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math.PR2026
Majority dynamics on sparse random graphs
Gopal Goel, Ashwin Sah
Consider a simple undirected graph on vertices, with each vertex holding an opinion from one of two options. Starting from the initial opinions on day 1, we run majority dy…
math.PR2020★ 1 cited
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…
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…