5 citations · 8 across the 3 of their papers we have counts for
3 papers
cond-mat.stat-mech2026
Fixed points of Boolean networks with sparse connections
Stav Marcus, Ari M. Turner, Guy Bunin +1
We study fixed points of cellular automata with sites on random sparse graphs. In the large limit such models are known to exhibit phase transitions, from a ``frozen'' phas…
cond-mat.stat-mech2012★ 5 cited
Extrema statistics in the dynamics of a non-Gaussian random field
T. H. Beuman, A. M. Turner, V. Vitelli
When the equations that govern the dynamics of a random field are nonlinear, the field can develop with time non-Gaussian statistics even if its initial condition is Gaussian. Here…
cond-mat.stat-mech2012★ 3 cited
Umbilical points of a non-Gaussian random field
A. M. Turner, T. H. Beuman, V. Vitelli
Random fields in nature often have, to a good approximation, Gaussian characteristics. For such fields, the relative densities of umbilical points -- topological defects which can…