A ∂-analogue of differential characters for complex manifolds is introduced and studied using a new theory of homological spark complexes. Many essentially different spark complexes are shown to have isomorphic groups of spark classes. This has many consequences: It leads to an analytic representation of O-gerbes with connection, it yields a soft resolution of the sheaf O by currents on the man...

The method of stochastic state classes provides a means for quantitative analysis of a rather wide class of non-Markovian models. As a major and structural limitation, the approach cannot be applied to models encompassing a preemptive policy, which in the practice rules out the mechanism of suspension and resume usually applied in many real-time systems. We overcome here the limitation by propo...

Eye movements are a behavioral response that can be involved in tasks as complicated as natural image classification. This report confirms that proand anti-saccades can be used by a volunteer to designate target (animal) or non-target images that were centered 16 degrees off the fixation point. With more than 86% correct responses, 11 participants responded to targets in 470 milliseconds on ave...

We use the analytic signal approach based on the Hilbert transform to compute the phase di erence between two non-stationary signals and nd out epochs of phase locking. In: Nonlinear Analysis of Physiological Data, Edited by H. Kantz, J. Kurths, and G. Mayer{Kress (Springer, Berlin, 1998), pp. 91-99

Friction, which evidently appears in any mechanical systems incorporating parts with relative motion, manifests itself as material nonlinearity. Depending on its application, friction can be a desirable thing or a drawback in the system. In order to optimally utilize or compensate for the frictional effect in a system, characterization of the frictional behaviour is very crucial. The classical ...

Let G be a p-adic connected reductive group with Lie algebra g. For a parabolic subgroup P ⊂ G and a finite-dimensional locally analytic representation V of a Levi subgroup of P, we study the induced locally analytic G-representation W = IndP (V ). Our result is the following criterion concerning the topological irreducibility of W : If the Verma module U(g) U(p) V ′ associated to the dual repr...

A property of nonlinear oscillators—mutual dependence between their instantaneous amplitude and frequency—is tested in the yearly and monthly records of the sunspot numbers using the histogramadjusted isospectral surrogate data and the Barnes model as the autoregressive moving average surrogates. The instantaneous amplitudes and frequencies are obtained by means of the analytic signal approach ...

The multivariate complex normal distribution is often employed as a tractable and convenient model for MIMO wireless systems. Several models may result depending on how the covariance matrix is specified, i.e. power or complex envelope correlation and full or separable (Kronecker) correlation. This paper investigates the differences of the various models by applying a joint transmit/receive bea...

The effect of laser line shape and bandwidth on the signal detected in two-color, resonant four-wave mixing ~TC-RFWM! spectroscopy is determined by means of an ab initio calculation of the third-order polarization based on diagrammatic perturbation theory. Modifications to the approach previously used for the case of d-function laser line shapes are made by introducing a different treatment of ...

This text describes a generalization of the analytic signal (Gabor, 1946) approach for the definition of instantaneous amplitude and phase to the case of multivariate signals. It was originally written as an appendix for another paper, where the determination of the locally dominant oscillatory direction (the instantaneous amplitude) described here is used as a preprocessing step for another ki...