Search results for "102"
showing 10 items of 2892 documents
Approximation and quasicontinuity of Besov and Triebel–Lizorkin functions
2016
We show that, for $0<s<1$, $0<p<\infty$, $0<q<\infty$, Haj\l asz-Besov and Haj\l asz-Triebel-Lizorkin functions can be approximated in the norm by discrete median convolutions. This allows us to show that, for these functions, the limit of medians, \[ \lim_{r\to 0}m_u^\gamma(B(x,r))=u^*(x), \] exists quasieverywhere and defines a quasicontinuous representative of $u$. The above limit exists quasieverywhere also for Haj\l asz functions $u\in M^{s,p}$, $0<s\le 1$, $0<p<\infty$, but approximation of $u$ in $M^{s,p}$ by discrete (median) convolutions is not in general possible.
Our Friend and Mathematician Karl Strambach
2020
This paper is dedicated to Karl Strambach on the occasion of his 80th birthday. Here we want to describe our work with Prof. Karl Strambach.
The Calderón problem for the fractional Schrödinger equation
2020
We show global uniqueness in an inverse problem for the fractional Schr\"odinger equation: an unknown potential in a bounded domain is uniquely determined by exterior measurements of solutions. We also show global uniqueness in the partial data problem where the measurements are taken in arbitrary open, possibly disjoint, subsets of the exterior. The results apply in any dimension $\geq 2$ and are based on a strong approximation property of the fractional equation that extends earlier work. This special feature of the nonlocal equation renders the analysis of related inverse problems radically different from the traditional Calder\'on problem.
El nuevo escenario del orden público en el arbitraje : comentario a la STC de España, Sala Primera, núm. 17/2021, de 15 de febrero.
2021
The Constitutional Court delimits the concept and scope of public order, the requirement to state the grounds and the judicial review within the framework of the action for annulment of arbitral awards. The Constitutional Court rejects the jurisprudential line of the High Court of Justice of Madrid regarding the broadening of the concept of public policy and prevents the review of the merits of the case through the action for annulment.
Machine learning for rapid mapping of archaeological structures made of dry stones – Example of burial monuments from the Khirgisuur culture, Mongoli…
2020
11 pages; International audience; The present study proposes a workflow to extract from orthomosaics the enormous amount of dry stones used by past societies to construct funeral complexes in the Mongolian steppes. Several different machine learning algorithms for binary pixel classification (i.e. stone vs non-stone) were evaluated. Input features were extracted from high-resolution orthomosaics and digital elevation models (both derived from aerial imaging). Comparative analysis used two colour spaces (RGB and HSV), texture features (contrast, homogeneity and entropy raster maps), and the topographic position index, combined with nine supervised learning algorithms (nearest centroid, naive…
Selinunte (Sicily) and its productive context: the clayey raw materials applied in a long-lived ceramic production (seventh to third century BCE)
2016
The westernmost of the Greek-Sicilian towns, Selinunte, founded in western Sicily during the second half of the seventh century BCE, gives amazing evidences of a historic activity of ceramic production (seventh to third century BCE). The present study aims to identify the raw materials available in the vicinity of the archaeological site of Selinunte, which were possibly used by the ancient potters, and to characterise them by means of petrographic and chemical techniques. A sampling campaign of clays and sands for tempering was undertaken in the archaeological site and the adjacent area. Moreover, locally produced archaeological bricks and tiles were considered helpful for comparison regar…
The role of fire within Neolithic collective burials: Spatial analyses of cremains from the site of La Truie Pendue, France
2016
International audience; The use of collective graves is one of the main features of the western European Late Neolithic. A single gravesite received the successive deposition of dozens or sometimes hundreds of individuals. While cremations or even full-fired inhumation layers are often found within these funerary deposits, the actual role of fire is still poorly understood. Recently discovered within the important archaeological complex of Passy (Yonne, France), the burned collective grave of La Truie-Pendue provides an outstanding case study to examine the use of fire within Neolithic funerary rites. In this study, we develop a new contextual approach to bone alterations in order to recons…
Early Bronze Age painted wares from Tell el-'Abd, Syria: A compositional and technological study
2018
Abstract The ‘Euphrates Monochrome Painted Ware’ (henceforth EMPW) is a ceramic style attested in the Middle Euphrates region in northern Syria at the beginning of the Early Bronze Age, ca. 2900–2700 BCE. This style is not an isolated phenomenon; rather, it must be understood in the context of a general, albeit short-lived, re-introduction of painted ceramics into local assemblages of Greater Mesopotamia. In the present study, we investigate the technology and provenance of the painted pottery from Tell el-'Abd (North Syria) and its relation to contemporary ceramics retrieved at this site. We apply a combination of macroscopic observations, ceramic petrography, and micro X-ray diffraction (…
Planning Punic cities: Geophysical prospection and the built environment at Motya, Sicily
2020
The urban plan of ancient Motya on the Isola di San Pantaleo on the west coast of Sicily and its relationship to developments in Phoenician and Punic societies have been investigated since the early 1960s. Data from geophysical surveys in the north-eastern quadrant of Motya show the regular organisation of urban insulae framed by two broad roads. These results, combined with data from previous nearby excavations, improve the modelling of Motya's layout, and contribute to the wider discussion of Phoenician/Punic and broader Mediterranean urban traditions between the sixth and fourth centuries BC.
Ensuring the Conservative Process: The Roman Walls of Lugo Maintenance Plan
2016
In 2000 the walls of Lugo were added to the World Heritage List. In the Spanish scenario of UNESCO Sites this is the only one provided with a maintenance plan, which properly defines times for inspections and interventions, tools for the collection and management of data, human and financial resources. This plan has begun to ensure a conservation process which guarantees that this ancient artefact is used efficiently and safely over time. The walls are fully accessible and because of the dominant ramparts are used by citizens as a beloved and frequently used city park. This article aims to describe the strategy and the conservation process put in place on the Roman walls to preserve and kee…