Results 101 to 110 of about 95,105 (247)
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
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
openaire +5 more sources
Supersymmetric polynomials and algebro-combinatorial duality
SciPost PhysicsIn this note we develop a systematic combinatorial definition for constructed earlier supersymmetric polynomial families. These polynomial families generalize canonical Schur, Jack and Macdonald families so that the new polynomials depend on odd ...
Dmitry Galakhov, Alexei Morozov, Nikita Tselousov
doaj +1 more source
Dual Equivalence Graphs Revisited [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 In 2007 Sami Assaf introduced dual equivalence graphs as a method for demonstrating that a quasisymmetric function is Schur positive. The method involves the creation of a graph whose vertices are weighted by Ira Gessel's fundamental quasisymmetric ...
Austin Roberts
doaj +1 more source
Regional Differences in High Elevation Snowpack Decline Along the North American Rocky Mountains
Hydrological Processes, Volume 39, Issue 5, May 2025.Historical trends from 1991 through 2020 were analysed from high elevation snow stations along a 2500 km corridor of the North American Rocky Mountains. This revealed declining maximum and April 1 snowpacks, and earlier snowpack peaks. A latitudinal pattern was observed, with slight changes in northern regions (blue) and increasing decline rates ...
Karen P. Zanewich, Stewart B. Rood
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
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
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
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