Results 31 to 40 of about 447 (171)
A Unified View of Determinantal Expansions for Jack Polynomials [PDF]
The Electronic Journal of Combinatorics, 2000 Recently Lapointe et. al. [3] have expressed Jack Polynomials as determinants in monomial symmetric functions $m_\lambda$. We express these polynomials as determinants in elementary symmetric functions $e_\lambda$, showing a fundamental symmetry between these two expansions. Moreover, both expansions are obtained indifferently by applying the Calogero-
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Wave functions for fractional Chern insulators in disk geometry
New Journal of Physics, 2015 Recently, fractional Chern insulators (FCIs), also called fractional quantum anomalous Hall (FQAH) states, have been theoretically established in lattice systems with topological flat bands.
Ai-Lei He +3 more
doaj +1 more source
Nonsymmetric Jack polynomials and integral kernels
Duke Mathematical Journal, 1998 LaTeX 2.09, 33 ...
Baker, T. H., Forrester, P. J.
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Shifted jack polynomials, binomial formula, and applications [PDF]
Mathematical Research Letters, 1997 AMS TeX, 8 pages.
Okounkov, A., Olshanski, G.
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Discordance Between Patient and Physician Global Assessments in Early Systemic Sclerosis
Arthritis Care &Research, EarlyView.Objective This study aims to identify factors associated with patient global assessment (PtGA) and physician global assessment (PhGA) and discordance between them in systemic sclerosis (SSc). Methods Data from adults with early SSc (<5 years) from the Collaborative National Quality and Efficacy Registry were included.
Ellen Romich +35 more
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A positivity conjecture for Jack polynomials [PDF]
Mathematical Research Letters, 2008 We present a positivity conjecture for the coefficients of the development of Jack polynomials in terms of power sums. This extends Stanley's ex-conjecture about normalized characters of the symmetric group. We prove this conjecture for partitions having a rectangular shape.
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Advanced Engineering Materials, EarlyView.Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
wiley +1 more source
A Normalization Formula for the Jack Polynomials in Superspace and an Identity on Partitions [PDF]
The Electronic Journal of Combinatorics, 2009 We prove a conjecture of Desrosiers, Lapointe and Mathieu giving a closed form formula for the norm of the Jack polynomials in superspace with respect to a certain scalar product. The proof is mainly combinatorial and relies on the explicit expression in terms of admissible tableaux of the non-symmetric Jack polynomials.
Luc Lapointe +2 more
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Phase Diagrams and Piezoelectric Properties of Wurtzite Al1−x−yScxGdyN Heterostructural Alloys
Advanced Science, EarlyView.This study demonstrates ferroelectricity and piezoelectric properties improvement of quaternary wurtzite Al1−x−yScxGdyN${\rm Al}_{1-x-y}{\rm Sc}_x{\rm Gd}_y{\rm N}$ films, guided by density functional theory calculations. Wurtzite Al1−x−yScxGdyN${\rm Al}_{1-x-y}{\rm Sc}_x{\rm Gd}_y{\rm N}$ films have a high optical bandgap, enhanced piezoelectric ...
Julia L. Martin +11 more
wiley +1 more source