On the derivability, with respect to initial data, of the solution of a stochastic differential equation with lipschitz coeffcients

International audienceWe consider a stochastic differential equation, driven by a Brownian motion, with Lipschitz coefficients. We prove that the corresponding flow is, almost surely, almost everywhere derivable with respect to the initial data for any time, and the process defined by the Jacobian matrices is a GLn(R)-valued continuous solution of a linear stochastic differential equation. In dimension one, this process is given by an explicit formula. These results partially extend those which are known when the coefficients are C-1-alpha-Holder continuous. Dirichlet forms are involved in the proofs

Carnian-Rhaetian Conodonts from SW Japan

Vengono descritti in questo articolo conodonti provenienti dai calcari pelagici del Carnico terminale - Norico medio e dalle selci stratificate del Norico superiore - Retico della sezione di Hisaidani, Chichibu Belt meridionale, Shikoku, Giappone sudoccidentale. Viene discussa la tassonomia dei generi Metapolygnatbus Hayashi, Ancyrogondolella Budurov, Mockina Kozur e Misikella Kozur & Mock. Sono proposte tre nuove specie: Mockina sakurae n. sp. e M. shamiseni n. sp. del Norico medio e M. hisaidaniensis n. sp. del Norico superiore. L'affinità della fauna di Hisaidani è abbastanza orientata in senso tetidiano. L'associazione a conodonti di età Norica inferiore e media è dominata da Ancyrogondolella spatulata (Hayashi), mentre verso I'alto, nel Norico medio e superiore sono presenti taxa della provincia pacifica. La presenza di tre nuove specie suggerisce anche un provincialismo che caratterizza la situazione pre-accrezione del plateau Izanami da cui derivano le successioni rocciose di Hisaidani.Conodonts from the latest Carnian - Middle Norian pelagic limestone and Late Norian - Rhaetian bedded chert-section at Hisaidani, southern Chichibu Belt, Shikoku, SW Japan, are described. Taxonomy of conodont-genera Metapolygnathus Hayashi, Ancyrogondolella Budurov, Mockina Kozur and Misikella Kozur & Mock is discussed. Middle Norian Mockina sakurae n. sp., M. shamiseni n. sp. and Late Norian M. hisaidaniensis n. sp. are described. The affinities of the Hisaidani - fauna are rather Tethyan. The Early - Middle Norian conodont-association at Hisaidani is dominated by Ancyrogondolella spatulata (Hayashi). Towards the Middle and Late Norian, affinities with Pacific taxa are present. The three new species provide also a provincial character that typifies the pre-accretionary Izanami plateau from which the rocks of Hisaidani were derived

TAXONOMY AND FAUNAL AFFINITY OF LATE CARNIAN ­ RHAETIAN CONODONTS IN THE SOUTHERN CHICHIBU BELT, SHIKOKU, SW JAPAN

Conodonts from the latest Carnian - Middle Norian pelagic limestone and Late Norian - Rhaetian bedded chert-section at Hisaidani, southern Chichibu Belt, Shikoku, SW Japan, are described. Taxonomy of conodont-genera Metapolygnathus Hayashi, Ancyrogondolella Budurov, MockinaKozur and Misikella Kozur & Mock is discussed. Middle Norian Mockina sakurae n. sp., M. shamiseni n. sp. and Late Norian M. hisaidaniensisn. sp. are described.The affinities of the Hisaidani - fauna are rather Tethyan. The Early - Middle Norian conodont-association at Hisaidani is dominated by Ancyrogondolella spatulata (Hayashi). Towards the Middle and Late Norian, affinities with Pacific taxa are present. The three new species provide also a provincial character that typifies the pre-accretionary Izanami plateau from which the rocks of Hisaidani were derived.&nbsp

Izanami Plateau : Japan's Triassic low latitude carbonates

The Izanami plateau is the oceanic origin of Triassic pelagic limestones in Jurassic and Early Cretaceous accretionary complexes (AC) of Japan. Well dated by conodonts and radiolarians, the Triassic ocean type carbonate plateau, from where blocks, in the Mino-Tamba (Ashio), Mikabu and Chichibu belts, are derived, has a characteristic history of deposition related to seamount, hot-spot and plate-motion. The Izanami plateau is characterized by the changing nature of its substrate, from Paleozoic platform carbonates in more internal areas, to pillow basalts in more external zones, and by the younging of the base of the Triassic carbonates covering that substrate. In the more internal zones, depositional hiatuses relate to post - Aegean and Early Carnian emersions. Lower - Middle Norian condensation preceded the drowning of the platform in the more external zones, where Late Norian and Rhaetian strata consist of bedded chert only. Faunistically, the realm of the Izanami plateau has more Tethyan than Pacific conodont affinities with some specific endemism. The low latitude Izanami plateau extended over a large area, off the Yangtse block, prior to its inclusion in Jurassic to Early Cretaceous AC