Given a two-dimensional fractional multiplicative process (Ft)t∈[0,1] determined by two Hurst exponents H1 and H2, we show that there is an associated uniform Hausdorff dimension result for the images of subsets of [0, 1] by F if and only if H1 = H2.

We estimate exponential sums with the Fermat-like quotients fg(n) = gn−1 − 1 n and hg(n) = gn−1 − 1 P (n) , where g and n are positive integers, n is composite, and P (n) is the largest prime factor of n. Clearly, both fg(n) and hg(n) are integers if n is a Fermat pseudoprime to base g, and this is true for all g coprime to n when for any Carmichael number n. On the other hand, our bounds imply...

--avs subject classification (1980): 05 C 65, 05 C 35; 05 B 25 Let 3f be a family of r-subsets of a finite set X. Set D(/{):max|{E: xQE€lf,}|, (maximum degree). We say that 3/f, is intersecting if for any H, H,€;( .we Itave _H ) E, #0. In this case, obuiő".rí, ottj=tcfÍh. According to a well-known conjec1ule D9r)=|ű.|l(r-|*1lr). We proveísügiítiíströnger result .Let /f, beanr-uniform, intersect...

Underground flow paths (UFP) often play an important role in the illustration of geological data by geologists, especially illustrating and revealing stratigraphic structures, which can help domain experts their exploration petroleum information. In this paper, we present a new immersive visualization tool to better illustrate data. We use method based on bit-array-based 3-D texture represent O...

We develop and analyze multilevel methods for nonuniformly elliptic operators whose ellipticity holds in a weighted Sobolev space with an A2–Muckenhoupt weight. Using the so-called Xu-Zikatanov (XZ) identity, we derive a nearly uniform convergence result under the assumption that the underlying mesh is quasi-uniform. As an application we also consider the socalled α-harmonic extension to locali...

This paper is mainly to deal with the problem of direction of arrival (DOA) estimations of multiple narrow-band sources impinging on a uniform linear array under impulsive noise environments. By modeling the impulsive noise as -stable distribution, new methods which combine the sparse signal representation technique and fractional lower order statistics theory are proposed. In the new algorithm...

The predator-prey relationship is generally size-specific in the pelagic food webs. Phytoplankton cell size structure can provide information on successive levels of consumers and therefore energy that flow towards top consumers. This work focuses phytoplankton a coastal lagoon (Cabras Lagoon, Italy) considered one most important for fishing productivity Mediterranean. inter-annual seasonal dyn...