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20122023
most citedOptimal local law and central limit theorem for -ensembles

35 citations · 62 across the 5 of their papers we have counts for

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math.PR2023

The log-Characteristic Polynomial of Generalized Wigner Matrices is Log-Correlated

Krishnan Mody

We prove that in the limit of large dimension, the distribution of the logarithm of the characteristic polynomial of a generalized Wigner matrix converges to a log-correlated field…

math.PR2021★ 35 cited

Optimal local law and central limit theorem for -ensembles

Paul Bourgade, Krishnan Mody, Michel Pain

In the setting of generic -ensembles, we use the loop equation hierarchy to prove a local law with optimal error up to a constant, valid on any scale including microscopic. This…

math.PR2018

Gaussian fluctuations of the determinant of Wigner Matrices

Paul Bourgade, Krishnan Mody

We prove that the logarithm of the determinant of a Wigner matrix satisfies a central limit theorem in the limit of large dimension. Previous results about fluctuations of such det…