The Experts below are selected from a list of 4299 Experts worldwide ranked by ideXlab platform
Luc Lapointe - One of the best experts on this subject based on the ideXlab platform.
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a Recursion Formula for k schur functions
Journal of Combinatorial Theory Series A, 2009Co-Authors: Daniel Bravo, Luc LapointeAbstract:The Bernstein operators allow one to build recursively the Schur functions. We present a Recursion Formula for k-Schur functions at t=1 based on combinatorial operators that generalize the Bernstein operators. The Recursion leads immediately to a combinatorial interpretation for the expansion coefficients of k-Schur functions at t=1 in terms of homogeneous symmetric functions.
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a Recursion Formula for k schur functions
arXiv: Combinatorics, 2007Co-Authors: Daniel Bravo, Luc LapointeAbstract:The Bernstein operators allow to build recursively the Schur functions. We present a Recursion Formula for k-Schur functions at t=1 based on combinatorial operators that generalize the Bernstein operators. The Recursion leads immediately to a combinatorial interpretation for the expansion coefficients of k-Schur functions at t=1 in terms of homogeneous symmetric functions.
N. Regnault - One of the best experts on this subject based on the ideXlab platform.
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The Anatomy of Abelian and Non-Abelian Fractional Quantum Hall States
Physical Review Letters, 2009Co-Authors: B. Andrei Bernevig, N. RegnaultAbstract:We deduce a new set of symmetries and relations between the coefficients of the expansion of Abelian and Non-Abelian Fractional Quantum Hall (FQH) states in free (bosonic or fermionic) many-body states. Our rules allow to build an approximation of a FQH model state with an overlap increasing with growing system size (that may sometimes reach unity!) while using a fraction of the original Hilbert space. We prove these symmetries by deriving a previously unknown Recursion Formula for all the coefficients of the Slater expansion of the Laughlin, Read Rezayi and many other states (all Jacks multiplied by Vandermonde determinants), which completely removes the current need for diagonalization procedures.
Bin Han - One of the best experts on this subject based on the ideXlab platform.
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Recursion Formula for reflectance and the enhanced effect on the light group velocity control of the stratified and phase shifted volume index gratings
Optics Express, 2007Co-Authors: Guoquan Zhang, Weiyue Che, Bin HanAbstract:We derived a Recursion Formula for the reflectance of the stratified and phase-shifted volume index gratings. The characteristics of the reflectance spectra of the stratified and phase-shifted volume index gratings were studied based on the Recursion Formula. It is shown that narrow bandwidth transparency peaks appear within the stop-band of the reflectance spectrum of the volume index gratings due to the intervention of the homogeneous buffer layers that induce the phase-shifts between neighboring volume index gratings. The spectral positions of the transparency peaks can be shifted within the stop-band by controlling the phase-shift, i.e., the buffer layer thickness. The described properties may find applications in addressable band-pass filter, switching, wavelength division multiplexing, and de-multiplexing. The dispersion near the transparency peaks of the stratified and phase-shifted volume index grating is found to be sharply enhanced as compared to the uniform volume index gratings. Significantly enhanced control on the group velocity of light by several orders of magnitude while keeping high transmittance is demonstrated in the stratified and phase-shifted volume index grating.
Dirk Veestraeten - One of the best experts on this subject based on the ideXlab platform.
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a Recursion Formula for the moments of the first passage time of the ornstein uhlenbeck process
Journal of Applied Probability, 2015Co-Authors: Dirk VeestraetenAbstract:In this paper we use the Siegert Formula to derive alternative expressions for the moments of the first passage time of the Ornstein-Uhlenbeck process through a constant threshold. The expression for the nth moment is recursively linked to the lower-order moments and consists of only n terms. These compact expressions can substantially facilitate (numerical) applications also for higher-order moments.
G Ordaz - One of the best experts on this subject based on the ideXlab platform.
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a two parameter Recursion Formula for scalar field theory
Journal of Physics A, 1996Co-Authors: Y Meurice, G OrdazAbstract:We present a two-parameter family of Recursion Formulae for scalar field theory. The first parameter is the dimension (D). The second parameter allows one to continuously extrapolate between Wilson's approximate Recursion Formula and the Recursion Formula of Dyson's hierarchical model. We show numerically that at fixed D, the critical exponent depends continuously on . We suggest the use of the -independence as a guide to construct improved Recursion Formulae.
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a two parameter Recursion Formula for scalar field theory
arXiv: High Energy Physics - Lattice, 1996Co-Authors: Y Meurice, G OrdazAbstract:We present a two-parameter family of Recursion Formulas for scalar field theory. The first parameter is the dimension $(D)$. The second parameter ($\zeta$) allows one to continuously extrapolate between Wilson's approximate Recursion Formula and the Recursion Formula of Dyson's hierarchical model. We show numerically that at fixed $D$, the critical exponent $\gamma $ depends continuously on $\zeta$. We suggest the use of the $\zeta -$independence as a guide to construct improved Recursion Formulas.