4 papers
Counting weighted maximal chains in the circular Bruhat order
Gopal Goel, Olivia McGough, David Perkinson
The totally nonnegative Grassmannian is the subset of the real Grassmannian consisting of points with all nonnegative Plücker coordina…
A Quantized Analogue of the Markov-Krein Correspondence
Gopal Goel, Andrew Yao
We study a family of measures originating from the signatures of the irreducible components of representations of the unitary group, as the size of the group goes to infinity. Give…
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.
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…