random matrices造句

• His research is on integrable systems, gauge theory and random matrices.
• There exist efficient algorithms to generate random matrices in the circular ensembles.
• He examined nuclear reactions in the random matrices.
• B . Orthogonal polynomials, Random matrices.
• One such notion is given by jointly exchangeable matrices; i . e . random matrices satisfying
• In nuclear physics, random matrices were introduced by Eugene Wigner to model the nuclei of heavy atoms.
• In settings involving complex random matrices, one has \ alpha = 1 and \ beta = 2.
• Finally, leaving the space of random matrices one may focus on specific multimode setups with certain features.
• Typically, in settings involving real random matrices, \ alpha = 2 and thus \ beta = 1.
• In solid-state physics, random matrices model the behaviour of large disordered Hamiltonians in the mean field approximation.
• Random matrices are matrices whose entries are random numbers, subject to suitable probability distributions, such as matrix normal distribution.
• Dyson also did work in a variety of topics in mathematics, such as topology, analysis, number theory and random matrices.
• In multivariate statistics, random matrices were introduced by John Wishart for statistical analysis of large samples; see estimation of covariance matrices.
• The study of differential equations for quantum correlation functions led to the discovery of a special class of random matrices and algebraic combinatorics.
• In the field of theoretical neuroscience, random matrices are increasingly used to model the network of synaptic connections between neurons in the brain.
• Furthermore, the distribution of eigenvalues of random matrices in several ensembles is reduced to computations involving orthogonal polynomials ( see for example ).
• Hermitian Euclidean random matrices appear in various physical contexts, including supercooled liquids, phonons in disordered systems, and waves in random media.
• For example, the distributions of the extreme eigenvalues of random matrices are often expressed in terms of the hypergeometric function of a matrix argument.
• Visiting at the Institute for Advanced Study in 1972, he showed this result to Freeman Dyson, one of the founders of the theory of random matrices.
• Showed that the distribution of the zeros of the Riemann zeta function shares some statistical properties with the eigenvalues of random matrices drawn from the Gaussian unitary ensemble.