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math.PR2012★ 33 cited
Random curves on surfaces induced from the Laplacian determinant
Adrien Kassel, Richard Kenyon
We define natural probability measures on cycle-rooted spanning forests (CRSFs) on graphs embedded on a surface with a Riemannian metric. These measures arise from the Laplacian de…
math.PR2012★ 7 cited
Random two-component spanning forests
Adrien Kassel, Richard Kenyon, Wei Wu
We study random two-component spanning forests (SFs) of finite graphs, giving formulas for the first and second moments of the sizes of the components, vertex-inclusion probabil…