Schrödinger operators with Gaussian random potentials in d-dimensional Euclidean space IR, d ≥ 1, find wide-spread applications in physics. They are used, for example, to model aspects of disordered electronic systems such as heavily doped and highly compensated semiconductors [BEE+, SE]. Over several decades theoretical physicists have developed a good insight into the spectral characteristics...

We use twist deformation techniques to analyse the behaviour under area-preserving diffeomorphisms of quantum averages of Wilson loops in Yang-Mills theory on the noncommutative plane. We find that while the classical gauge theory is manifestly twist covariant, the holonomy operators break the quantum implementation of the twisted symmetry in the usual formal definition of the twisted quantum f...

In several different aspects of algebra and topology the following problem is of interest: find the maximal number of unitary antisymmetric operators Ui in H = Rn with the property UiUj = −UjUi (i 6= j). The solution of this problem is given by the Hurwitz-Radon-Eckmann formula. We generalize this formula in two directions: all the operators Ui must commute with a given arbitrary self-adjoint o...

Two approximations of the Hessian matrix as limited-memory operators are built from the limited-memoryBFGS inverse Hessian approximationprovided by the minimization code, in view of the speci cation of the inverse analysis/forecast error covariance matrix in variational data assimilation. Some numerical experiments and theoretical considerations lead to reject the limited-memory DFP Hessian app...

We propose a method of comparing two functional linear models in which explanatory variables are functions (curves) and responses can be either scalars or functions. In such models, the role of parameter vectors (or matrices) is played by integral operators acting on a function space. We test the null hypothesis that these operators are the same in two independent samples. The complexity of the...

Abstract: In this paper we provide a comprehensive study of statistical inference in linear and allied models which exhibit some analytic perturbations in their design and covariance matrices. We also indicate a few potential applications. In the theory of perturbations of linear operators it has been known for a long time that the so-called “singular perturbations” can have a big impact on sol...

Multiple-shot person re-identification deals with the problem to build the correspondence between the images of the same person appearing at different sites captured by onsite deployed cameras. The difficulty stems from large within-class but small betweenclass variations caused by the change of person appearance and environment. Traditional methods on feature/signature design and/or distance/d...

The behavior of the “constants”, G, c, h̄, a, e, mi and Λ, considering them as variable, in the framework of a flat cosmological model with FRW symmetries described by a bulk viscous fluid and considering mechanisms of adiabatic matter creation are investigated. Two cases are studied; one with radiation predominance and another of matter predominance. It is found that with the solution obtained ...

We show the existence of a broad class affine Markov processes on cone positive self-adjoint Hilbert–Schmidt operators. Such are well-suited as infinite-dimensional stochastic covariance models. The we consider is an analogue semi-definite and symmetric matrices studied in Cuchiero et al. (2011). As finite-dimensional case, construct allow for drift depending linearly state, well jumps governed...

The simulation of complex light effects such as depth-of-field, motion blur or scattering in participating media requires a tremendous amount of computation. But the resulting pictures are often blurry. We claim that those regions should be computed sparsely to reduce their cost. To do so, we propose a method covariance tracing that estimates the local variations of a signal. This method is bas...