Results 61 to 70 of about 18,223 (230)

An extension of MacMahon's Equidistribution Theorem to ordered multiset partitions [PDF]

Discrete Mathematics & Theoretical Computer Science, 2014
A classical result of MacMahon states that inversion number and major index have the same distribution over permutations of a given multiset. In this work we prove a strengthening of this theorem originally conjectured by Haglund.
Andrew Timothy Wilson
doaj   +1 more source

The Delta Conjecture [PDF]

Discrete Mathematics & Theoretical Computer Science, 2020
We conjecture two combinatorial interpretations for the symmetric function ∆eken, where ∆f is an eigenoperator for the modified Macdonald polynomials defined by Bergeron, Garsia, Haiman, and Tesler.
James Haglund, Jeffrey B. Remmel, Andrew Timothy Wilson   +2 more
doaj   +1 more source

Full decomposition of phenotypic variance in dichotomous traits: New methods and key implications for behaviour, demography and evolutionary ecology

Methods in Ecology and Evolution, EarlyView.
Abstract Numerous traits that define behaviour, development, life‐history and species ecology are expressed as dichotomous alternative phenotypes (e.g. morphological and behavioural polyphenisms, reproductive vs. non‐reproductive states, movement vs. philopatry).
Paul Acker, Jane M. Reid
wiley   +1 more source

Pieri rules for Schur functions in superspace [PDF]

Discrete Mathematics & Theoretical Computer Science, 2015
The Schur functions in superspace $s_\Lambda$ and $\overline{s}_\Lambda$ are the limits $q=t= 0$ and $q=t=\infty$ respectively of the Macdonald polynomials in superspace.
Miles Eli Jones, Luc Lapointe
doaj   +1 more source

c-functions and Macdonald polynomials [PDF]

Journal of Algebra
This is a paper about $c$-functions and Macdonald polynomials. There are $c$-function formulas for $E$-expansions of $P_λ$ and $A_{λ+ρ}$, principal specializations of $P_λ$ and $E_μ$, for Macdonald's constant term formulas, and for the norms of Macdonald polynomials.
Laura Colmenarejo, Arun Ram
openalex   +3 more sources

Complementarity in alliances: How strategic compatibility and hierarchy promote efficient cooperation in international security

American Journal of Political Science, EarlyView.
Abstract How can defense alliances reap the efficiency gains of working together when coordination and opportunism costs are high? Although specializing as part of a collective comes with economic and functional benefits, states must bargain over the distribution of those gains and ensure the costs of collective action are minimized.
J. Andrés Gannon
wiley   +1 more source

Symmetric and nonsymmetric Macdonald polynomials [PDF]

Annals of Combinatorics, 1999
AMS-Latex, 24 ...
openaire   +3 more sources

Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials

Symmetry, Integrability and Geometry: Methods and Applications, 2013
We present a semi-infinite q-boson system endowed with a four-parameter boundary interaction. The n-particle Hamiltonian is diagonalized by generalized Hall-Littlewood polynomials with hyperoctahedral symmetry that arise as a degeneration of the ...
Jan Felipe van Diejen, Erdal Emsiz
doaj   +1 more source

Shiraishi functor and non-Kerov deformation of Macdonald polynomials

European Physical Journal C: Particles and Fields, 2020
We suggest a further generalization of the hypergeometric-like series due to M. Noumi and J. Shiraishi by substituting the Pochhammer symbol with a nearly arbitrary function.
Hidetoshi Awata, Hiroaki Kanno, Andrei Mironov, Alexei Morozov   +3 more
doaj   +1 more source

On pentagon identity in Ding-Iohara-Miki algebra

Journal of High Energy Physics, 2023
We notice that the famous pentagon identity for quantum dilogarithm functions and the five-term relation for certain operators related to Macdonald polynomials discovered by Garsia and Mellit can both be understood as specific cases of a general “master ...
Yegor Zenkevich
doaj   +1 more source