Spectral Analysis of a Non-Equilibrium Stochastic Dynamics on a General Network.

ABSTRACT: Unravelling underlying complex structures from limited resolution measurements is a known problem arising in many scientific disciplines. We study a stochastic dynamical model with a multiplicative noise. It consists of a stochastic differential equation living on a graph, similar to approaches used in population dynamics or directed polymers in random media. We develop a new tool for approximation of correlation functions based on spectral analysis that does not require translation invariance. This enables us to go beyond lattices and analyse general networks. We show, analytically, that this general model has different phases depending on the topology of the network. One of the main parameters which describe the network topology is the spectral dimension [Formula: see text]. We show that

SUBMITTER: Seroussi I 

PROVIDER: S-EPMC6156338 | biostudies-literature | 2018 Sep

REPOSITORIES: biostudies-literature