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math.MG2016★ 2 cited
Local Hausdorff Measure
John Dever
A local Hausdorff dimension is defined on a metric space. We study its properties and use it to define a local Hausdorff measure. We show that in the case that in the local Hausdor…
math.SP2016
Eigenvalue Sums of Combinatorial Magnetic Laplacians on Finite Graphs
John Dever
We give a construction of a class of magnetic Laplacian operators on finite directed graphs. We study some general combinatorial and algebraic properties of operators in this class…