Results 71 to 80 of about 104 (101)

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

Diagonal operators, \(q\)-Whittaker functions and rook theory

We discuss the problem posed by Bender, Coley, Robbins and Rumsey of enumerating the number of subspaces which have a given profile with respect to a linear operator over the finite field \(\mathbb{F}_q\).
Ram, Samrith, Schlosser, Michael J.
core   +1 more source

Towards a Theory of Negative Dependence

, 1999
: The FKG theorem says that the POSITIVE LATTICE CONDITION, an easily checkable hypothesis which holds for many natural families of events, implies POSITIVE ASSOCIATION, a very useful property.
Robin Pemantle
core  

Positively multiplicative graphs and homology rings of affine Grassmannians

Let \(\mathfrak{g}\) be an untwisted affine Lie algebra with associated Weyl group \(W_a\) and let \(W\) be the Weyl group of the corresponding simple Lie algebra.
Pierre Tarrago, Cédric Lecouvey, Jérémie Guilhot   +2 more
core   +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

Plethysms, replicated Schur functions and series, with applications to vertex operators

, 2010
Specializations of Schur functions are exploited to define and evaluate the Schur functions sλ[αX] and plethysms sλ[αsν(X))] for any α—integer, real or complex.
King, RC (15505076), Fauser, B (15505073), Peter Jarvis (14740186)   +2 more
core  

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

Genetic snapshots of the Rhizobium species NGR234 genome. [PDF]

Genome Biol, 2000
Viprey V, Rosenthal A, Broughton WJ, Perret X.   +3 more
europepmc   +1 more source