For S a subordinator and Πn an independent Poisson process of intensity ne−x, x > 0, we are interested in the number Kn of gaps in the range of S that are hit by at least one point of Πn. Extending previous studies in [7, 10, 11] we focus on the case when the tail of the Lévy measure of S is slowly varying. We view Kn as the terminal value of a random process Kn, and provide an asymptotic analy...

It is possible for medium-frequency (MF) radar systems to estimate kinetic energy dissipation rates by measuring signal fading times. Here, we present approximately 5 years of such results from Tromsø (69 N, 19 E) and in particular, investigate the periodicities present at different altitudes in the regime 80 to 100 km. We detect the known annual variation in the mesosphere and the semiannual v...

Let A be the disk algebra, Ω be a compact Hausdorff space and μ be a Borel measure on Ω. It is shown that the dual of C(Ω, A) has the Dunford-Pettis property. This proved in particular that the spaces L(μ,L/H 0 ) and C(Ω, A) have the Dunford-Pettis property.

[1] Mursula et al. [2011] (MTL11) suggest that there is a 22-year variation in solar wind activity that coupled with the variation in heliographic latitude of the Earth during the year, gives rise to an apparent semiannual variation of geomagnetic activity in averages obtained over several solar cycles. They suggest that the observed semiannual variation is seriously overestimated and is largel...

The class of bounded variation bvF (u, v) of fuzzy numbers introduced by [8] has been investigated further with the help of the generalized weighted mean matrix G(u, v). Imposing some restrictions on the matrix G(u, v), we have established it’s relation with different class of sequences such as our known classical sets, set of all statistically null difference sequences, Cesaro sequences etc. A...

In this paper, I quantify the impact of state-level macroeconomic conditions during childhood on investment decisions in adulthood. The use of intertemporal withinstate variation allows me to control for potentially confounding unobservable national conditions. Unlike previous research that uses national aggregates, I find a significant effect of childhood macroeconomic conditions on investment...

We proceed from the view that linguistic variation must be examined from an aggregate perspective, i.e. from a perspective which encompasses as much of the variation between language varieties as possible rather than concentrating on single linguistic features. We review the motivation for this position in the rst section of the article, and then examine ways in which aggregate variation can be...

During the process of spoken word recognition, listeners must cope with a large amount of variation in the speech signal. Some of this variation is conditioned by context (e.g. allophonic variation) and thus, regular and predictable. Faced with this kind of variation, listeners must be able to map two or more acoustically distinct surface forms onto the same lexical representation. In this pape...

— Control of nonlinear systems with unknown disturbances is considered in this paper using disturbance observer based control (DOBC) approach. The disturbances concerned are supposed to be time-varying but with bounded variation. For a nonlinear system with well-defined relative degree from the disturbances to the output, a nonlinear disturbance observer is presented to estimate the unknown dis...

n=0 |eiφlβ n+1 − β n | <∞ for some φl ∈ R. This includes discrete Schrödinger operators on a half-line or line with finite linear combinations of Wigner–von Neumann potentials cos(nφ+α)/n , where γ > 0. For the real line, our results state that in the Lebesgue decomposition dμ = fdm+ dμs of such measures, supp(dμs) ∩ (−2, 2) is contained in an explicite finite set S (thus, dμ has no singular co...