random matrix theory造句

• Hypergeometric functions of a matrix argument have applications in random matrix theory.
• He is known for work on sparse approximation, numerical linear algebra, and random matrix theory.
• Another good example is random matrix theory, which can be used to identify the noise in financial correlation matrices.
• This leads to other areas of noncommutative probability such as quantum probability, random matrix theory, and free probability.
• The identity also finds applications in random matrix theory by relating determinants of large matrices to determinants of smaller ones.
• An important class of point processes, with applications to physics, random matrix theory, and combinatorics, is that of determinantal point processes.
• They set out a framework for understanding how the empirical spectral distribution of G may differ from the random expectations that have been developed under random matrix theory ( RMT ).
• In quantum chaos, the Bohigas Giannoni Schmit ( BGS ) conjecture asserts that the spectral statistics of quantum systems whose classical counterparts exhibit chaotic behaviour are described by random matrix theory.
• The Painlev?transcendents appear in random matrix theory in the formula for the Tracy Widom distribution, the 2D Ising model, the asymmetric simple exclusion process and in two-dimensional quantum gravity.
• The statistics of the zero distributions are of interest because of their connection to problems like the Generalized Riemann hypothesis, distribution of prime numbers, etc . The connections with random matrix theory and quantum chaos are also of interest.
• When the ensemble does exist it typically only contains one ( or two ) states, since in a complex system the energy levels are only ever equal by accident ( see random matrix theory for more discussion on this point ).
• He has written on particle physics, condensed matter physics, anomalies in physics, random matrix theory, superconductivity, the quantum Hall effect, and other topics in theoretical physics and evolutionary biology, as well as their various interrelations.
• Random matrix theory has also found applications to the chiral Dirac operator in quantum chromodynamics, quantum gravity in two dimensions, mesoscopic physics, spin-transfer torque, the fractional quantum Hall effect, Anderson localization, quantum dots, and superconductors
• The TCC was set up in 2007 with funding from the EPSRC . Twenty six courses were made available to students in the first year of the collaboration, with topics from diverse areas of mathematics including number theory, partial differential equations, random matrix theory, and group theory.
• In mathematics, he is probably known best for his work on the Riemann zeta function, which led to the invention of improved algorithms, including the Odlyzko Sch鰊hage algorithm, and large-scale computations, which stimulated extensive research on connections between the zeta function and random matrix theory.