space-time inversion symmetry in the presence of strong electron-electron interactions. At the single-particle l…