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math.PR2020
Stopping explosion by penalising transmission to hubs in scale-free spatial random graphs
Júlia Komjáthy, John Lapinskas, Johannes Lengler
We study the spread of information in finite and infinite inhomogeneous spatial random graphs. We assume that each edge has a transmission cost that is a product of an i.i.d. rando…
math.PR2018
Phase Transitions of the Moran Process and Algorithmic Consequences
Leslie Ann Goldberg, John Lapinskas, David Richerby
The Moran process is a random process that models the spread of genetic mutations through graphs. If the graph is connected, the process eventually reaches "fixation", where every…