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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Random phase approximation for the mean-field electron gas （3）
平均场 电子气 随机相位近似
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2023/11/29
Random phase approximation (RPA) was proposed by Bohm and Pines in four seminal papers during 1951-1953 to describe the correlation of fermions, namely the correction to the Hartree-Fock theory. While...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Random Surface, Planar Lattice Model, and Conformal Field Theory
随机曲面 平面晶格模型 共形场论
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2023/4/13
Liouville quantum gravity (LQG) is a theory of random surfaces that originated from string theory. Schramm Loewner evolution (SLE) is a family of random planar curves describing scaling limits of many...
Weight for random quark masses
Low energy theory of parameter inflation model
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2014/12/22
In theories in which the parameters of the low energy theory are not unique, perhaps having different values in different domains of the universe as is possible in some inflationary models, the fermio...
Random values of the cosmological constant
The universe physical parameters the cosmological constant
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2014/12/22
Abstract One way that an anthropic selection mechanism may be manifest in a physical theory involves multiple domains in the universe with different values of the physical parameters. If this mechanis...
Random values of the physical parameters
Motivation physical parameters the universe
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2014/12/22
I briefly describe two motivations, two mechanisms and two possible tests of the hypothesis that the physical parameters of the ground state of a theory can vary in different rerions of the universe.
Numerical study of the three-dimensional random-field Ising model at zero and positive temperature
Three-dimensional ising model zero temperature heat capacity critical point
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2014/12/20
In this paper the three-dimensional random-field Ising model is studied at both zero temperature and positive temperature. Critical exponents are extracted at zero temperature by finite size scaling a...
Oscillatory critical amplitudes in hierarchical models and the tail of the Harris random variable
hierarchical models iteration of polynomial maps oscillatory critical amplitudes Harris random variable geometry of Julia set
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2012/6/27
Oscillatory critical amplitudes have been repeatedly observed in hierarchical models and, in the cases that have been taken into consideration, these oscillations are so small to be hardly detectable....
Exact two-point resistance, and the simple random on the complete graph minus $ N$ edges
Exact two-point resistance the simple random the complete graph minus Mathematical Physics
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2012/6/29
An analytical approach is developed to obtain the exact expressions for the two-point resistance, and the total effective resistance of the complete graph minus $N$ edges of the opposite vertices. The...
Extremal spacings of random unitary matrices
Extremal spacings random unitary matrices Mathematical Physics
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2012/4/16
Extremal spacings between unimodular eigenvalues of random unitary matrices of size N pertaining to circular ensembles are investigated. Probability distributions for the minimal spacing for various e...
Atomic structure of a single large biomolecule from diffraction patterns of random orientations
X-ray free electron lasers Single particle x-ray diffraction Orientation Structure reconstruction
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2012/4/20
The short and intense pulses of the new X-ray free electron lasers, now operational or under construction, may make possible diffraction experiments on single molecule-sized objects with high resoluti...
On High Moments and the Spectral Norm of Large Dilute Wigner Random Matrices
random matrices Wigner ensemble dilute random matrices
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2011/9/22
Abstract: We consider a dilute version of the Wigner ensemble of n-dimensional random matrices H such that each row has in average \rho_n non-zero elements. We study asymptotic properties of the spect...
Induced Ginibre ensemble of random matrices and quantum operations
Induced Ginibre ensemble random matrices quantum operations
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2011/9/20
Abstract: A generalisation of the Ginibre ensemble of non-Hermitian random square matrices is introduced. The corresponding probability measure is induced by the ensemble of rectangular Gaussian matri...
Random Kahler Metrics
Random Kahler Metrics High Energy Physics - Theory
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2011/10/9
Abstract: The purpose of this article is to propose a new method to define and calculate path integrals over metrics on a K\"ahler manifold. The main idea is to use finite dimensional spaces of Bergma...
Discrete Schrodinger operators with random alloy-type potential
multiscale analysis fractional moment method Cartan’s Theorem localization discrete alloy-type model non-monotone
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2011/9/6
Abstract: We review recent results on localization for discrete alloy-type models based on the multiscale analysis and the fractional moment method, respectively. The discrete alloy-type model is a fa...
Random matrix approach in search for weak signals immersed in background noise
Random matrix weak signals immerse background noise
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2011/8/4
Abstract: We present new, original and alternative method for searching signals coded in noisy data. The method is based on the properties of random matrix eigenvalue spectra. First, we describe gener...