Zhigang Bao
Erdoes Group
12 Publications
2021 | Published | Journal Article | IST-REx-ID: 9550 |

Equipartition principle for Wigner matrices
Z. Bao, L. Erdös, K. Schnelli, Forum of Mathematics, Sigma 9 (2021).
[Published Version]
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Z. Bao, L. Erdös, K. Schnelli, Forum of Mathematics, Sigma 9 (2021).
2020 | Published | Journal Article | IST-REx-ID: 9104 |

On the support of the free additive convolution
Z. Bao, L. Erdös, K. Schnelli, Journal d’Analyse Mathematique 142 (2020) 323–348.
[Preprint]
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Z. Bao, L. Erdös, K. Schnelli, Journal d’Analyse Mathematique 142 (2020) 323–348.
2020 | Published | Journal Article | IST-REx-ID: 10862 |

Spectral rigidity for addition of random matrices at the regular edge
Z. Bao, L. Erdös, K. Schnelli, Journal of Functional Analysis 279 (2020).
[Preprint]
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Z. Bao, L. Erdös, K. Schnelli, Journal of Functional Analysis 279 (2020).
2019 | Published | Journal Article | IST-REx-ID: 6511 |

Local single ring theorem on optimal scale
Z. Bao, L. Erdös, K. Schnelli, Annals of Probability 47 (2019) 1270–1334.
[Preprint]
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Z. Bao, L. Erdös, K. Schnelli, Annals of Probability 47 (2019) 1270–1334.
2017 | Published | Journal Article | IST-REx-ID: 1207 |

Local law of addition of random matrices on optimal scale
Z. Bao, L. Erdös, K. Schnelli, Communications in Mathematical Physics 349 (2017) 947–990.
[Published Version]
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| Files available
| DOI
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Z. Bao, L. Erdös, K. Schnelli, Communications in Mathematical Physics 349 (2017) 947–990.
2017 | Published | Journal Article | IST-REx-ID: 1528 |

Delocalization for a class of random block band matrices
Z. Bao, L. Erdös, Probability Theory and Related Fields 167 (2017) 673–776.
[Published Version]
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Z. Bao, L. Erdös, Probability Theory and Related Fields 167 (2017) 673–776.
2017 | Published | Journal Article | IST-REx-ID: 733 |

Convergence rate for spectral distribution of addition of random matrices
Z. Bao, L. Erdös, K. Schnelli, Advances in Mathematics 319 (2017) 251–291.
[Submitted Version]
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| DOI
| Download Submitted Version (ext.)
| WoS
Z. Bao, L. Erdös, K. Schnelli, Advances in Mathematics 319 (2017) 251–291.
2016 | Published | Journal Article | IST-REx-ID: 1434 |

Local stability of the free additive convolution
Z. Bao, L. Erdös, K. Schnelli, Journal of Functional Analysis 271 (2016) 672–719.
[Preprint]
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| DOI
| Download Preprint (ext.)
Z. Bao, L. Erdös, K. Schnelli, Journal of Functional Analysis 271 (2016) 672–719.
2015 | Published | Journal Article | IST-REx-ID: 1504 |

Spectral statistics of large dimensional spearman s rank correlation matrix and its application
Z. Bao, L. Lin, G. Pan, W. Zhou, Annals of Statistics 43 (2015) 2588–2623.
[Published Version]
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| DOI
| Download Published Version (ext.)
Z. Bao, L. Lin, G. Pan, W. Zhou, Annals of Statistics 43 (2015) 2588–2623.
2015 | Published | Journal Article | IST-REx-ID: 1505 |

Universality for the largest eigenvalue of sample covariance matrices with general population
Z. Bao, G. Pan, W. Zhou, Annals of Statistics 43 (2015) 382–421.
[Preprint]
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| DOI
| Download Preprint (ext.)
Z. Bao, G. Pan, W. Zhou, Annals of Statistics 43 (2015) 382–421.
2015 | Published | Journal Article | IST-REx-ID: 1506 |

The logarithmic law of random determinant
Z. Bao, G. Pan, W. Zhou, Bernoulli 21 (2015) 1600–1628.
[Preprint]
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Z. Bao, G. Pan, W. Zhou, Bernoulli 21 (2015) 1600–1628.
2015 | Published | Journal Article | IST-REx-ID: 1585
Asymptotic mutual information statistics of MIMO channels and CLT of sample covariance matrices
Z. Bao, G. Pan, W. Zhou, IEEE Transactions on Information Theory 61 (2015) 3413–3426.
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Z. Bao, G. Pan, W. Zhou, IEEE Transactions on Information Theory 61 (2015) 3413–3426.
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12 Publications
2021 | Published | Journal Article | IST-REx-ID: 9550 |

Equipartition principle for Wigner matrices
Z. Bao, L. Erdös, K. Schnelli, Forum of Mathematics, Sigma 9 (2021).
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
Z. Bao, L. Erdös, K. Schnelli, Forum of Mathematics, Sigma 9 (2021).
2020 | Published | Journal Article | IST-REx-ID: 9104 |

On the support of the free additive convolution
Z. Bao, L. Erdös, K. Schnelli, Journal d’Analyse Mathematique 142 (2020) 323–348.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
Z. Bao, L. Erdös, K. Schnelli, Journal d’Analyse Mathematique 142 (2020) 323–348.
2020 | Published | Journal Article | IST-REx-ID: 10862 |

Spectral rigidity for addition of random matrices at the regular edge
Z. Bao, L. Erdös, K. Schnelli, Journal of Functional Analysis 279 (2020).
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
Z. Bao, L. Erdös, K. Schnelli, Journal of Functional Analysis 279 (2020).
2019 | Published | Journal Article | IST-REx-ID: 6511 |

Local single ring theorem on optimal scale
Z. Bao, L. Erdös, K. Schnelli, Annals of Probability 47 (2019) 1270–1334.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
Z. Bao, L. Erdös, K. Schnelli, Annals of Probability 47 (2019) 1270–1334.
2017 | Published | Journal Article | IST-REx-ID: 1207 |

Local law of addition of random matrices on optimal scale
Z. Bao, L. Erdös, K. Schnelli, Communications in Mathematical Physics 349 (2017) 947–990.
[Published Version]
View
| Files available
| DOI
| WoS
Z. Bao, L. Erdös, K. Schnelli, Communications in Mathematical Physics 349 (2017) 947–990.
2017 | Published | Journal Article | IST-REx-ID: 1528 |

Delocalization for a class of random block band matrices
Z. Bao, L. Erdös, Probability Theory and Related Fields 167 (2017) 673–776.
[Published Version]
View
| Files available
| DOI
| WoS
Z. Bao, L. Erdös, Probability Theory and Related Fields 167 (2017) 673–776.
2017 | Published | Journal Article | IST-REx-ID: 733 |

Convergence rate for spectral distribution of addition of random matrices
Z. Bao, L. Erdös, K. Schnelli, Advances in Mathematics 319 (2017) 251–291.
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
| WoS
Z. Bao, L. Erdös, K. Schnelli, Advances in Mathematics 319 (2017) 251–291.
2016 | Published | Journal Article | IST-REx-ID: 1434 |

Local stability of the free additive convolution
Z. Bao, L. Erdös, K. Schnelli, Journal of Functional Analysis 271 (2016) 672–719.
[Preprint]
View
| DOI
| Download Preprint (ext.)
Z. Bao, L. Erdös, K. Schnelli, Journal of Functional Analysis 271 (2016) 672–719.
2015 | Published | Journal Article | IST-REx-ID: 1504 |

Spectral statistics of large dimensional spearman s rank correlation matrix and its application
Z. Bao, L. Lin, G. Pan, W. Zhou, Annals of Statistics 43 (2015) 2588–2623.
[Published Version]
View
| DOI
| Download Published Version (ext.)
Z. Bao, L. Lin, G. Pan, W. Zhou, Annals of Statistics 43 (2015) 2588–2623.
2015 | Published | Journal Article | IST-REx-ID: 1505 |

Universality for the largest eigenvalue of sample covariance matrices with general population
Z. Bao, G. Pan, W. Zhou, Annals of Statistics 43 (2015) 382–421.
[Preprint]
View
| DOI
| Download Preprint (ext.)
Z. Bao, G. Pan, W. Zhou, Annals of Statistics 43 (2015) 382–421.
2015 | Published | Journal Article | IST-REx-ID: 1506 |

The logarithmic law of random determinant
Z. Bao, G. Pan, W. Zhou, Bernoulli 21 (2015) 1600–1628.
[Preprint]
View
| DOI
| Download Preprint (ext.)
Z. Bao, G. Pan, W. Zhou, Bernoulli 21 (2015) 1600–1628.
2015 | Published | Journal Article | IST-REx-ID: 1585
Asymptotic mutual information statistics of MIMO channels and CLT of sample covariance matrices
Z. Bao, G. Pan, W. Zhou, IEEE Transactions on Information Theory 61 (2015) 3413–3426.
View
| DOI
Z. Bao, G. Pan, W. Zhou, IEEE Transactions on Information Theory 61 (2015) 3413–3426.