Showing math.PRShow all
3 papers · 1 filter
math.PR2025
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…
math.PR2025
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…
math.PR2023
A local-global principle for nonequilibrium steady states
Jacob Calvert, Dana Randall
The global steady state of a system in thermal equilibrium exponentially favors configurations with lesser energy. This principle is a powerful explanation of self-organization bec…