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math.PR2020
Singularity of random symmetric matrices revisited
Marcelo Campos, Matthew Jenssen, Marcus Michelen +1
Let be drawn uniformly from all symmetric matrices. We show that the probability that is singular is at most , which repre…
math.PR2020
Finite-size scaling, phase coexistence, and algorithms for the random cluster model on random graphs
Tyler Helmuth, Matthew Jenssen, Will Perkins
For and large as a function of , we give a detailed picture of the phase transition of the random cluster model on random -regular graphs. In particular, we dete…