Empirical records of epidemics reveal that fluctuations are important factors for the spread
and prevalence of infectious diseases. The exact manner in which fluctuations affect …

The simultaneous emergence of several abrupt disease outbreaks or the extinction of some
serotypes of multistrain diseases are fingerprints of the interaction between pathogens …

We study the rare fluctuations or large deviations of time-integrated functionals or
observables of an unbiased random walk evolving on Erdös-Rényi random graphs, and …

Epidemic extinction in a simplicial susceptible-infected-susceptible model - IOPscience This
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Numerous problems of both theoretical and practical interest are related to finding shortest
(or otherwise optimal) paths in networks, frequently in the presence of some obstacles or …

We study rare phase slips due to noise in synchronized Kuramoto oscillator networks. In the
small-noise limit, we demonstrate that slips occur via large fluctuations to saddle phase …

The presence of erratic or unstable paths in standard kinetic Monte Carlo simulations
significantly undermines the accurate simulation and sampling of transition pathways. While …

We provide a general framework for analyzing degree correlations between nodes
separated by more than one step (ie, beyond nearest neighbors) in complex networks. One …

We investigate the expected time to extinction in the susceptible-infectious-susceptible
model of disease spreading. Rather than using stochastic simulations, or asymptotic …

During an epidemic, individual nodes in a network may adapt their connections to reduce
the chance of infection. A common form of adaption is avoidance rewiring, where a …