23 citations · 51 across the 10 of their papers we have counts for
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math.SP2016★ 18 cited
Exit Time Moments and Eigenvalue Estimates
Emily B. Dryden, Jeffrey J. Langford, Patrick McDonald
We study estimates involving the principal Dirichlet eigenvalue associated to a smoothly bounded domain in a complete Riemannian manifold and L1-norms of exit time moments of Brown…
math.SP2016★ 5 cited
Torsional Rigidity, Isospectrality and Quantum Graphs
Don Colladay, Leon Kaganovskiy, Patrick McDonald
We study torsional rigidity for graph and quantum graph analogs of well-known pairs of isospectral non-isometric planar domains. We prove that such isospectral pairs are distinguis…
math.SP2016
Heat content determines planar triangles
Reed Meyerson, Patrick McDonald
We prove that heat content determines planar triangles.