1,721,762 research outputs found

    Scale-free percolation mixing time

    Full text link
    Assign to each vertex of the one-dimensional torus i.i.d. weights with a heavy-tail of index τ−1>0. Connect then each couple of vertices with probability roughly proportional to the product of their weights and that decays polynomially with exponent α>0 in their distance. The resulting graph is called scale-free percolation. The goal of this work is to study the mixing time of the simple random walk on this structure. We depict a rich phase diagram in α and τ. In particular we prove that the presence of hubs can speed up the mixing of the chain. We use different techniques for each phase, the most interesting of which is a bootstrap procedure to reduce the model from a phase where the degrees have bounded averages to a setting with unbounded averages.Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.Applied Probabilit

    The aluminum and iron mines of the Comino Valley-Sora area (Central Apennines, Italy). Sites of the geological memory

    Full text link
    The Mesozoic bauxitic-limonitic deposits of the Comino ValleySora area have been exploited since proto-historic times, but this area became crucial for the "iron rush" in the Bourbon era. The Kingdom of Naples decided to finance scientific researches in the area between Pescosolido and Picinisco (southeastern Lazio), in order to strengthen military defenses and to combat invasive or rebellious pressures. This led to the realization, in the period between 1770 and 1860, of the Royal Mines of Canneto, San Donato Val di Comino and Campoli Appennino, and of the Royal Forges of Canneto and Rosanisco. Fundamental was the supervision of technicians, including the engineer and geologist Gaetano Tenore. Following the Bourbon crisis of 1860, the industrial activity of the area was abandoned with, in many cases, its definitive loss of evidence (e.g. many of the mines of Campoli and San Donato Val di Comino, as well as the Canneto forge). The geological relevance of the mineralogical and stratigraphic studies performed in this area (with their socio-cultural and economic implication), coupled with the fact that most of this geological heritage is disappearing, allowed to identify several "sites of geological memory" in this area

    Going Beyond Counting First Authors in Author Co-citation Analysis

    Full text link
    The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed

    Esiliati, patrioti e mediatori culturali: i gesuiti spagnoli espulsi nell’Italia di fine Settecento

    No full text
    Il saggio ripercorre le molteplici attività di mediazione culturale svolte dai gesuiti spagnoli espulsi durante il loro esilio italiano (1767-1815)
    corecore