Results 11 to 20 of about 10,578 (149)

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

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
core   +2 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

Complete controllability of quantum systems [PDF]

, 2001
Sufficient conditions for complete controllability of $N$-level quantum systems subject to a single control pulse that addresses multiple allowed transitions concurrently are established.
A. I. Solomon, H. Fu, H. Rabitz, J. F. Cornwell, M. D. Girardeau, M. Shaul, N. Jacobson, R. Gilmore, R. Hermann, S. Chelkowski, S. G. Schirmer, S. G. Schirmer, V. Jurdjevic, V. Ramakrishna, V. Ramakrishna, V. Ramakrishna, W. Zhu, Y. Ohtsuki   +17 more
core   +2 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

Quantum heat engines: limit cycles and exceptional points [PDF]

, 2018
We show that the inability of a quantum Otto cycle to reach a limit cycle is connected with the propagator of the cycle being non-compact. For a working fluid consisting of quantum harmonic oscillators, the transition point in parameter space where this ...
Andresen, Bjarne, Insinga, Andrea, Kosloff, Ronnie, Salamon, Peter   +3 more
core   +2 more sources

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
core   +3 more sources

Centro-affine hypersurface immersions with parallel cubic form [PDF]

, 2013
We consider non-degenerate centro-affine hypersurface immersions in R^n whose cubic form is parallel with respect to the Levi-Civita connection of the affine metric.
Hildebrand, Roland
core   +3 more sources

Robust Bounds on the Eigenvalues of Linear Systems With Delays and Their Applications in Stability Analysis

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT We review some known bounds on the eigenvalues of a matrix and use similar techniques to derive bounds for the class of nonlinear eigenproblems and, as a special case, the eigenvalues for LTI systems with delays. We present two classes of results.
Erik I. Verriest
wiley   +1 more source