Results 1 to 10 of about 9,867 (115)

Inverse Eigenvalue Problem and Least-Squares Problem for Skew-Hermitian {P,K + 1}-Reflexive Matrices

Journal of Mathematics, 2022
This paper involves related inverse eigenvalue problem and least-squares problem of skew-Hermitian {P,k + 1}-reflexive(antireflexive) matrices and their optimal approximation problems.
Chang-Zhou Dong, Hao-Xue Li
doaj   +1 more source

Free CR distributions [PDF]

, 2012
There are only some exceptional CR dimensions and codimensions such that the geometries enjoy a discrete classification of the pointwise types of the homogeneous models.
A. Čap, A. Čap, B. Doubrov, G. Schmalz, G. Schmalz, Gerd Schmalz, J. Šilhan, Jan Slovák, K. Yamaguchi, N. Tanaka, V.V. Ežov   +10 more
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Skew-orthogonal Laguerre polynomials for chiral real asymmetric random matrices [PDF]

, 2010
We apply the method of skew-orthogonal polynomials (SOP) in the complex plane to asymmetric random matrices with real elements, belonging to two different classes. Explicit integral representations valid for arbitrary weight functions are derived for the
Akemann G, Akemann G, Akemann G, Bergère M C, Deift P, Eynard B, Forrester P J, Fyodorov Y V, G Akemann, Ghosh S, Kanzieper E, Khoruzhenko B A, Kieburg M, Kieburg M, M J Phillips, M Kieburg, Mehta M L, Sinclair C D, Sommers H-J, Sommers H-J, Verbaarschot J J M   +20 more
core   +2 more sources

Vector valued hermitian and quaternionic modular forms [PDF]

, 2014
Extending the method of the paper [FS3] we prove three structure theorems for vector valued modular forms, where two correspond to 4-dimensional cases (two hermitian modular groups, one belonging to the field of Eisenstein numbers, the other to the field
Freitag, Eberhard, Manni, Riccardo Salvati   +1 more
core   +4 more sources

Unitary space-time modulation via Cayley transform [PDF]

, 2003
A prevoiusly proposed method for communicating with multiple antennas over block fading channels is unitary space-time modulation (USTM). In this method, the signals transmitted from the antennas, viewed as a matrix with spatial and temporal dimensions ...
Hassibi, Babak, Jing, Yindi
core   +1 more source

Central Limit Theorems for the Brownian motion on large unitary groups [PDF]

, 2009
In this paper, we are concerned with the large N limit of linear combinations of the entries of a Brownian motion on the group of N by N unitary matrices. We prove that the process of such a linear combination converges to a Gaussian one.
De France, Florent Benaych-georges, Florent Benaych-georges, Société Mathématique   +3 more
core   +8 more sources

Induced Ginibre ensemble of random matrices and quantum operations [PDF]

, 2012
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 matrices via a quadratisation procedure.
Bruzda, W., Fischmann, J., Khoruzhenko, B. A., Sommers, H. -J., Zyczkowski, K.   +4 more
core   +2 more sources

Random Matrix Theory for the Hermitian Wilson Dirac Operator and the chGUE-GUE Transition

, 2011
We introduce a random two-matrix model interpolating between a chiral Hermitian (2n+nu)x(2n+nu) matrix and a second Hermitian matrix without symmetries. These are taken from the chiral Gaussian Unitary Ensemble (chGUE) and Gaussian Unitary Ensemble (GUE),
A Pandey, A Shindler, ABJ Kuijlaars, B Schlittgen, C Itzykson, C Lehner, D Toublan, E Brézin, E Kanzieper, EV Shuryak, F Basile, G Akemann, G Akemann, G Akemann, G Akemann, G Akemann, G Akemann, G Akemann, G Akemann, Gernot Akemann, H Fukaya, Harish-Chandra, IS Gradshteyn, J Gasser, JJM Verbaarschot, JJM Verbaarschot, JJM Verbaarschot, K Splittorff, K Splittorff, K Splittorff, M Katori, M Kieburg, ML Mehta, ML Mehta, O Bär, PH Damgaard, PH Damgaard, PH Damgaard, PH Damgaard, PH Damgaard, PH Damgaard, PH Damgaard, PJ Forrester, RG Edwards, S Necco, SM Nishigaki, SR Sharpe, T Nagao, T Nagao, T Nagao, T Nagao, T Nagao, T Wilke, Taro Nagao, YV Fyodorov   +54 more
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Pfaffian Expressions for Random Matrix Correlation Functions

, 2007
It is well known that Pfaffian formulas for eigenvalue correlations are useful in the analysis of real and quaternion random matrices. Moreover the parametric correlations in the crossover to complex random matrices are evaluated in the forms of ...
A. Borodin, A. Pandey, B. Eynard, E. Brézin, F.J. Dyson, F.J. Dyson, F.J. Dyson, Harish-Chandra, M. Adler, M. Katori, M.L. Mehta, M.L. Mehta, M.L. Mehta, M.L. Mehta, M.L. Mehta, P.J. Forrester, P.J. Forrester, P.J. Forrester, T. Nagao, T. Nagao, T. Nagao, T. Nagao, T. Nagao, T. Nagao, T. Nagao, T. Nagao, T. Nagao, T. Sasamoto, Taro Nagao   +28 more
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Least-Squares Approximation by Elements from Matrix Orbits Achieved by Gradient Flows on Compact Lie Groups

, 2008
Let $S(A)$ denote the orbit of a complex or real matrix $A$ under a certain equivalence relation such as unitary similarity, unitary equivalence, unitary congruences etc.
Li, C. K., Poon, Y. T., Schulte-Herbrueggen, T.   +2 more
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