Macdonald-Cartier - Wikipedia
Macdonald-Cartier may refer to: Macdonald-Cartier Freeway, in southern Ontario, also known as Highway 401 Macdonald-Cartier Bridge, a bridge between Ottawa
Colin MacDonald - Wikipedia
Colin MacDonald may refer to: Colin MacGilp MacDonald, British historian and author Colin MacDonald (writer), Scottish writer Colin MacDonald (musician)
John Macdonald - Wikipedia
John Macdonald or MacDonald may refer to: John MacDonald (Australian politician) (1880–1937), Australian senator for Queensland John MacDonald II or John
Compact formulas for Macdonald polynomials and quasisymmetric Macdonald polynomials
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 ne...
Colin MacDonald (politician) - Wikipedia
Colin Douglas MacDonald (24 August 1890 – 2 September 1975) was an Australian politician. He was born in Balmain in Sydney to cabinet maker Colin MacDonald
A Conjecture about Raising Operators for Macdonald Polynomials
A multivariable hypergeometric-type formula for raising operators of the Macdonald polynomials is conjectured. It is proved that this agrees with Jing and Jozefiak's expression for the two-row Macdonald polynomials, and also with Lassalle and Schlo...
Macdonald Hastings - Wikipedia
Douglas Edward Macdonald Hastings (6 October 1909 – 4 October 1982), known as Macdonald Hastings or Mac Hastings, was an English journalist, author and
Angus Macdonald - Wikipedia
Angus Macdonald, Angus MacDonald, or Angus McDonald may refer to: Aonghus Mór (died c. 1293), first chief of Clan Donald Aonghus Óg of Islay (died 1314×1318/c
Representation theoretic realization of non-symmetric Macdonald polynomials at infinity
We study the nonsymmetric Macdonald polynomials specialized at infinity from various points of view. First, we define a family of modules of the Iwahori algebra whose characters are equal to the nonsymmetric Macdonald polynomials specialized at infin...
Macdonald-Koornwinder polynomials
An overview of the basic results on Macdonald(-Koornwinder) polynomials and double affine Hecke algebras is given. We develop the theory in such a way that it naturally encompasses all known cases. Among the basic properties of the Macdonald polynomi...
A combinatorial formula for Interpolation Macdonald polynomials
In 1996, Knop and Sahi introduced a remarkable family of inhomogeneous symmetric polynomials, defined via vanishing conditions, whose top homogeneous parts are exactly the Macdonald polynomials. Like the Macdonald polynomials, these interpolation Mac...
Matrix elements of vertex operators of deformed W-algebra and Harish Chandra Solutions to…
In this paper we prove that certain matrix elements of vertex operators of deformed W-algebra satisfy Macdonald difference equations and form n! -dimensional space of solutions. These solutions are the analogues of Harish Chandra solutions with pre...
Macdonald difference operators and Harish-Chandra series
We analyze the centralizer of the Macdonald difference operator in an appropriate algebra of Weyl group invariant difference operators. We show that it coincides with Cherednik's commuting algebra of difference operators via an analog of the Harish...
The super nabla operator
We consider here a new operator, called ``super nabla'', which is shown to be generic among operators for which the modified Macdonald polynomials are joint eigenfunctions. All previously known Macdonald eigenoperators can readily be obtained from su...
How do Minter and MacDonald differ in their defenses?
I hear a ton about the philosophy shift that coaches like MacDonald and Minter are bringing about in modern NFL defenses. Curious if there’s someone that watches the tape out there that can explain ...
Monk rules for type $GL_n$ Macdonald polynomials
In this paper we give Monk rules for Macdonald polynomials which are analogous to the Monk rules for Schubert polynomials. These formulas are similar to the formulas given by Baratta (2008), but our method of derivation is to use Cherednik's interwin...
The Magnitude and Frequency Variations of Vector-Borne Infections Outbreaks with the Ross-…
It is possible to model vector-borne infection using the classical Ross-Macdonald model. This attempt, however fails in several respects. First, using measured (or estimated) parameters, the model predicts a much greater number of cases than what is...
Colin McDonald - Wikipedia
Colin McDonald (ice hockey) (born 1984), American ice hockey player Colin MacGilp MacDonald (1882–1964), British historian and author Colin MacDonald
Colin MacDonald (writer) - Wikipedia
Colin MacDonald was born in 1956 in Inverness, Scotland. He is a prolific writer for television and radio. Television credits include The Dunroamin' Rising
Augustine Colin Macdonald - Wikipedia
Augustine Colin Macdonald (June 30, 1837 – July 16, 1919) was a Canadian merchant and political figure. He represented King's County and later King's
The Trews - Wikipedia
from Antigonish, Nova Scotia, consisting of vocalist Colin MacDonald, guitarist John-Angus MacDonald, bassist Jack Syperek, and drummer Theo Mckibbon. The
Rory MacDonald Wants His Massive Bellator Fight Purse Paid in Bitcoin
Points: 1 | Comments: 0 | Author: ca98am79
$q$-Difference raising operators for Macdonald polynomials and the integrality of transiti…
We study certain $q$-difference raising operators for Macdonald polynomials (of type $A_{n-1}$) which are originated from the $q$-difference-reflection operators introduced in our previous paper. These operators can be regarded as a $q$-difference...
MacDonald ties: Pictou County - Genealogy.com
Aug 8, 2003 · o Alexander MacDonald – no true record that he survived the American War, however, there was an oral history that said he remained in the Windsor area (unconfirmed) o James …
MacDonald ties: Pictou County - Genealogy.com
Aug 8, 2003 · o Alexander MacDonald – no true record that he survived the American War, however, there was an oral history that said he remained in the Windsor area (unconfirmed) o James …
Affine Hecke algebras and raising operators for Macdonald polynomials
We introduce certain raising and lowering operators for Macdonald polynomials (of type $A_{n-1}$) by means of Dunkl operators. The raising operators we discuss are a natural $q$-analogue of raising operators for Jack polynomials introduced by L.Lap...
Comparing formulas for type $GL_n$ Macdonald polynomials
The paper compares (and reproves) the alcove walk and the nonattacking fillings formulas for type $GL_n$ Macdonald polynomials which were given in Haglund-Haiman-Loehr arXiv:math.CO/0601693, Alexandersson arXiv:1602.05153 and Ram-Yip arXiv:0803.1146....
Comparing formulas for type $GL_n$ Macdonald polynomials: Supplement
This paper is a supplement to Guo-Ram arXiv:2104.02942, containing examples, remarks and additional material that could be useful to researchers working with Type $GL_n$ Macdonald polynomials. In the course of our comparison of the alcove walk formul...
Mike Macdonald’s No-Pads Path to the Super Bowl
Mike Macdonald just did what no other coach in NFL history has ever done. By leading the Seattle Seahawks to Super Bowl LX, he has become the first head coach to reach the big game without ever playin...
Will Macdonald - Wikipedia
Will Macdonald (born 1966) is a British television producer, executive and writer who first became known for his association with Chris Evans with whom
$m$-Symmetric functions, non-symmetric Macdonald polynomials and positivity conjectures
We study the space, $R_m$, of $m$-symmetric functions consisting of polynomials that are symmetric in the variables $x_{m+1},x_{m+2},x_{m+3},\dots$ but have no special symmetry in the variables $x_1,\dots,x_m$. We obtain $m$-symmetric Macdonald polyn...
Standard bases for affine parabolic modules and nonsymmetric Macdonald polynomials
We establish a connection between (degenerate) nonsymmetric Macdonald polynomials and standard bases and dual standard bases of maximal parabolic modules of affine Hecke algebras. Along the way we prove a (weak) polynomiality result for coefficient...
Amy Macdonald - Wikipedia
Amy Elizabeth Macdonald (born 25 August 1987) is a Scottish singer-songwriter. In 2007, she released her debut studio album, This Is the Life, which produced
Wreath Macdonald polynomials as eigenstates
We show that the wreath Macdonald polynomials for $\mathbb{Z}/\ell\mathbb{Z}\wrΣ_n$, when naturally viewed as elements in the vertex representation of the quantum toroidal algebra $U_{\mathfrak{q},\mathfrak{d}}(\ddot{\mathfrak{sl}}_\ell)$, diagonali...
Danielle Macdonald - Wikipedia
Danielle Louise Macdonald (born 19 May 1991) is an Australian actress. After moving to America at the age of 18 to pursue her career, she made her acting
Macdonald Index and Chiral Algebra
For any 4d N=2 SCFT, there is a subsector described by a 2d chiral algebra. The vacuum character of the chiral algebra reproduces the Schur index of the corresponding 4d theory. The Macdonald index counts the same set of operators as the Schur index,...
Kelly Macdonald - Wikipedia
Kelly Macdonald (born 23 February 1976) is a Scottish actress. Known for her performances on film and television, she has received various accolades including
Memories of Ian G. Macdonald
This is a slightly edited translation of a paper in Dutch which appeared in Nieuw Archief voor Wiskunde (5) 25 (2024), No.2, 87-90 on the occasion of I.G. Macdonald's death in 2023, and aimed at a very broad mathematical audience. First we review som...
idioseph/macdonald_app
A modern food ordering application built with React Native (Expo), featuring smooth animations and gestures. (⭐ 19)
Bistritzer-MacDonald dynamics in twisted bilayer graphene
The Bistritzer-MacDonald (BM) model, introduced in \cite{Bistritzer2011}, attempts to capture the electronic properties of twisted bilayer graphene (TBG), even at incommensurate twist angles, by an effective periodic model over the bilayer moiré pat...