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  • 1
    Publication Date: 2015-02-01
    Description: We study the distribution of periodic points for a wide class of maps, namely entire transcendental functions of finite order and with bounded set of singular values, or compositions thereof. Fix $p\in {{\mathbb N}}$ and assume that all dynamic rays which are invariant under $f^p$ land. An interior $p$ -periodic point is a fixed point of $f^p$ which is not the landing point of any periodic ray invariant under $f^p$ . Points belonging to attracting, Siegel or Cremer cycles are examples of interior periodic points. For functions as above, we show that rays which are invariant under $f^p$ , together with their landing points, separate the plane into finitely many regions, each containing exactly one interior $p$ -periodic point or one parabolic immediate basin invariant under $f^p$ . This result generalizes the Goldberg–Milnor Separation Theorem for polynomials, and has several corollaries. It follows, for example, that two periodic Fatou components can always be separated by a pair of periodic rays landing together; that there cannot be Cremer points on the boundary of Siegel disks; that ‘hidden components’ of a bounded Siegel disk have to be either wandering domains or preperiodic to the Siegel disk itself; or that there are only finitely many non-repelling cycles of any given period, regardless of the number of singular values.
    Print ISSN: 0024-6115
    Electronic ISSN: 1460-244X
    Topics: Mathematics
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  • 2
  • 3
    Publication Date: 2020-12-09
    Description: We present and discuss data from petrographic observation at the optical microscope, electron microprobe analyses on selected glass shards, and trace-element analyses on 14 mortar aggregates collected at the ancient harbors and other maritime structures of Latium and Campania, spanning the third century BCE through the second CE, aimed at identify the volcanic products employed in the concretes and their area of exploitation. According to Latin author Vitruvius assertion about the ubiquitous use of Campanian pozzolan in the ancient Roman sea-water concretes, results of this study show a very selective and homogeneous choice in the material employed to produce the concretes for the different investigated maritime structures, evidencing three main pumice compositions, all corresponding to those of the products of the post-Neapolitan Yellow Tuff activity of the Phlegraean Fields, and a systematic use of the local Neapolitan Yellow Tuff to produce the coarse aggregate of these concretes. However, mixing with local products of the Colli Albani volcanic district, located 20 km east of Rome, has been evidenced at two fishponds of Latium, in Punta della Vipera and Torre Astura. Based on these petrographic and geochemical data, we conclude that the selective use of pozzolan from Campania, rather than of unproved different chemical properties, was the consequence of a series of logistic, economic, industrial and historical reasons.
    Description: Published
    Description: 59-69
    Description: 2SR. VULCANI - Servizi e ricerca per la Società
    Description: JCR Journal
    Keywords: Geochemistry of volcanic rocksTrace-element analysesEMP glass analysesAncient Roman mortarsMaritime constructionSea-water concretesMaterial provenance
    Repository Name: Istituto Nazionale di Geofisica e Vulcanologia (INGV)
    Type: article
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  • 4
    Publication Date: 2021-07-14
    Description: The coasts of Italy still preserve several remnants of coastal quarries built in antiquity, that now provide insights into the intervening sea-level changes occurred during the last millennia. In this paper, we show and discuss a new class of sea level indicator consisting of millstones carved along the rocky coast of southern Italy since 2500 BP, that are currently submerged. They were extracted from beachrocks, sandstones or similar sedimentary rocks, easier for carving by ancient carving tools. Our study focuses on 10 coastal sites located at Capo d’Orlando, Avola, and Letojanni, in Sicily; Soverato, Tropea, and Capo dell’Armi, in Calabria; Castellabate, Palinuro, and Scario, in Campania; and Polignano San Vito, in Apulia. Unfortunately, only limited archaeological information is available for these anthropic structures. Scario, one of these millstone quarries discussed here, has been dated through independent archaeological remains, allowing us to restrict the exploitation age to the end of XVII century. Present day elevations of these coastal sites were obtained through geo-archaeological surveys calibrated using the nearest tidal stations, together with geomorphological and tectonic interpretations. Data were compared against the latest sea level predictions based on glacio-hydro-isostatic models. Our results allow proposal of the age-range of these millstone quarries and to estimate the intervening relative sea level changes since the time when they were carved.
    Description: Published
    Description: 126-142
    Description: 3A. Ambiente Marino
    Description: JCR Journal
    Description: restricted
    Keywords: Mediterranean sea, Archaeology, sea level ; 04. Solid Earth::04.04. Geology::04.04.04. Marine geology
    Repository Name: Istituto Nazionale di Geofisica e Vulcanologia (INGV)
    Type: article
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  • 5
    Publication Date: 2017-04-04
    Description: Calabria is one of the most complex regions of the Mediterranean basin, which experienced large earthquakes and uplift and is still undergoing to active tectonics. Along its coasts, are located several archaeological sites of roman and pre-roman age, that can be used as powerful indicators of the relative vertical movements between land and sea since their construction. In this paper we show and discuss data on the relative sea-level change as estimated from maritime archaeological indicators of the last ~2.3 ka BP existing along the Tyrrhenian and Ionian coasts of Calabria.
    Description: Published
    Description: 3A. Ambiente Marino
    Description: JCR Journal
    Description: open
    Keywords: sea level change ; archeological sites ; 03. Hydrosphere::03.03. Physical::03.03.01. Air/water/earth interactions
    Repository Name: Istituto Nazionale di Geofisica e Vulcanologia (INGV)
    Type: article
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