Results 11 to 20 of about 447 (171)
Atlas of Brain Glucose Metabolism Using Deuterium Metabolic Imaging at 3 T [PDF]
Magnetic Resonance in Medicine, Volume 96, Issue 4, Page 1834-1845, October 2026.ABSTRACT Purpose Deuterium metabolic imaging (DMI) offers noninvasive magnetic resonance imaging (MRI)–based assessment of metabolism in vivo, making it a relevant paraclinical tool for diseases with neurological metabolic alterations. This study aimed to establish a normative reference atlas of brain glucose metabolism accounting for age and sex ...
Kamilla K. Trosborg +14 more
wiley +2 more sources
From superintegrability to tridiagonal representation of β-ensembles
Physics Letters B, 2022 The wonderful formulas by I. Dumitriu and A. Edelman [1,2] rewrite β-ensemble, with eigenvalue integrals containing Vandermonde factors in the power 2β, through integrals over tridiagonal matrices, where β-dependent are the powers of individual matrix ...
A. Mironov, A. Morozov, A. Popolitov
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Highest weight Macdonald and Jack polynomials [PDF]
Journal of Physics A: Mathematical and Theoretical, 2011 17 pages, published ...
Jolicoeur, Th., Luque, Jean-Gabriel
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New Pieri Type Formulas for Jack Polynomials and their Applications to Interpolation Jack Polynomials [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2020 We present new Pieri type formulas for Jack polynomials. As an application, we give a new derivation of higher order difference equations for interpolation Jack polynomials originally found by Knop and Sahi. We also propose Pieri formulas for interpolation Jack polynomials and intertwining relations for a kernel function for Jack polynomials.
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Dual combinatorics of zonal polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 In this paper we establish a new combinatorial formula for zonal polynomials in terms of power-sums. The proof relies on the sign-reversing involution principle.
Valentin Féray, Piotr Sniady
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Quantum Hall ground states and regular graphs
Nuclear Physics B, 2022 We show that every uniform state on the sphere is essentially a superposition of regular graphs. In addition, we develop a graph-based ansatz to construct trial FHQ ground states sharing the local properties of Jack polynomials.
Hamed Pakatchi
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From Jack to Double Jack Polynomials via the Supersymmetric Bridge [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2015 The Calogero-Sutherland model occurs in a large number of physical contexts, either directly or via its eigenfunctions, the Jack polynomials. The supersymmetric counterpart of this model, although much less ubiquitous, has an equally rich structure. In particular, its eigenfunctions, the Jack superpolynomials, appear to share the very same remarkable ...
Lapointe, L., Mathieu, P.
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Super Jack-Laurent Polynomials [PDF]
Algebras and Representation Theory, 2018 29 pages, Corrected typos, Added ...
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European Physical Journal C: Particles and Fields, 2022 We construct the ( $$\beta $$ β -deformed) partition function hierarchies with W-representations. Based on the W-representations, we analyze the superintegrability property and derive their character expansions with respect to the Schur functions and ...
Rui Wang +3 more
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CFT approach to constraint operators for (β-deformed) hermitian one-matrix models
Nuclear Physics B, 2022 Since the (β-deformed) hermitian one-matrix models can be represented as the integrated conformal field theory (CFT) expectation values, we construct the operators in terms of the generators of the Heisenberg algebra such that the constraints can be ...
Rui Wang +3 more
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