Results 51 to 60 of about 82 (82)

Random Fibonacci Words via Clone Schur Functions

Forum of Mathematics, Sigma
We investigate positivity and probabilistic properties arising from the Young–Fibonacci lattice $\mathbb {YF}$ , a 1-differential poset on words composed of 1’s and 2’s (Fibonacci words) and graded by the sum of the digits.
Leonid Petrov, Jeanne Scott
doaj   +1 more source

Matrix Whittaker processes. [PDF]

Probab Theory Relat Fields, 2023
Arista J, Bisi E, O'Connell N.
europepmc   +1 more source

All Kronecker coefficients are reduced Kronecker coefficients

Forum of Mathematics, Pi
We settle the question of where exactly do the reduced Kronecker coefficients lie on the spectrum between the Littlewood-Richardson and Kronecker coefficients by showing that every Kronecker coefficient of the symmetric group is equal to a reduced ...
Christian Ikenmeyer, Greta Panova
doaj   +1 more source

Pattern Hopf Algebras. [PDF]

Ann Comb, 2022
Penaguiao R.
europepmc   +1 more source

A presentation of the torus-equivariant quantum K-theory ring of flag manifolds of type A, Part II: quantum double Grothendieck polynomials

Forum of Mathematics, Sigma
In our previous paper, we gave a presentation of the torus-equivariant quantum K-theory ring $QK_{H}(Fl_{n+1})$ of the (full) flag manifold $Fl_{n+1}$ of type $A_{n}$ as a quotient of a polynomial ring by an explicit ideal.
Toshiaki Maeno, Satoshi Naito, Daisuke Sagaki   +2 more
doaj   +1 more source

Free fermionic probability theory and k-theoretic schubert calculus

Forum of Mathematics, Sigma
For each of the four particle processes given by Dieker and Warren, we show the n-step transition kernels are given by the (dual) (weak) refined symmetric Grothendieck functions up to a simple overall factor. We do so by encoding the particle dynamics as
Shinsuke Iwao, Kohei Motegi, Travis Scrimshaw   +2 more
doaj   +1 more source

The quasisymmetric flag variety: A toric complex on noncrossing partitions

Forum of Mathematics, Pi
We develop the geometric theory of equivariant quasisymmetry via a new “quasisymmetric flag variety.” This is a toric complex in the flag variety whose fixed point set is the set of (algebraic) noncrossing partitions, and whose cohomology ring is the ...
Nantel Bergeron, Lucas Gagnon, Philippe Nadeau, Hunter Spink, Vasu Tewari   +4 more
doaj   +1 more source

Bounded Littlewood identity related to alternating sign matrices

Forum of Mathematics, Sigma
An identity that is reminiscent of the Littlewood identity plays a fundamental role in recent proofs of the facts that alternating sign triangles are equinumerous with totally symmetric self-complementary plane partitions and that alternating sign ...
Ilse Fischer
doaj   +1 more source

Augmented monomials in terms of power sums. [PDF]

Springerplus, 2015
Merca M.
europepmc   +1 more source

Schur-convexity, Schur-geometric and Schur-harmonic convexity for a composite function of complete symmetric function. [PDF]

Springerplus, 2016
Shi HN, Zhang J, Ma QH.
europepmc   +1 more source