M. Shcherbina

activity

20012022

most citedCentral Limit Theorem for linear eigenvalue statistics of the Wigner and sample covariance random matrices

117 citations · 544 across the 23 of their papers we have counts for

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Showing 2012 · math-phShow all

2 papers · 2 filters

math-ph2012★ 82 cited

Fluctuations of linear eigenvalue statistics of $β$ matrix models in the multi-cut regime

Mariya Shcherbina

We study the asymptotic expansion in $n$ for the partition function of $β$ matrix models with real analytic potentials in the multi-cut regime up to the $O (n^{- 1})$ terms. As a res…

math-ph2012★ 2 cited

Quantum Hopfield Model

Masha Shcherbina, Brunello Tirozzi

We find the free-energy in the thermodynamic limit of a one dimensional XY model associated to a system of N qubits. The coupling among the sigma_i^z is a long range two bodies ran…

Fluctuations of linear eigenvalue statistics of β matrix models in the multi-cut regime

Quantum Hopfield Model

Fluctuations of linear eigenvalue statistics of $β$ matrix models in the multi-cut regime