Results 1 to 10 of about 153,226 (252)
Hopf dreams and diagonal harmonics
Journal of the London Mathematical Society, 2022 44 pages, 29 figures; Version 4: minor changes for final ...
Vincent Pilaud +2 more
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Hyperplane Arrangements and Diagonal Harmonics [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 In 2003, Haglund's bounce statistic gave the first combinatorial interpretation of the q,t-Catalan numbers and the Hilbert series of diagonal harmonics. In this paper we propose a new combinatorial interpretation in terms of the affine Weyl group of type
Drew Armstrong
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Higher trivariate diagonal harmonics via generalized Tamari posets [PDF]
Electronic Journal of Combinatorics, 2012 We consider the graded $§_n$-modules of higher diagonally harmonic polynomials in three sets of variables (the trivariate case), and show that they have interesting ties with generalizations of the Tamari poset and parking functions. In particular we get several nice formulas for the associated Hilbert series and graded Frobenius characteristic.
François Bergeron
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Harmonic Aggregation Entropy: A Highly Discriminative Harmonic Feature Estimator for Time Series [PDF]
EntropyHarmonics are a common phenomenon widely present in power systems. The presence of harmonics not only increases the energy consumption of equipment but also poses hidden risks to the safety and stealth performance of large ships. Thus, there is an urgent
Ye Wang +5 more
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Triangular Diagonal Harmonics Conjectures
Experimental Mathematics18 pages, 3 ...
François Bergeron
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A conjectured combinatorial formula for the Hilbert series for diagonal harmonics
Discrete Mathematics, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J Haglund
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Combinatorics of Tesler matrices in the theory of parking functions and diagonal harmonics [PDF]
Electronic Journal of Combinatorics, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J Haglund
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Direct diagonalization method for a few particles trapped in harmonic potentials [PDF]
Physical Review A, 2022 We describe a procedure to systematically improve direct diagonalization results for few-particle systems trapped in one-dimensional harmonic potentials interacting by contact interactions. We start from the two-body problem to define a renormalization method for the interparticle interactions.
Abel Rojo-Francàs +2 more
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Disorder-induced effects in high-harmonic generation process in fullerene molecules
Results in Physics, 2023 The objective of this article is to investigate the profound nonlinear optical response exhibited by inversion symmetric fullerene molecules under the influence of different types of disorders described by the Anderson model.
H.K. Avetissian +3 more
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Special Cases of the Parking Functions Conjecture and Upper-Triangular Matrices [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We examine the $q=1$ and $t=0$ special cases of the parking functions conjecture. The parking functions conjecture states that the Hilbert series for the space of diagonal harmonics is equal to the bivariate generating function of $area$ and $dinv$ over ...
Paul Levande
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