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  • 1
    Electronic Resource
    Electronic Resource
    Neighborhood preferences in random matching problems (2001)
    Springer
    The European physical journal 22 (2001), S. 229-237 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 75.10.Nr Spin-glass and other random models – 02.60.Pn Numerical optimization
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We consider a class of random matching problems where the distance between two points has a probability law which, for a small distance l, goes like lr. In the framework of the cavity method, in the limit of an infinite number of points, we derive equations for pk, the probability for some given point to be matched to its kth nearest neighbor in the optimal configuration. These equations are solved in two limiting cases: r = 0 -- where we recover p k = 1/2k, as numerically conjectured by Houdayer et al. and recently rigorously proved by Aldous -- and r→ + ∞. For 0 〈 r 〈 + ∞, we are not able to solve the equations analytically, but we compute the leading behavior of pk for large k.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/PL00011144
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  • 2
    Electronic Resource
    Electronic Resource
    On the finite size corrections to some random matching problems (2002)
    Springer
    The European physical journal 29 (2002), S. 457-468 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 75.10.Nr Spin-glass and other random models – 02.60.Pn Numerical optimization
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We get back to the computation of the leading finite size corrections to some random link matching problems, first adressed by Mézard and Parisi [J. Phys. France 48, 1451 (1987)]. In the so-called bipartite case, their result is in contradiction with subsequent works. We show that they made some mistakes, and correcting them, we get the expected result. In the non bipartite case, we agree with their result but push the analytical treatment further.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1140/epjb/e2002-00326-3
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  • 3
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    High-resolution magnetic stratigraphy at Bosso Stirpeto (Marche, Italy): Anomalous geomagnetic field behaviour during early Pliensbachian (early Jurassic) times? (2007)
    Elsevier
    Details
    Publication Date: 2017-04-04
    Description: We report on a high-resolution magnetostratigraphic analysis of a continuous 97.5 m thick upper Sinemurian–Pliensbachian pelagic limestone section (“Corniola” formation) exposed at Bosso Stirpeto (Marche, Italy), where detailed ammonite and calcareous nannofossil biozonation is available. The early Pliensbachian (Carixian) is notably expanded (74.35 m excluding few slumps), implying an average sedimentation rate of 28.6 m/Myr. Both the Carixian boundaries and three additional intra-Carixian ammonite zone boundaries are tied up with polarity magnetozones. We find that a normal polarity characterizes the latest Sinemurian and Sinemurian/Carixian boundary, while a reverse polarity (punctuated by three short normal polarity magnetozones) dominates the Carixian. In the lower Carixian sediments, two 3.39–4.65 m thick (excluding the slumps) intervals are characterized by persistent transitional (between 45°N and 45°S) virtual geomagnetic pole (VGP) latitudes, but this seems not to be the result of mineral magnetic artefacts, antipodal polarity averaging, or sedimentary layer disturbance. Thus we suggest that in two ∼120 and 160 kyr-long time intervals during the early Carixian, the VGPs were predominantly confined at tropical–equatorial latitudes of the Earth. Such geomagnetic feature has never been documented before elsewhere in other time intervals, and requires further paleomagnetic investigation of other expanded Carixian section to be confirmed. The magnetic polarity profile (including the transitional direction intervals) of Bosso Stirpeto may compare with that from similarly expanded Carixian sections (Breggia, Switzerland), and cores (Montcornet, Paris basin). However, the matching of magnetic polarity zones requires a significant aging of some parts of the magnetostratigraphic profile at both Breggia and Montcornet.
    Description: Published
    Description: 344-359
    Description: 3.4. Geomagnetismo
    Description: JCR Journal
    Description: reserved
    Keywords: magnetostratigraphy ; Pliensbachian ; Carixian ; Corniola formation ; geomagnetic field ; Bosso valley ; 04. Solid Earth::04.05. Geomagnetism::04.05.06. Paleomagnetism
    Repository Name: Istituto Nazionale di Geofisica e Vulcanologia (INGV)
    Type: article
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