Results 11 to 20 of about 8,436,612 (364)

Glassy random matrix models [PDF]

Physical Review E, 2002
This paper discusses Random Matrix Models which exhibit the unusual phenomena of having multiple solutions at the same point in phase space. These matrix models have gaps in their spectrum or density of eigenvalues. The free energy and certain correlation functions of these models show differences for the different solutions.
A. Kamenev, C-I Tan, C-I Tan, C. Crnkkovic, C. Nappi, D. Bessis, D. Bessis, D. Gross, D. Senechal, E. Brézin, E. Brézin, E. Kanzieper, E. Marinari, G. Akemann, G. Akemann, G. Akemann, G. Bhanot, G. Bonnet, G.M. Cicuta, G.M. Cicuta, H. Neuberger, J. Ambjorn, J. Distler, J. Harer, J. Jurkiewicz, K. Demeterfi, L.F. Cugliandolo, M. Bowick, M. Douglas, M. Sasaki, N. Deo, N. Deo, O. Lechtenfeld, O. Lechtenfeld, P. Deift, P. Deift, P. Mathieu, P.M.S. Petropoulos, R.C. Brower, R.C. Penner, R.C. Penner, S. Dalley, T. Guhr, T. Hollowood, V.A. Kazakov, Y. Shimamune   +45 more
openaire   +4 more sources

Quasiclassical Random Matrix Theory [PDF]

Physical Review Letters, 1996
We directly combine ideas of the quasiclassical approximation with random matrix theory and apply them to the study of the spectrum, in particular to the two-level correlator. Bogomolny's transfer operator T, quasiclassically an NxN unitary matrix, is considered to be a random matrix.
A. L. Andreev, A. V. Andreev, A. Voros, B. Dietz, B. Georgeot, E. B. Bogomolny, E. B. Bogomolny, E. Doron, G. Szegö, H. U. Baranger, J. H. Hannay, K. A. Muttalib, M. C. Gutzwiller, M. C. Gutzwiller, M. L. Mehta, M. V. Berry, M. V. Berry, M. V. Berry, N. Argaman, O. Agam, O. Agam, R. Balian, R. Balian, R. E. Prange   +23 more
openaire   +4 more sources

Singular random matrix decompositions: distributions [PDF]

Journal of Multivariate Analysis, 2005
Assuming that Y has a singular matrix variate elliptically contoured distribution with respect to the Hausdorff measure, the distributions of several matrices associated to QR, modified QR, SV and Polar decompositions of matrix Y are determined, for central and non-central, non-singular and singular cases, as well as their relationship to the Wishart ...
González Farías, Graciela, Díaz García, José A.   +1 more
core   +9 more sources

Developments in random matrix theory [PDF]

Journal of Physics A: Mathematical and General, 2003
22 pages ...
Forrester, PJ, Snaith, NC, Verbaarschot, JJM   +2 more
openaire   +3 more sources

Autocorrelation of Random Matrix Polynomials [PDF]

Communications in Mathematical Physics, 2003
We calculate the autocorrelation functions (or shifted moments) of the characteristic polynomials of matrices drawn uniformly with respect to Haar measure from the groups U(N), O(2N) and USp(2N). In each case the result can be expressed in three equivalent forms: as a determinant sum (and hence in terms of symmetric polynomials), as a combinatorial sum,
Conrey, JB, Farmer, DW, Keating, JP, Rubinstein, MO, Snaith, NC   +4 more
openaire   +8 more sources

Random matrix theory within superstatistics [PDF]

Physical Review E, 2005
20 pages, 6 ...
A. M. Mathai, A. Y. Abul-Magd, C. E. Porter, F. Haake, F. Sattin, M. L. Mehta, R. Balian, Y. M. Luke, ∎ ∎   +8 more
openaire   +4 more sources

Random matrix theory for complexity growth and black hole interiors [PDF]

Journal of High Energy Physics, 2021
We study a precise and computationally tractable notion of operator complexity in holographic quantum theories, including the ensemble dual of Jackiw-Teitelboim gravity and two-dimensional holographic conformal field theories.
Arjun Kar, L. Lamprou, M. Rozali, J. Sully   +3 more
semanticscholar   +1 more source

Diffusion MRI noise mapping using random matrix theory. [PDF]

Magn Reson Med, 2016
Veraart J, Fieremans E, Novikov DS.
europepmc   +2 more sources

A Grid Status Analysis Method with Large-Scale Wind Power Access Using Big Data

Energies, 2023
Targeting the problem of the power grid facing greater risks with the connection of large-scale wind power, a method for power grid state analysis using big data is proposed. First, based on the big data, the wind power matrix and the branch power matrix
Dan Liu, Yiqun Kang, Heng Luo, Xiaotong Ji, Kan Cao, Hengrui Ma   +5 more
doaj   +1 more source

Joint Detection, Tracking, and Classification of Multiple Extended Objects Based on the JDTC-PMBM-GGIW Filter

Remote Sensing, 2023
This paper focuses on the problem of joint detection, tracking, and classification (JDTC) for multiple extended objects (EOs) within a Poisson multi-Bernoulli (MB) mixture (PMBM) filter, where an EO is described as an ellipse, and the ellipse is modeled ...
Yuansheng Li, Ping Wei, Mingyi You, Yifan Wei, Huaguo Zhang   +4 more
doaj   +1 more source