Results 21 to 30 of about 11,601,754 (180)
International Journal of Robust and Nonlinear Control, EarlyView., 2023 Abstract We propose a hierarchical energy management scheme for aggregating Distributed Energy Resources (DERs) for grid flexibility services. To prevent a direct participation of numerous prosumers in the wholesale electricity market, aggregators, as self‐interest agents in our scheme, incentivize prosumers to provide flexibility. We firstly model the
Xiupeng Chen +3 more
wiley +1 more source
Affine dual equivalence and $k$-Schur functions [PDF]
Journal of Combinatorics, 2012 The k-Schur functions were first introduced by Lapointe, Lascoux and Morse (2003) in the hopes of refining the expansion of Macdonald polynomials into Schur functions. Recently, an alternative definition for k-Schur functions was given by Lam, Lapointe, Morse, and Shimozono (2010) as the weighted generating function of starred strong tableaux which ...
Assaf, Sami, Billey, Sara
openaire +2 more sources
$k$-Schur functions and affine Schubert calculus [PDF]
, 2013 This book is an exposition of the current state of research of affine Schubert calculus and $k$-Schur functions. This text is based on a series of lectures given at a workshop titled "Affine Schubert Calculus" that took place in July 2010 at the Fields Institute in Toronto, Ontario. The story of this research is told in three parts: 1.
Lam, Thomas +5 more
openaire +5 more sources
Expansions of k-Schur Functions in the Affine nilCoxeter Algebra [PDF]
The Electronic Journal of Combinatorics, 2012 We give a type free formula for the expansion of $k$-Schur functions indexed by fundamental coweights within the affine nilCoxeter algebra. Explicit combinatorics are developed in affine type $C$.
Chris Berg +3 more
openaire +3 more sources
Bumping algorithm for set-valued shifted tableaux [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We present an insertion algorithm of Robinson–Schensted type that applies to set-valued shifted Young tableaux. Our algorithm is a generalization of both set-valued non-shifted tableaux by Buch and non set-valued shifted tableaux by Worley and Sagan.
Takeshi Ikeda +2 more
doaj +1 more source
Dual Grothendieck polynomials via last-passage percolation
Comptes Rendus. Mathématique, 2020 The ring of symmetric functions has a basis of dual Grothendieck polynomials that are inhomogeneous $K$-theoretic deformations of Schur polynomials. We prove that dual Grothendieck polynomials determine column distributions for a directed last-passage ...
Yeliussizov, Damir
doaj +1 more source
Super-Schur polynomials for Affine Super Yangian Y( gl ̂ $$ \hat{\mathfrak{gl}} $$ 1|1)
Journal of High Energy Physics, 2023 We explicitly construct cut-and-join operators and their eigenfunctions — the Super-Schur functions — for the case of the affine super-Yangian Y( gl ̂ $$ \hat{\mathfrak{gl}} $$ 1|1).
Dmitry Galakhov +2 more
doaj +1 more source
Integrable models and K-theoretic pushforward of Grothendieck classes
Nuclear Physics B, 2021 We show that a multiple commutation relation of the Yang-Baxter algebra of integrable lattice models derived by Shigechi and Uchiyama can be used to connect two types of Grothendieck classes by the K-theoretic pushforward from the Grothendieck group of ...
Kohei Motegi
doaj +1 more source
The Schur transform of a generalized Schur function and operator realizations [PDF]
, 2005 Het proefschrift van Gerald Wanjala bouwt voort op werk van de wiskundige Issai Schur uit het begin van de vorige eeuw. Destijds vormde dit het beginpunt van een nieuw onderdeel in de wiskunde: de Schur-analyse.
Wanjala, Gerald, +3 more
core +15 more sources
Schur-convexity of the Extended Mean Values [PDF]
, 2001 In this article, the Schur-convexity of the extended mean values are proved. Consequently, an inequality between the logarithmic mean values and the identity (exponential) mean values is ...
Qi, Feng
core +6 more sources