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math.PR2025
An explicit link between graphical models and Gaussian Markov random fields on metric graphs
David Bolin, Alexandre B. Simas, Jonas Wallin
We derive an explicit link between Gaussian Markov random fields on metric graphs and graphical models, and in particular show that a Markov random field restricted to the vertices…
math.PR2024
Markov properties of Gaussian random fields on compact metric graphs
David Bolin, Alexandre B. Simas, Jonas Wallin
There has recently been much interest in Gaussian fields on linear networks and, more generally, on compact metric graphs. One proposed strategy for defining such fields on a metri…