Abstract. A statistical mechanical framework to analyze linear vector channel models in digital wireless communication is proposed for a large system. The framework is a generalization of that proposed for code-division multiple-access systems in Europhys. Lett., 76 (2006) 1193 and enables the analysis of the system in which the elements of the channel transfer matrix are statistically correlat...

The vector Boundary Element Method (vBEM) is used for the calculation of a matrix that links the tangential components of the current density on the cortical and scalp surface. This so-called transfer matrix is compared to the transfer matrix that links the potential distribution on both surfaces. Forward and inverse calculations are performed to evaluate both types of transfer matrices. Keywor...

We consider the double-row (open) transfer matrix constructed from generic representations of various types of Hecke algebras. For different choices of boundary conditions for the relevant integrable lattice model we express the double-row transfer matrix solely in terms of generators of the corresponding Hecke algebra. We then expand the open transfer matrix and extract the associated Murphy e...

We consider the open XXZ quantum spin chain with nondiagonal boundary terms. For bulk anisotropy value η = iπ p+1 , p = 1 , 2 , . . ., we propose an exact (p+1)-order functional relation for the transfer matrix, which implies Bethe-Ansatz-like equations for the corresponding eigenvalues. The key observation is that the fused spin2 transfer matrix can be expressed in terms of a lower-spin transf...

The notion of a 1-vertex transfer matrix for multidimensional codes. It is shown that the capacity of such codes, or the topological entropy, can be expressed as the limit of the logarithm of spectral radii of 1-vertex transfer matrices. Storage and computations using the 1-vertex transfer matrix are much smaller than storage and computations needed for the standard transfer matrix. The method ...

The notion of a 1-vertex transfer matrix for multi-dimensional codes is introduced. It is shown that the capacity of such codes, or the topological entropy, can be expressed as the limit of the logarithm of spectral radii of 1-vertex transfer matrices. Storage and computations using the 1-vertex transfer matrix are much smaller than storage and computations needed for the standard transfer matr...

A selection of these reports is available in PostScript form at the Faculty's anonymous ftp-Abstract Structured transfer matrix systems are linear systems given by transfer matrices of which the innnite pole order of each nonzero entry is known, while the associated innnite gains are unknown and assumed mutually independent. In this paper necessary and suucient conditions are derived for the ge...

This paper characterizes a class of regular para-Hermitian transfer matrices and then reveals the elementary characteristics of J -spectral factorization for this class. A transfer matrix in this class admits a J -spectral factorization if and only if there exists a common nonsingular matrix to similarly transform the A-matrices of and −1, resp., into 2 × 2 lower (upper, resp.) triangular block...

The Causal Dynamical Triangulation model of quantum gravity (CDT) is a proposition to evaluate the path integral over space-time geometries using a lattice regularization with a discrete proper time and geometries realized as simplicial manifolds. The model admits a Wick rotation to imaginary time for each space-time configuration. Using computer simulations we determined the phase structure of...