Results 81 to 90 of about 77,378 (232)
Compact formulas for Macdonald polynomials and quasisymmetric Macdonald polynomials [PDF]
arXiv, 2020 We present several new and compact formulas for the modified and integral form of the Macdonald polynomials, building on the compact "multiline queue" formula for Macdonald polynomials due to Corteel, Mandelshtam, and Williams. We also introduce a new quasisymmetric analogue of Macdonald polynomials.
arxiv
A unifying class of compound Poisson integer‐valued ARMA and GARCH models
Scandinavian Journal of Statistics, EarlyView.Abstract INAR (integer‐valued autoregressive) and INGARCH (integer‐valued GARCH) models are among the most commonly employed approaches for count time series modeling, but have been studied in largely distinct strands of literature. In this paper, a new class of generalized integer‐valued ARMA (GINARMA) models is introduced which unifies a large number
Johannes Bracher, Barbora Němcová
wiley +1 more source
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
doaj +1 more source
Identifying Reliable Change in Outcome Assessments for Behavioral Interventions
Behavioral Interventions, Volume 40, Issue 2, April 2025.ABSTRACT Behavioral interventions have demonstrated group‐level benefits for a variety of behavioral presentations and conditions. The ability to capture and quantify reliable individual‐level change during the course of behavioral interventions is essential for making rational clinical management decisions.
Thomas W. Frazier +4 more
wiley +1 more source
Colorful combinatorics and Macdonald polynomials
European Journal of Combinatorics, 2019 The non-negative integer cocharge statistic on words was introduced in the 1970's by Lascoux and Sch tzenberger to combinatorially characterize the Hall-Littlewood polynomials. Cocharge has since been used to explain phenomena ranging from the graded decomposition of Garsia-Procesi modules to the cohomology structure of the Grassman variety.
Jennifer Morse, Ryan Kaliszewski
openaire +4 more sources
An analytic formula for Macdonald polynomials [PDF]
Comptes Rendus. Mathématique, 2003 8 pages; research announcement submitted to Comptes Rendus Math. Acad. Sci.
Lassalle, Michel, Schlosser, M.
openaire +4 more sources
Can tangle calculus be applicable to hyperpolynomials?
Nuclear Physics B, 2019 We make a new attempt at the recently suggested program to express knot polynomials through topological vertices, which can be considered as a possible approach to the tangle calculus: we discuss the Macdonald deformation of the relation between the ...
Hidetoshi Awata +3 more
doaj
The $m$-symmetric Macdonald polynomials [PDF]
arXiv, 2023 The $m$-symmetric Macdonald polynomials form a basis of the space of polynomials that are symmetric in the variables $x_{m+1},x_{m+2},\dots$ (while having no special symmetry in the variables $x_1,\dots,x_m$).We establish in this article the fundamental properties of the $m$-symmetric Macdonald polynomials.
arxiv
Journal of Applied Ecology, Volume 62, Issue 4, Page 958-969, April 2025.In long‐fragmented, light matrix landscapes, small and large patches apparently offer comparable per‐unit‐area habitat value. Conversely, under a harsh matrix, larger patches retain slightly greater habitat value. We speculate that this reflects a ‘colonization credit’, which might occur within smaller patches after the initial loss of fragmentation ...
David C. Deane, Federico Riva
wiley +1 more source
Determinantal expressions for Macdonald polynomials
International Mathematics Research Notices, 1998 We show that the action of classical operators associated to the Macdonald polynomials on the basis of Schur functions, S_ [X(t-1)/(q-1)], can be reduced to addition in -rings. This provides explicit formulas for the Macdonald polynomials expanded in this basis as well as in the ordinary Schur basis, S_ [X], and the monomial basis, m_ [X].
Lapointe, L, Lascoux, Alain, Morse, J
openaire +4 more sources