Different extentons of an isomorphism theorem of Dynkin are developed and are used to study two distinct but related families of functionals of Lévy processes; n-fold “near-intersections” of a single Lévy process, which is also referred to as a self-intersection local time, and continuous additive functionals of several independent Lévy processes. Intersection local times for n independent Lévy...

Although information content is invariant up to an additive constant, the range of possible additive constants applicable to programming languages is so large that in practice it plays a major role in the actual evaluation of K(s), the Kolmogorov-Chaitin complexity of a string s. Some attempts have been made to arrive at a framework stable enough for a concrete definition of K, independent of a...

Abstract The paper presents a study of the current state autoclaved aerated concrete production. Global trends market confirm tendency to reduce density wall blocks from 400–500 kg/m 3 300–350 . At same time their strength level is required be maintained. search for inexpensive and available local effective pozzolanic additives may increase economic ecological attractiveness AAC performed studi...

Abstract. It is well known (and a result of Goodman) that a random 2-colouring of the edges of a large complete graph Kn contains asymptotically (in n) the minimum number of monochromatic triangles (K3s). Erdős conjectured that a random 2-colouring also minimises the number of monochromatic K4s, but his conjecture was disproved by Thomason in 1989. The question of determining for which small gr...

In this note we study several ways of turning a small category into a ringoid. We refer to such processes as linearisation, for lack of a better name. Although this material is very abstract, our main application is concrete: the category Mod(X) of sheaves of modules over a scheme X can be viewed as a localisation of a category of modules over a ringoid, very naturally constructed from the stru...

Noise is present in all image sensor data. Poisson distribution is said to model the stochastic nature of the photon arrival process, while it is common to approximate readout/thermal noise by additive white Gaussian noise (AWGN). Other sources of signal-dependent noise such as Fano and quantization also contribute to the overall noise profile. Question remains, however, about how best to model...

The Transferable Belief approach to the Theory of Evidence is based on the pignistic transform which, mapping belief functions to probability distributions, allows to make “precise” decisions on a set of disjoint hypotheses via classical utility theory. In certain scenarios, however, such as medical diagnosis, the need for an “imprecise” approach to decision making arises, in which sets of poss...

Historically, the construction industry has exhibited slow technological development when compared to other industries. However, during last several years, investigations related automation in have been conducted, such as additive manufacturing concrete. This study aims delve into this topic, providing effective communication between BIM-designed elements and its concrete manufacturing, with he...

The paper presents results of tests on the effect addition fly ash (FA) in amounts 0%, 20%, and 30% by weight cement interfacial microcracks concrete composites subjected to dynamic loads. analyses were carried out based microstructural using a scanning electron microscope (SEM). average width (Wc) transition zone (ITZ) coarse aggregate with matrix was evaluated. During studies beneficial FA re...

Application of automation in construction work has now become need the hour. Automation can be done by implementing a technique known as additive manufacturing technique. Use sector potential to bring fourth industrial revolution using 3D concrete printers. This paper is based ona parametric experimental study evaluate effect Polypropylene (PP) fibers on mechanical properties printable concrete...