3 papers
q-bio.PE2021
Epidemic spreading on complex networks as front propagation into an unstable state
Ashley Armbruster, Matt Holzer, Noah Roselli +1
We study epidemic arrival times in meta-population disease models through the lens of front propagation into unstable states. We demonstrate that several features of invasion front…
math.CO2021
On proportional network connectivity
Ashley Armbruster, Jieqi Di, Nicholas Hanson +1
The reliability of a network is an important parameter to consider when building a network. Different characteristics of the network can become unreliable over time or from other o…
math.NT2020
On binomial coefficients associated with Sierpiński and Riesel numbers
Ashley Armbruster, Grace Barger, Sofya Bykova +5
In this paper, we investigate the existence of Sierpiński numbers and Riesel numbers as binomial coefficients. We show that for any odd positive integer , there exist infinitely…