R. Marino

activity

20132020

most citedPhase transitions and edge scaling of number variance in Gaussian random matrices

88 citations · 174 across the 5 of their papers we have counts for

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3 papers · 1 filter

cond-mat.stat-mech2016★ 46 cited

Number statistics for $β$ -ensembles of random matrices: applications to trapped fermions at zero temperature

Ricardo Marino, Satya N. Majumdar, Gregory Schehr +1

Let $P_{β}^{(V)} (N_{I})$ be the probability that a $N \times N$ $β$ -ensemble of random matrices with confining potential $V (x)$ has $N_{I}$ eigenvalues inside an…

cond-mat.stat-mech2014★ 88 cited

Phase transitions and edge scaling of number variance in Gaussian random matrices

Ricardo Marino, Satya N. Majumdar, Grégory Schehr +1

We consider $N \times N$ Gaussian random matrices, whose average density of eigenvalues has the Wigner semi-circle form over $[- 2, 2]$ . For such matrices, using a Coulo…

cond-mat.stat-mech2013★ 26 cited

Index Distribution of Cauchy Random Matrices

Ricardo Marino, Satya N. Majumdar, Grégory Schehr +1

Using a Coulomb gas technique, we compute analytically the probability $P_{β}^{(C)} (N_{+}, N)$ that a large $N \times N$ Cauchy random matrix has $N_{+}$ positive eigenvalues, wh…

Number statistics for β-ensembles of random matrices: applications to trapped fermions at zero temperature

Phase transitions and edge scaling of number variance in Gaussian random matrices

Index Distribution of Cauchy Random Matrices

Number statistics for $β$ -ensembles of random matrices: applications to trapped fermions at zero temperature