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41.
Alain Lascoux Jean-Christophe Novelli Jean-Yves Thibon 《Journal of Algebraic Combinatorics》2013,37(4):621-642
We define new families of noncommutative symmetric functions and quasi-symmetric functions depending on two matrices of parameters, and more generally on parameters associated with paths in a binary tree. Appropriate specializations of both matrices then give back the two-vector families of Hivert, Lascoux, and Thibon and the noncommutative Macdonald functions of Bergeron and Zabrocki. 相似文献
42.
We prove convex ordering results for random vectors admitting a predictable representation in terms of a Brownian motion and
a non-necessarily independent jump component. Our method uses forward-backward stochastic calculus and extends the results
proved in Klein et al. (Electron J Probab 11(20):27, 2006) in the one-dimensional case. We also study a geometric interpretation of convex ordering for discrete measures in connection
with the conditions set on the jump heights and intensities of the considered processes.
The work described in this paper was partially supported by a grant from City University of Hong Kong (Project No. 7200108). 相似文献
43.
44.
Jalal Ghilane Pascal Martin Hyacinthe Randriamahazaka Jean-Christophe Lacroix 《Electrochemistry communications》2010,12(2):246-249
Electrochemical oxidation of primary amine in ionic liquid media has been investigated. The ionic liquid chosen for this study was 1-ethyl-3-methylimidazolium bis(trifluoromethylsulfonyl)imide. Two primary amine compounds are used for this study; 4-nitrobenzylamine and 2-aminoethylferrocenylmethylether. The oxidation of the amino compounds in ionic liquid conduces to the modification of the electrode surface. The modified electrodes were characterized by cyclic voltammetry and XPS analysis. Both techniques support the presence of an organic layer strongly attached onto the electrode surface. The surface concentration of the attached group obtained in this media was found to be around 1 to 3 × 10?10 mol cm?2. The use of ionic liquid as media for the grafting leads to decrease of the surface concentration of the grafted layer; and the formation of less dense layer compared with classical solvent such as acetonitrile. 相似文献
45.
Luís Santos Pascal Martin Jalal Ghilane Pierre-Camille Lacaze Hyacinthe Randriamahazaka Luisa Maria Abrantes Jean-Christophe Lacroix 《Electrochemistry communications》2010,12(7):872-875
The electrodeposition of poly(3,4-ethylenedioxythiophene) (PEDOT) films from aqueous surfactant solution through a two-dimensional poly(styrene) (PS) template onto indium tin oxide (ITO) substrate has been investigated. The polymer grows in the interstitial spaces of the self-assembled PS spheres which were subsequently removed by dissolution in tetrahydrofuran (THF). Surface characterization by scanning electron microscopy (SEM) and atomic force microscopy (AFM) reveals that two-dimensional nanoporous honeycomb PEDOT structures can easily be obtained by using PS spheres of different sizes. Gold electrodeposition onto the nanostructured PEDOT electrode was investigated and SEM images show preferential formation of nanoparticles (NP) on the wall and the rim of the PEDOT film but metal clusters inside the pores are also observed. 相似文献
46.
Zhao Z Bouchoule S Song J Galopin E Harmand JC Decobert J Aubin G Oudar JL 《Optics letters》2011,36(22):4377-4379
Near-transform-limited subpicosecond pulses at 1.56 μm were generated from an optically pumped InP-based vertical-external-cavity surface-emitting laser (VECSEL) passively mode-locked at 2 GHz repetition rate with a fast InGaAsNSb/GaAs semiconductor saturable absorber mirror (SESAM). The SESAM microcavity resonance was adjusted via a selective etching of phase layers specifically designed to control the magnitude of both the modulation depth and the intracavity group delay dispersion of the SESAM. Using the same VECSEL chip, we observed that the mode-locked pulse duration could be reduced from several picoseconds to less than 1 ps with a detuned resonant SESAM. 相似文献
47.
François Alouges Evaggelos Kritsikis Jutta Steiner Jean-Christophe Toussaint 《Numerische Mathematik》2014,128(3):407-430
In this paper, we propose a new scheme for the numerical integration of the Landau–Lifschitz–Gilbert (LLG) equations in their full complexity, in particular including stray-field interactions. The scheme is consistent up to order 2 (in time), and unconditionally stable. It combines a linear inner iteration with a non-linear renormalization stage for which a rigorous proof of convergence of the numerical solution toward a weak solution is given, when both space and time stepsizes tend to \(0\) . A numerical implementation of the scheme shows its performance on physically relevant test cases. We point out that to the knowledge of the authors this is the first finite element scheme for the LLG equations which enjoys such theoretical and practical properties. 相似文献
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50.
Jean-Christophe Aval 《Discrete Mathematics》2002,256(3):557-575
The aim of this work is to study some lattice diagram determinants ΔL(X,Y) as defined in (Adv. Math. 142 (1999) 244) and to extend results of Aval et al. (J. Combin. Theory Ser. A, to appear). We recall that ML denotes the space of all partial derivatives of ΔL. In this paper, we want to study the space Mi,jk(X,Y) which is defined as the sum of ML spaces where the lattice diagrams L are obtained by removing k cells from a given partition, these cells being in the “shadow” of a given cell (i,j) in a fixed Ferrers diagram. We obtain an upper bound for the dimension of the resulting space Mi,jk(X,Y), that we conjecture to be optimal. This dimension is a multiple of n! and thus we obtain a generalization of the n! conjecture. Moreover, these upper bounds associated to nice properties of some special symmetric differential operators (the “shift” operators) allow us to construct explicit bases in the case of one set of variables, i.e. for the subspace Mi,jk(X) consisting of elements of 0 Y-degree. 相似文献