4 papers · 1 filter
How many more is different?
Jacob Calvert, Andréa W. Richa, Dana Randall
From the formation of ice in small clusters of water molecules to the mass raids of army ant colonies, the emergent behavior of collectives depends critically on their size. At the…
Local-global correlations of dynamics on disordered energy landscapes
Jacob Calvert, Dana Randall
The stationary distribution of a continuous-time Markov chain generally arises from a complicated global balance of probability fluxes. Nevertheless, empirical evidence shows that…
Correlation thresholds in the steady states of particle systems and spin glasses
Jacob Calvert, Dana Randall
A growing body of theoretical and empirical evidence shows that the global steady-state distributions of many equilibrium and nonequilibrium systems approximately satisfy an analog…
On the principal eigenvectors of random Markov matrices
Jacob Calvert, Frank den Hollander, Dana Randall
We analyze the invariant distributions of continuous-time and discrete-time random walks on randomly weighted complete digraphs. These distributions correspond to the principal lef…