Results 101 to 110 of about 18,223 (230)
Demazure crystals and the energy function [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 There is a close connection between Demazure crystals and tensor products of Kirillov–Reshetikhin crystals. For example, certain Demazure crystals are isomorphic as classical crystals to tensor products of Kirillov–Reshetikhin crystals via a canonically ...
Anne Schilling, Peter Tingley
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A product formula for certain Littlewood-Richardson coefficients for Jack and Macdonald polynomials [PDF]
, 2014 Jack polynomials generalize several classical families of symmetric polynomials, including Schur polynomials, and are further generalized by Macdonald polynomials.
Naqvi, Yusra
core
European Journal of Neuroscience, Volume 62, Issue 8, October 2025.Genetic risk alone did not predict impaired TMT‐B performance, challenging the view that cognitive abnormalities represent an endophenotype of schizophrenia. Psychiatric morbidity was strongly associated with poorer test performance, suggesting that psychopathology impairs executive functioning.
Toni Myllyaho +5 more
wiley +1 more source
Ecology and Evolution, Volume 15, Issue 9, September 2025.This study provides new insights for conserving rare wildlife in southwest China's mountainous regions, highlighting the importance of using camera traps to directly monitor anthropogenic disturbance and quantify its impact on species survival. The varying responses of threatened medium and large mammals to human activities emphasize the spatiotemporal
Qiuxian Li +8 more
wiley +1 more source
A Nekrasov–Okounkov formula for Macdonald polynomials [PDF]
Journal of Algebraic Combinatorics, 2017 We prove a Macdonald polynomial analogue of the celebrated Nekrasov-Okounkov hook-length formula from the theory of random partitions. As an application we obtain a proof of one of the main conjectures of Hausel and Rodriguez-Villegas from their work on mixed Hodge polynomials of the moduli space of stable Higgs bundles on Riemann surfaces.
Eric M. Rains, S. Ole Warnaar
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Limnology and Oceanography, Volume 70, Issue 9, Page 2618-2631, September 2025.Abstract Nitrous oxide (N2O) is an ozone‐depleting greenhouse gas that has a global warming potential nearly 300 times greater than carbon dioxide. Although the oceans contribute about 21% of atmospheric global N2O emissions, we know relatively little about N2O dynamics in nearshore systems. Here, we document the fourfold increase in the abundance of a
Zuhairah Dindar +5 more
wiley +1 more source
Forum of Mathematics, SigmaWe construct a novel family of difference-permutation operators and prove that they are diagonalized by the wreath Macdonald P-polynomials; the eigenvalues are written in terms of elementary symmetric polynomials of arbitrary degree.
Daniel Orr, Mark Shimozono, Joshua Wen
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 12807-12812, September 2025.ABSTRACT In this paper, new representations of the Green's function for an acoustic d$$ d $$‐dimensional half‐space problem with impedance boundary conditions are presented. The main features of the new representation are in addition to additive terms that appear also in the case of Dirichlet or Neumann boundary conditions, the remaining part of the ...
C. Lin, J. M. Melenk, S. Sauter
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Creation Operators for the Macdonald and Jack Polynomials
Letters in Mathematical Physics, 1997 14 pages ...
Luc Lapointe, Luc Vinet
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European Physical Journal C: Particles and FieldsWe construct the generalized $$\beta $$ β and (q, t)-deformed partition functions through W representations, where the expansions are respectively with respect to the generalized Jack and Macdonald polynomials labeled by N-tuple of Young diagrams.
Fan Liu +3 more
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