1,294 research outputs found

    Non-commutative desingularization of determinantal varieties, I

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    We show that determinantal varieties defined by maximal minors of a generic matrix have a non-commutative desingularization, in that we construct a maximal Cohen-Macaulay module over such a variety whose endomorphism ring is Cohen-Macaulay and has finite global dimension. In the case of the determinant of a square matrix, this gives a non-commutative crepant resolution.Comment: 52 pages, 3 figures, all comments welcom

    Coupled-channels analysis of the 16^{{\bf 16}}O+208^{{\bf 208}}Pb fusion barrier distribution

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    Analyses using simplified coupled-channels models have been unable to describe the shape of the previously measured fusion barrier distribution for the doubly magic 16^{16}O+208^{208}Pb system. This problem was investigated by re-measuring the fission excitation function for 16^{16}O+208^{208}Pb with improved accuracy and performing more exact coupled-channels calculations, avoiding the constant-coupling and first-order coupling approximations often used in simplified analyses. Couplings to the single- and 2-phonon states of 208^{208}Pb, correctly taking into account the excitation energy and the phonon character of these states, particle transfers, and the effects of varying the diffuseness of the nuclear potential, were all explored. However, in contrast to other recent analyses of precise fusion data, no satisfactory simultaneous description of the shape of the experimental barrier distribution and the fusion cross-sections for 16^{16}O+208^{208}Pb was obtained.Comment: RevTex, 29 pages, 7 postscript figures, to appear in PR

    Strong fragmentation of low-energy electromagnetic excitation strength in 117^{117}Sn

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    Results of nuclear resonance fluorescence experiments on 117^{117}Sn are reported. More than 50 γ\gamma transitions with Eγ<4E_{\gamma} < 4 MeV were detected indicating a strong fragmentation of the electromagnetic excitation strength. For the first time microscopic calculations making use of a complete configuration space for low-lying states are performed in heavy odd-mass spherical nuclei. The theoretical predictions are in good agreement with the data. It is concluded that although the E1 transitions are the strongest ones also M1 and E2 decays contribute substantially to the observed spectra. In contrast to the neighboring even 116124^{116-124}Sn, in 117^{117}Sn the 11^- component of the two-phonon [21+31][2^+_1 \otimes 3^-_1] quintuplet built on top of the 1/2+^+ ground state is proved to be strongly fragmented.Comment: 4 pages, 3 figure

    Effective charge of the [pi]h11/2 orbital and the electric field gradient of Hg from the yrast structure of 206Hg

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    The γ-ray decay of excited states of the two-proton hole nucleus, 206Hg, has been identified using Gammasphere and 208Pb+238U collisions. The yrast states found include a T1/2 = 92(8)ns 10+ isomer located above the known 5- isomer. The B(E2;10+→8+) strength is used to derive the quadrupole polarization charge induced by the h11/2 proton hole. Also, the implied quadrupole moment has been used to provide an absolute scale for the electric field gradient of Hg in Hg metal

    Spatial representation of temporal information through spike timing dependent plasticity

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    We suggest a mechanism based on spike time dependent plasticity (STDP) of synapses to store, retrieve and predict temporal sequences. The mechanism is demonstrated in a model system of simplified integrate-and-fire type neurons densely connected by STDP synapses. All synapses are modified according to the so-called normal STDP rule observed in various real biological synapses. After conditioning through repeated input of a limited number of of temporal sequences the system is able to complete the temporal sequence upon receiving the input of a fraction of them. This is an example of effective unsupervised learning in an biologically realistic system. We investigate the dependence of learning success on entrainment time, system size and presence of noise. Possible applications include learning of motor sequences, recognition and prediction of temporal sensory information in the visual as well as the auditory system and late processing in the olfactory system of insects.Comment: 13 pages, 14 figures, completely revised and augmented versio
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