5,399 research outputs found

    A stochastic sewing lemma and applications

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    We introduce a stochastic version of Gubinelli's sewing lemma, providing a sufficient condition for the convergence in moments of some random Riemann sums. Compared with the deterministic sewing lemma, adaptiveness is required and the regularity restriction is improved by a half. The limiting process exhibits a Doob-Meyer-type decomposition. Relations with It\^o calculus are established. To illustrate further potential applications, we use the stochastic sewing lemma in studying stochastic differential equations driven by Brownian motions or fractional Brownian motions with irregulardrifts.Comment: final version, to appear on EJ

    Isovector deformation and its link to the neutron shell closure

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    DWBA analysis of the inelastic 3040^{30-40}S(p,p)(p,p') and 1822^{18-22}O(p,p)(p,p') scattering data measured in the inverse kinematics has been performed to determine the isoscalar (δ0\delta_0) and isovector (δ1\delta_1) deformation lengths of the 21+^+_1 excitations in the Sulfur and Oxygen isotopes using a compact folding approach. A systematic NN-dependence of δ0\delta_0 and δ1\delta_1 has been established which shows a link between δ1\delta_1 and the neutron-shell closure. Strong isovector deformations were found in several cases, e.g., the 21+^+_1 state in 20^{20}O where δ1\delta_1 is nearly three times larger than δ0\delta_0. These results confirm the relation δ1>δ0\delta_1>\delta_0 anticipated from the core polarization by the valence neutrons in the open-shell (neutron rich) nuclei. The effect of neutron shell closure at N=14 or 16 has been discussed based on the folding model analysis of the inelastic 22^{22}O+pp scattering data at 46.6 MeV/u measured recently at GANIL.Comment: Talk given at RNB7 conference (Cortina d'Ampezzo, Italy, July 3-7, 2006); 4 pages, 4 figures, to appear in Eur. Phys. Journal