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math.CO2018
Critical groups of iterated cones
Gopal Goel, David Perkinson
Let G be a finite graph, and let G_n be the n-th iterated cone over G. We study the structure of the critical group of G_n arising in divisor and sandpile theory.
math.PR2018
Discrete Derivative Asymptotics of the -Hermite Eigenvalues
Gopal Goel, Andrew Ahn
We consider the asymptotics of the difference between the empirical measures of the -Hermite tridiagonal matrix and its minor. We prove that this difference has a deterministic…