Synchronization of coupled, self-excited oscillators in complex systems is a common occurance. This report examines the effects of thermal coupling through the walls of a building on temperature oscillations due to hysteretic thermostatic control. The specific case of three rooms is studied. A system of differential equations models the dynamics of each room temperature, accounting for on-off h...

In a previous article (see [BFM]) the authors studied a model of nonlinear membrane where the external surface loading induces a density of bending moment. Due to the special form of the applied surface forces, the emerging Cosserat vector, result of the 3D-2D dimension reduction, was restricted to a class of two dimensional functions. In this paper we analyze the more general case where the Co...

The Steinberg Tensor Product Theorem is a fundamental result in the modular representation theory of algebraic groups. The purpose of the present article is to formulate and prove the analogous theorem for the supergroup GL(m|n). This result was first mentioned without proof in [2]. We emphasize that our approach closely parallels the analogous result for the supergroup Q(n) proven by Brundan a...

Let N be a positive integer. In 1964, Roth [3], see also [4] and [5], proved that no matter how we partition {1, . . . , N} into two sets there will always be an arithmetic progression which contains a preponderance of terms from one of the two sets. In particular, let ε1, . . . , εN be elements of {1,−1} and put εi = 0 for i < 1 and i > N . He proved that there exist positive numbers c0 and c1...

We study the consistency and asymptotic normality of the LS estimator of a function h(θ) of the parameters θ in a nonlinear regression model with observations yi = η(xi, θ) + εi, i = 1, 2 . . . and independent errors εi. Optimum experimental design for the estimation of h(θ) frequently yields singular information matrices, which corresponds to the situation considered here. The difficulties cau...

− Methods enabling a determination of errors εI and δI for a high transformation ratio difference between a standard and tested instrument current transformers (ICT) are described in this article. A widespread method uses an automatic transformer test set for the measurement of a difference between a standard and tested ICT. A method transforming secondary currents to voltages and an indirect m...

I will described a nonparametric framework for locally adaptive signal processing and analysis. This framework is based upon the notion of Kernel Regression which we generalize to adapt to local characteristics of the given data, resulting in descriptors which take into account both the spatial density of the samples (”the geometry”), and the actual values of those samples (”the radiometry”). T...

Abstract. We investigate the statistics of the transformation-strains that arise in random martensitic polycrystals as boundary conditions cause its component crystallites to undergo martensitic phase transitions. In our one-dimensional polycrystal model the orientation of the n grains is given by an uncorrelated random array of the orientation angles θi, i = 1, . . . , n. Under imposed boundar...

Soybean (Glycine max Merr.) is the world's most widely grown leguminous crop and an important source of protein and oil for food and feed. Soybean yields have increased substantially throughout the past century, with yield gains widely attributed to genetic advances and improved cultivars as well as advances in farming technology and practice. Yet, the physiological mechanisms underlying the hi...

We consider the model Zi = Xi + εi for i.i.d. Xi’s and εi’s and independent sequences (Xi)i∈N and (εi)i∈N. The density of ε is assumed to be known whereas the one of X1 denoted by g is unknown. Our aim is to study the estimation of linear functionals of g, 〈ψ, g〉 for a known function ψ. We propose a general estimator of 〈ψ, g〉 and study the rate of convergence of its quadratic risk in function ...