The mechanical behavior of the tympanic membrane displays both non-linearity and viscoelasticity. Previous finite-element models of the tympanic membrane, however, have been either non-linear or viscoelastic but not both. In this study, these two features are combined in a non-linear viscoelastic model. The constitutive equation of this model is a convolution integral composed of a non-linear e...

In this paper we evaluate the relative performance of linear, non-linear and time-varying models for about 500 macroeconomic variables for the countries in the Euro area, using a real-time forecasting methodology. It turns out that linear models work well for about 35% of the series under analysis, time-varying models for another 35% and non-linear models for the remaining 30% of the series. Th...

We consider the usefulness of the two-regime SETAR model for out-of-sample forecasting, and compare it with a linear AR model. A range of newly-developed forecast evaluation techniques are employed. Our simulation results show that time-series data need to exhibit a substantial degree of non-linearity before the SETAR model is favoured on some of these criteria. We find only weak evidence that ...

This document describes the work undertaken for characterizing the flux non-linearity of the MIPS 70μm array. The effect, due to the change of rate of incident radiation on the detector, has been described in Gordon et al. (2007) and is typical of Ge:Ga photoconductors. The analysis has made use of MIPS calibration data aquired in Wide Field (WF), Narrow Field (NF) and Spectral Energy Distribut...

We establish an arithmeticity vs. non-linearity alternative for irreducible lattices in suitable product groups, for instance products of topologically simple groups. This applies notably to a (large class of) Kac-Moody groups. The alternative relies heavily on the superrigidity theorem we propose in [Md], since we follow Margulis’ reduction of arithmeticity to superrigidity.

One “problem” with the 21st century world, particularly the economic and business worlds, is the phenomenal and increasing number of interconnections between economic agents (consumers, firms, banks, markets, national economies). This implies that such agents are all interacting and consequently giving raise to enormous degrees of non-linearity, a.k.a. complexity. Complexity often brings with i...

Let L be an extension of degree m of the eld F2. Let be the canonical additive character of L. The Fourier coe cient of the polynomial f(X) 2 L[X ] at the point a 2 L is de ned by b f(a) = P x2L (f(x) + a:x): The spectral magnitude of f , R(f) := supa2F 2 j b f(a)j, is one of the most important cryptographic parameters associated to f [10]. The determination of the spectral magnitude of power f...

A major bottleneck in Analog and Mixed-Signal Built-InSelf-Test (AMBIST) is the difficulty in generating high precision input stimuli that are required in most existing AMBIST schemes. This paper presents a new approach to AMBIST of ADCs using low precision input stimuli. With mild qualitative assumptions on input signals and the model of the ADC, the blind identification algorithms identify bo...

This paper explores a new language of neighbourhood structures where existential information can be given about what kind of worlds occur in a neighbourhood of a current world. The resulting system of ‘instantial neighbourhood logic’ INL has a non-trivial mix of features from relational semantics and from neighbourhood semantics. We explore some basic model-theoretic behavior, including a match...