We consider random walks in a random environment which are generalized versions of well-known effective models for Mott variable-range hopping. We study the homogenized diffusion constant of the random walk in the one-dimensional case. We prove various estimates on the low-temperature behavior which confirm and extend previous work by physicists. 1. Introduction. Random walks among randomly dis...

We report and discuss our main results for the multimode dynamics of a Fabry-P erot laser in diierent situations above threshold: mode beating and mode-hopping. A Travelling Wave approximation has been used together with a model with an asymmetric dynamical gain for the semiconductor laser which captures important features needed for the understanding of multimode dynamics.

We demonstrate that the hopping of singlet electron pairs between Hubbard chains is relevant in the renormalization group sense if appropriate correlations exist between the chains. Typeset using REVTEX

Frequency hopping spread spectrum and direct sequence spread spectrum are two main spread coding technologies. Frequency hopping sequences are needed in FH-CDMA systems. In this paper, a construction of optimal sets of frequency hopping sequences is presented via cyclotomy. The construction is based on the set-theoretic characterization of an optimal set of FH sequences. As a consequence, new o...

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Game hopping is a method for proving the security of a cryptographic scheme. In a game hopping proof, we observe that an attacker running in a particular attack environment has an unknown probability of success. We then slowly alter the attack environment until the attackers success probability can be computed. We also bound the increase in the attacker’s success probability caused by the chang...

The speed and maneuverability at which legged animals can travel through rough and cluttered landscapes has provided inspiration for the pursuit of legged robots with similar capabilities. Researchers have developed reduced-order models of legged locomotion and have begun investigating complementary control strategies based on observed biological control schemes. This study examines a novel con...

Capacitive technologies play an increasingly important role in the fields of industrial and automotive sensors. The noncontact working principle, on the one hand, is the main advantage of this technology; on the other hand, the sensor is thus sensitive to electromagnetic disturbances. This paper describes methods to successfully develop capacitive sensors, which can reliably be operated in hars...

In this paper we consider global optimization algorithms based on multiple local searches for the Molecular Distance Geometry Problem (MDGP). Three distinct approaches (Multistart, Monotonic Bain Hopping, Population Basin Hopping) are presented and for each of them a computational analysis is performed. The results are also compared with those of two other approaches in the literature, the DGSO...

It has been conjectured1,2 that an impurity with charge Z ≥ 2 can be localized due to its interaction with electrons in a metal. The simplest case is an impurity free to move between only two sites, which interacts locally with s-wave electrons. For Z ≥ 2 the hopping of the impurity is formally irrelevant and this has been argued to lead to localization. In this paper it is shown that other pro...