Maxima of entries of Haar distributed matrices
By Tiefeng Jiang. 2005
59 citations recorded by the source corpus.
Subfields: Discrete Mathematics and Combinatorics, Mathematical Physics, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/2ccf87f0db65d691391d500b9db8963332f22478
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Discrete Mathematics and Combinatorics
- Tiefeng Jiang
- Sourav Chatterjee
- Elizabeth Meckes
- Keke Chen
- Ling Liu
- Van H. Vu
- Terence Tao
- Debashis Paul
In Mathematical Physics
- Tiefeng Jiang
- Sourav Chatterjee
- Elizabeth Meckes
- Wang Zhou
- Debashis Paul
- Alexander Aue
- Mathias Drton
- Keke Chen
In Statistics and Probability
- Tiefeng Jiang
- Sourav Chatterjee
- Elizabeth Meckes
- Wang Zhou
- Alexander Aue
- Debashis Paul
- Mathias Drton
- Danning Li
Citations in the corpus
- Approximation of Haar distributed matrices and limiting distributions of eigenvalues of Jacobi ensembles (2009, background): “Theorem 8 (Theorem 5 in [43]) For each n≥2, there exists matrices n =(γi j )1≤i, j≤n and Yn = (yi j )1≤i, j≤n whose 2n2 elements are random variables defined on the same probability space such that”
- The asymptotic distributions of the largest entries of sample correlation matrices (2004, background): “1] and Rubin and Sethuraman [21]. They are listed in the Appendix. In traditional random matrix theories, eigenvalues are the primary concern. See, for example, [18] and [5]. This paper together with [12], in which the maxima of entries of certain Haar-distributed matrices were studied for an imagin”
- Quantum variational algorithms are swamped with traps (2022, unknown): “By Corollary 1 of [32], this then proves weak convergence of pVQE,θ to the corresponding joint distribution of a weighted sum of WHRFs each with 2l−1 degrees of freedom, up to an additional error in Lévy–Prokhorov distance exponentially small in l.”