We give an explicit evaluation, in terms of products of Jacobsthal numbers, of the Hankel determinants of order a power of two for the period-doubling sequence. We also explicitly give the eigenvalues and eigenvectors of the corresponding Hankel matrices.

The purpose of this paper was to provide insight into the nature of response selection by reviewing the literature on stimulus-response compatibility (SRC) effects and the psychological refractory period (PRP) effect individually and jointly. The empirical findings and theoretical explanations of SRC effects that have been studied within a single-task context suggest that there are two response...

The recent developments of side channel attacks have lead implementers to use more and more sophisticated countermeasures in critical operations such as modular exponentiation, or scalar multiplication in the elliptic curve setting. In this paper, we propose a new attack against a classical implementation of these operations that only requires two queries to the device. The complexity of this s...

In this paper we investigate the properties and linear stability of travelling premixed combustion waves and the formation of pulsating combustion waves in a model with two-step chain-branching reaction mechanism. These calculations are undertaken in the adiabatic limit, in one spatial dimension and for the case of arbitrary Lewis numbers for fuel and radicals. It is shown that the Lewis number...

The complexity of a signal can be measured by the Recurrence period density entropy (RPDE) from the reconstructed phase space. We have chosen a window based RPDE method for the classification of signals, as RPDE is an average entropic measure of the whole phase space. We have observed the changes in the complexity in cardiac signals of normal healthy person (NHP) and congestive heart failure pa...

Despite increasing interest in the topic, the extent to which linguistic processing demands attentional resources remains poorly understood. We report an empirical re-examination of claims about lexical processing made on the basis of the picture-word interference task when merged in a dual-task psychological refractory period (PRP) paradigm. Two experiments were conducted in which participants...

Transformations of hand movements by tools such as levers or electronic input devices can invoke performance costs compared to untransformed movements. This study investigated by means of the Psychological Refractory Period (PRP) paradigm at which stage of information processing such tool-transformation costs arise. We used an inversion transformation, that is, the movement of the operating han...

Suppose g ≥ 1, and let α = (α1, . . . , αn) be a partition of 2g− 2, and let H(α) be a stratum of Abelian differentials, i.e. the space of pairs (M,ω) where M is a Riemann surface and ω is a holomorphic 1-form on M whose zeroes have multiplicities α1 . . . αn. The form ω defines a canonical flat metric on M with conical singularities at the zeros of ω. Thus we refer to points of H(α) as flat su...

In a number of field theoretical models the vacuum angle θ enters physics in the combination θ/N , where N stands generically for the number of colors or flavors, in an apparent contradiction with the expected 2π periodicity in θ. We argue that a resolution of this puzzle is related to the existence of a number of different θ dependent sectors in a finite volume formulation, which can not be se...

Copyright © 2014 Elvira A. Abbruzzese et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. In accordance of the Creative Commons Attribution License all Copyrights © 2014 are reserved for SCIRP and the owner of the intellectual ...