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Local Marchenko-Pastur Law at the Hard Edge of Sample Covariance Matrices
Random matrices ovariance matrices archenko-Pastur law ensity of states elocalization
2012/6/29
Let $X_N$ be a $N\times N$ matrix whose entries are i.i.d. complex random variables with mean zero and variance $\frac{1}{N}$. We study the asymptotic spectral distribution of the eigenvalues of the c...
Reconstructing signals from noisy data with unknown signal and noise covariance
statistics information theory statistical mechanics
2011/8/17
Abstract: We derive a method to reconstruct Gaussian signals from linear measurements with Gaussian noise. This new algorithm is intended for applications in astrophysics and other sciences. The start...
Dynamical locality and covariance: What makes a physical theory the same in all spacetimes?
Dynamical locality covariance physical theory spacetime
2011/7/26
Abstract: The question of what it means for a theory to describe the same physics on different spacetimes (of the same dimension) is discussed. To this end, a previously introduced functorial descript...
Fluctuations of Matrix Entries of Regular Functions of Sample Covariance Random Matrices
Matrix Entries Sample Covariance Random Matrices Probability
2011/7/27
Abstract: We extend the results about the fluctuations of the matrix entries of regular functions of Wigner matrices to the case of sample covariance random matrices.
The Relativistic Covariance of the Fermion Green Function and
Minimal Quantization of Electrodynamics
minimal quantization transverse variables fermion Green function
2007/8/15
2002Vol.37No.2pp.167-172DOI:
The Relativistic Covariance of the Fermion Green Function and
Minimal Quantization of Electrodynamics
Nguyen Suan Han1,2
1 Institute of Theo...
Criterion of Quantum Entanglement and the Covariance Correlation
Tensor in the Theory of Quantum Network
covariance correlation tensor in quantum network theory
criterion of entanglement Bell bases GHZ states
2007/8/15
2003Vol.39No.1pp.15-20DOI:
Criterion of Quantum Entanglement and the Covariance Correlation
Tensor in the Theory of Quantum Network
QIAN Shang-Wu1 and GU Zhi-Yu2
1 Physi...
Role of Covariance Correlation Tensor in Establishment of
Criterion of Quantum Entanglement
quantum entanglement covariance correlation tensor quantum
dense coding knotted picture
2007/8/15
2005Vol.44No.3pp.445-450DOI:
Role of Covariance Correlation Tensor in Establishment of
Criterion of Quantum Entanglement
QIAN Shang-Wu1 and GU Zhi-Yu2
1 Physics Departme...