For slightly deformed triangles and for triangles with a small added potential, the L2 Neumann data mass on each side is the side length divided by the triangle area, up to an error of order epsilon.
Toth, and Steve Zelditch
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Neumann Data Mass on Perturbed Triangles
For slightly deformed triangles and for triangles with a small added potential, the L2 Neumann data mass on each side is the side length divided by the triangle area, up to an error of order epsilon.