49 citations · 122 across the 17 of their papers we have counts for
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math.DS2021★ 11 cited
Pattern Formation in Random Networks Using Graphons
Jason Bramburger, Matt Holzer
We study Turing bifurcations on one-dimensional random ring networks where the probability of a connection between two nodes depends on the distance between the two nodes. Our appr…
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.AP2021
Asymptotic spreading for Fisher-KPP reaction-diffusion equations with heterogeneous shifting diffusivity
Grégory Faye, Thomas Giletti, Matt Holzer
We determine the asymptotic spreading speed of the solutions of a Fisher-KPP reaction-diffusion equation, starting from compactly supported initial data, when the diffusion coeffic…