Results 31 to 40 of about 1,209 (75)
The Poincaré‐extended ab$\mathbf {a}\mathbf {b}$‐index
Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.Abstract Motivated by a conjecture concerning Igusa local zeta functions for intersection posets of hyperplane arrangements, we introduce and study the Poincaré‐extended ab$\mathbf {a}\mathbf {b}$‐index, which generalizes both the ab$\mathbf {a}\mathbf {b}$‐index and the Poincaré polynomial.
Galen Dorpalen‐Barry +2 more
wiley +1 more source
International Journal of Photoenergy, Volume 2014, Issue 1, 2014., 2014 Combining trajectory surface hopping (TSH) method with constraint molecular dynamics, we have extended TSH method from full to flexible dimensional potential energy surfaces. Classical trajectories are carried out in Cartesian coordinates with constraints in internal coordinates, while nonadiabatic switching probabilities are calculated separately in ...
Yibo Lei +5 more
wiley +1 more source
Noncrossing partitions, clusters and the Coxeter plane [PDF]
, 2010 When W is a finite Coxeter group of classical type (A, B, or D), noncrossing partitions associated to W and compatibility of almost positive roots in the associated root system are known to be modeled by certain planar diagrams. We show how the classical-
Reading, Nathan
core +1 more source
Tubings, chord diagrams, and Dyson–Schwinger equations
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract We give series solutions to single insertion place propagator‐type systems of Dyson–Schwinger equations using binary tubings of rooted trees. These solutions are combinatorially transparent in the sense that each tubing has a straightforward contribution.
Paul‐Hermann Balduf +5 more
wiley +1 more source
Composite Operator Method Analysis of the Underdoped Cuprates Puzzle
Advances in Condensed Matter Physics, Volume 2014, Issue 1, 2014., 2014 The microscopical analysis of the unconventional and puzzling physics of the underdoped cuprates, as carried out lately by means of the composite operator method (COM) applied to the 2D Hubbard model, is reviewed and systematized. The 2D Hubbard model has been adopted as it has been considered the minimal model capable of describing the most peculiar ...
Adolfo Avella, Jörg Fink
wiley +1 more source
The excedance quotient of the Bruhat order, quasisymmetric varieties, and Temperley–Lieb algebras
Journal of the London Mathematical Society, Volume 110, Issue 4, October 2024.Abstract Let Rn=Q[x1,x2,…,xn]$R_n=\mathbb {Q}[x_1,x_2,\ldots ,x_n]$ be the ring of polynomials in n$n$ variables and consider the ideal ⟨QSymn+⟩⊆Rn$\langle \mathrm{QSym}_{n}^{+}\rangle \subseteq R_n$ generated by quasisymmetric polynomials without constant term. It was shown by J. C. Aval, F. Bergeron, and N. Bergeron that dim(Rn/⟨QSymn+⟩)=Cn$\dim \big
Nantel Bergeron, Lucas Gagnon
wiley +1 more source
Front representation of set partitions
, 2011 Let $\pi$ be a set partition of $[n]=\{1,2,...,n\}$. The standard representation of $\pi$ is the graph on the vertex set $[n]$ whose edges are the pairs $(i,j)$ of integers with ...
Kim, Jang Soo
core +1 more source
On Rees algebras of 2‐determinantal ideals
Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract Let I$I$ be the ideal of minors of a 2×n$2 \times n$ matrix of linear forms with the expected codimension. In this paper, we prove that the Rees algebra of I$I$ and its special fiber ring are Cohen–Macaulay and Koszul; in particular, they are quadratic algebras.
Ritvik Ramkumar, Alessio Sammartano
wiley +1 more source
The toric h-vector of a cubical complex in terms of noncrossing partition statistics [PDF]
, 2013 This paper introduces a new and simple statistic on noncrossing partitions that expresses each coordinate of the toric $h$-vector of a cubical complex, written in the basis of the Adin $h$-vector entries, as the total weight of all noncrossing partitions.
Birdsong, Sarah, Hetyei, Gábor
core
The local $h$-vector of the cluster subdivision of a simplex [PDF]
, 2012 The cluster complex $\Delta (\Phi)$ is an abstract simplicial complex, introduced by Fomin and Zelevinsky for a finite root system $\Phi$. The positive part of $\Delta (\Phi)$ naturally defines a simplicial subdivision of the simplex on the vertex set of
Athanasiadis, Christos A. +1 more
core +2 more sources