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A FRAMEWORK FOR POSITION UNCERTAINTY OF UNORGANISED THREE-DIMENSIONAL POINT CLOUDS FROM NEAR-MONOSTATIC LASER SCANNERS USING COVARIANCE ANALYSIS
Position uncertainty Three-dimensional Point Cloud Laser Scanning
2015/8/13
Position uncertainty is one of the most important quantities of an unorganised three-dimensional point clouds since it
provides the confidence level of any parametric estimation such as surface...
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...
Plane waves in a moving medium and the Lorentz covariance of Minkowski's photon and electromagnetic momentum-energy four-vectors
invariance of phase, wave four-vector, moving dielectric medium, light momentum in medium
2011/8/30
In this paper, invariant forms of refractive index, phase velocity, and group velocity are defined for plane waves in a moving medium. From the covariant wave four-vector combined with Einstein’s ligh...
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.
Some new identities for quantum variance and covariance involving commutators are presented, in which the density matrix and the operators are treated symmetrically. A measure of entanglement is propo...
We study the positive-operator-valued measures on the projective real line covariant with respect to the projective group, assuming that the energy is a positive operator. This problem is similar to t...
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...
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...
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...