Institution
École normale supérieure de Cachan
Education•Cachan, Île-de-France, France•
About: École normale supérieure de Cachan is a education organization based out in Cachan, Île-de-France, France. It is known for research contribution in the topics: Decidability & Nonlinear system. The organization has 2717 authors who have published 5585 publications receiving 175925 citations.
Papers published on a yearly basis
Papers
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TL;DR: A series of octupolar molecules derived from the boroxine framework were designed and their optical nonlinearities were investigated by performing harmonic light scattering experiments in solution; the molecules were found to combine excellent transparency in the near UV-visible region (λmax======≤ 280 nm) and significant first-order hyperpolarisabilities (up to β(0)======= 56 × 10−30 esu) as discussed by the authors.
62 citations
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TL;DR: It is shown that for a general class of spiking neuron models, which includes the leaky integrate-and-fire model as well as nonlinear spiking models, aperiodic currents, contrary to periodic currents, induce reproducible responses, which are stable under noise, change in initial conditions and deterministic perturbations of the input.
Abstract: The responses of neurons to time-varying injected currents are reproducible on a trial-by-trial basis in vitro, but when a constant current is injected, small variances in interspike intervals across trials add up, eventually leading to a high variance in spike timing. It is unclear whether this difference is due to the nature of the input currents or the intrinsic properties of the neurons. Neuron responses can fail to be reproducible in two ways: dynamical noise can accumulate over time and lead to a desynchronization over trials, or several stable responses can exist, depending on the initial condition. Here we show, through simulations and theoretical considerations, that for a general class of spiking neuron models, which includes, in particular, the leaky integrate-and-fire model as well as nonlinear spiking models, aperiodic currents, contrary to periodic currents, induce reproducible responses, which are stable under noise, change in initial conditions and deterministic perturbations of the input. We provide a theoretical explanation for aperiodic currents that cross the threshold.
62 citations
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TL;DR: In this paper, a priori stability estimates for the spatially homogeneous Boltzmann equation without angular cutoff (covering all physical collision kernels) were obtained for a class of interactions including hard potentials and moderately soft potentials.
Abstract: In this paper, we prove some a priori stability estimates (in weighted Sobolev spaces) for the spatially homogeneous Boltzmann equation without angular cutoff (covering all physical collision kernels). These estimates are conditional on some regularity estimates on the solutions, and therefore reduce the stability and uniqueness issue to one of proving suitable regularity bounds on the solutions. We then prove such regularity bounds for a class of interactions including the so-called (non-cutoff and non-mollified) hard potentials and moderately soft potentials. In particular, we obtain the first result of global existence and uniqueness for these long-range interactions.
62 citations
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TL;DR: A new series of distyryl-B ODIPY has been rationally designed and synthesised from a novel fluorinated platform, 8-pentafluorophenylBODIPY, which has enhanced reactivity in the presence of both electron rich, and for the first time, electron deficient aldehydes.
Abstract: A new series of distyryl-BODIPY has been rationally designed and synthesised from a novel fluorinated platform, 8-pentafluorophenylBODIPY, which has enhanced reactivity in the presence of both electron rich, and for the first time, electron deficient aldehydes. The pentafluorobenzene leads to larger red shifts of absorption and emission compared to previously reported analogues. The reactivity and spectroscopic results have been rationalised with quantum mechanics calculation. The fluorescence sensitivity of one derivative to acidity is also presented.
62 citations
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TL;DR: Inspired by the theory of modified equations (backward error analysis), a new approach to high-order, structure-preserving numerical integrators for ordinary differential equations is developed, illustrated with the implicit midpoint rule applied to the full dynamics of the free rigid body.
Abstract: Inspired by the theory of modified equations (backward error analysis), a new approach to high-order, structure-preserving numerical integrators for ordinary differential equations is developed. This approach is illustrated with the implicit midpoint rule applied to the full dynamics of the free rigid body. Special attention is paid to methods represented as B-series, for which explicit formulae for the modified differential equation are given. A new composition law on B-series, called substitution law, is presented.
62 citations
Authors
Showing all 2722 results
Name | H-index | Papers | Citations |
---|---|---|---|
Shi Xue Dou | 122 | 2028 | 74031 |
Olivier Hermine | 111 | 1026 | 43779 |
John R. Reynolds | 105 | 607 | 50027 |
Shaul Mukamel | 95 | 1030 | 40478 |
Tomás Torres | 88 | 625 | 28223 |
Ifor D. W. Samuel | 74 | 605 | 23151 |
Serge Abiteboul | 73 | 278 | 24576 |
Stéphane Roux | 68 | 627 | 19123 |
Zeger Debyser | 67 | 404 | 16531 |
Louis Nadjo | 64 | 264 | 12596 |
Praveen K. Thallapally | 64 | 190 | 12110 |
Andrew Travers | 63 | 193 | 13537 |
Shoji Takeuchi | 63 | 692 | 14704 |
Bineta Keita | 63 | 274 | 12053 |
Yves Mély | 62 | 368 | 13478 |