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This work introduces a novel extension of the 0/1 Knapsack Problem in which we consider the existence of so-called forfeit sets. A forfeit set is a subset of items of arbitrary cardinality, such that including a number of its elements that exceeds a predefined allowance threshold implies some… |
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A model consisting of a kinetic equation for \run-and-tumble" biased bacteria motion,
coupled with two reaction-diusion equations for chemical signals, is studied. It displays time-
asymptotic propagation at constant velocity, i.e., aggregated travelling (exponential) layers. To
capture them for… |
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Abstract. One-dimensional electronic conduction is investigated in a special case usually referred to as the harmonic crystal, meaning essentially that atoms are assumed to move like coupled harmonic oscillators within the BornOppenheimer approximation. We recall their dispersion relation and… |
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Small amounts of liquid deposited on a substrate are an everyday phenomenon. From a
theoretical point of view this represents a modelling challenge, due to the multiple scales
involved: from the molecular interactions among the three phases (solid substrate, liquid
film and surrounding vapor) to… |
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We investigate the scattering of a spinning test particle by a Kerr black hole within the Mathisson-Papapetrou-Dixon model to linear order in spin. The particle's spin and orbital angular momentum are taken to be aligned with the black hole's spin. Both the particle's mass and spin length are… |
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In this paper the author gives a new proof to evaluate the convergence of a collocation method for the Abel integral equations of the first kind. |
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This work presents the results of a quantitative analysis of an interferometric SAR (InSAR) Digital Elevation Model (DEM), obtained by the Shuttle Radar Topography Mission (SRTM). The analysis aims to identify additional parameters to recognize areas in southern Italy with different tectonic… |
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Colorectal cancer is among the leading causes of cancer death worldwide. Despite numerous molecular characterizations of the phenomenon, the exact dynamics of its onset and progression remain elusive. Colorectal cancer onset has been characterized by changes in DNA methylation profiles, that, owing… |
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A comprehensive approach to Sobolev-type embeddings, involving arbitrary rearrangement-invariant norms on the entire Euclidean space R^n, is offered. In particular, the optimal target space in any such embedding is exhibited. Crucial in our analysis is a new reduction principle for the relevant… |
