Fractional Lévy Processes as a Result of Compact Interval Integral Transformation

Fractional Brownian motion can be represented as an integral of a deterministic kernel w.r.t. an ordinary Brownian motion either on infinite or compact interval. In previous literature fractional Lévy processes are defined by integrating the infinite interval kernel w.r.t. a general Lévy process. In this article we define fractional Lévy processes using the com pact interval representation.

We prove that the fractional Lévy processes presented via different integral transformations have the same finite dimensional distributions if and only if they are fractional Brownian motions. Also, we present relations between different fractional Lévy processes and analyze the properties of such processes. A financial example is introduced as well.     

On spaces which are linearly D

We introduce a generalization of D-spaces, which we call linearly D-spaces. The following results are obtained for a T₁-space X.

– X is linearly Lindelöf if, and only if, X is a linearly D-space of countable extent.

– X is linearly D provided that X is submetaLindelöf.

– X is linearly D provided that X is the union of finitely many linearly D-subspaces.

– X is compact provided that X is countably compact and X is the union of countably many linearly D-subspaces.

Distributed termination on a ring

The termination detection problem of a distributed computation has gained considerable interest recently. In this paper two symmetric solutions to this problem are presented in the special case, where the distributed computation is performed by a ring of processes. We shall discuss the problem in terms of processes communicating via shared variables instead of messages.     

A topological characterization of (λ, μ)*-compactness

Makowsky and Shelah have defined the concept of (λ, μ)^*-compactness of a logic. This notion is shown to be equivalent to the topological (λ, μ)-compactness of the model spaces of the logic. Combining this characterization with a theorem of Alexandroff and Urysohn gives a result about (λ, μ)^*-compactness as a corollary.     

Fiber fractions from processing of barley in production and conservation of a biologic control agent

Carriers are frequently used to overcome problems associated with microbial survival in soil after inoculation. Moreover, the use of carriers can prolong the shelf lives and lessen dusting of both biofungicides and biologic fertilizers. This study investigated the suitability of barley-based fiber fractions as growth media and immobilization matrices in the cultivation of a Streptomyces griseoviridis biologic control agent, as well as for the conservation of obtained biomass in dehydrated hydrogel capsules. The second main ingredient in all the examined carrier matrices was alginate. The aim was to find a hydrogel formulation suited for a production process in which all individual steps, including cultivation of the organism; downstream processing; and formulation, storage, and application of the product (i.e., biologic control agent), are carried out in the hydrogel matrix. Of the tested fractions, brewer’s spent grain was the best choice, when considering the price vs the nutrient contents as well as the storage time and ease of processing of the crude and the finished products. It seems that cereal fibers can be replenished with cereal fractions less rich in fiber but having a higher content of utilizable nutrients and, hence, better suited for the production of biomass. A high content of water-insoluble fiber favorably influenced the appearance as well as the applicability of the products.     

Die Bestimmung des Schwefelgehalts der Hefe

Ohne Zusammenfassung     

Thermopower induced by a supercurrent in superconductor-normal-metal structures

We examine the thermopower Q of a mesoscopic normal-metal (N) wire in contact with superconducting (S) segments and show that even with electron-hole symmetry Q may become finite due to the presence of supercurrents. Moreover, we show how the dominant part of Q can be directly related to the equilibrium supercurrents in the structure. In general, a finite thermopower appears both between the N reservoirs and the superconductors and between the N reservoirs themselves. The latter, however, strongly depends on the geometrical symmetry of the structure.