Laguerre entire functions are the polynomials of a single complex variable possessing real nonpositive zeros only or their limits on compact subsets of C. These functions are employed to establish a property of isotropic (i.e., OðNÞ-invariant) probability measures on R , N 2 N. It is called the Lee–Yang property since, in the case N 1⁄4 1, it corresponds to the property of the partition functio...

Die Veränderungen über die Zeit sowie die Notwendigkeit der Unterstützung bei bestimmten Aktivitäten sollen durch die automatisierte Erfassung von Verhaltensmustern / Aktivitäten bestimmt werden. Darüber hinaus soll die Abbildung der erfassten Aktivitäten auf standardisierte Testverfahren untersucht werden. Viele vorhandene Systeme zur Bestimmung von Verhaltensmustern basieren auf Sensoren, die...

A family of n-dimensional Lee spheres L is a tiling of Rn , if ∪L = Rn and for every Lu , Lv ∈ L, the intersection Lu ∩ Lv is contained in the boundary of Lu . If neighboring Lee spheres meet along entire (n−1)-dimensional faces, then L is called a face-to-face tiling. We prove the nonexistence of a face-to-face tiling of R4 with Lee spheres of different radii. c © 2005 Elsevier Ltd. All rights...

Correlation functions of the composite field T T̄ in the scaling Lee–Yang model are studied. Using the analytic expression for form factors of this operator recently proposed by Delfino and Niccoli [1], we show numerically that the constraints on the T T̄ expectation values obtained in [2] and the additional requirement of asymptotic behavior lead to a perfect agreement with the ultraviolet asymp...

In this work, we construct the non-relativistic Lee model on some class of three dimensional Riemannian manifolds by following a novel approach introduced by S. G. Rajeev [1]. This approach together with the help of heat kernel allows us to perform the renormalization non-perturbatively and explicitly. For completeness, we show that the ground state energy is bounded from below for different cl...

für Naturforschung in cooperation with the Max Planck Society for the Advancement of Science under a Creative Commons Attribution 4.0 International License. Dieses Werk wurde im Jahr 2013 vom Verlag Zeitschrift für Naturforschung in Zusammenarbeit mit der Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. digitalisiert und unter folgender Lizenz veröffentlicht: Creative Commons Namen...

We consider the identification problem for the model of Lee and Carter (1992). The parameters of this model are known only to be identified up to certain transformations. Forecasts from the model may therefore depend on the arbitrarily chosen identification scheme. A condition for invariant forecasts is proposed. A number of standard forecast models are analyzed.