Results 31 to 40 of about 2,605 (59)

Tubings, chord diagrams, and Dyson–Schwinger equations

open access: yesJournal 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

Bijective proofs for Schur function identities which imply Dodgson's condensation formula and Pl\"ucker relations

open access: yes, 2000
We present a ``method'' for bijective proofs for determinant identities, which is based on translating determinants to Schur functions by the Jacobi--Trudi identity.
Fulmek, Markus, Kleber, Michael
core   +1 more source

The excedance quotient of the Bruhat order, quasisymmetric varieties, and Temperley–Lieb algebras

open access: yesJournal 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

Reinforced Galton–Watson processes I: Malthusian exponents

open access: yesRandom Structures &Algorithms, Volume 65, Issue 2, Page 387-410, September 2024.
Abstract In a reinforced Galton–Watson process with reproduction law ν$$ \boldsymbol{\nu} $$ and memory parameter q∈(0,1)$$ q\in \left(0,1\right) $$, the number of children of a typical individual either, with probability q$$ q $$, repeats that of one of its forebears picked uniformly at random, or, with complementary probability 1−q$$ 1-q $$, is given
Jean Bertoin, Bastien Mallein
wiley   +1 more source

Pattern Hopf Algebras. [PDF]

open access: yesAnn Comb, 2022
Penaguiao R.
europepmc   +1 more source

The mysterious story of square ice, piles of cubes, and bijections. [PDF]

open access: yesProc Natl Acad Sci U S A, 2020
Fischer I, Konvalinka M.
europepmc   +1 more source

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