Results 51 to 60 of about 91 (91)

Alternating sign matrices with reflective symmetry and plane partitions: $n+3$ pairs of equivalent statistics and a Cauchy-type identity

Forum of Mathematics, Sigma
Vertically symmetric alternating sign matrices (VSASMs) of order $2n+1$ are known to be equinumerous with lozenge tilings of a hexagon with side lengths $2n+2,2n,2n+2,2n,2n+2,2n$ and a central triangular hole of size $2$ that exhibit
Ilse Fischer, Hans Höngesberg
doaj   +1 more source

On the critical exponents of generalized ballot sequences in three dimensions and large tandem walks. [PDF]

Aequ Math, 2022
Wallner M.
europepmc   +1 more source

An asymptotic formula for the variance of the number of zeroes of a stationary Gaussian process. [PDF]

Probab Theory Relat Fields, 2023
Assaf E, Buckley J, Feldheim N.
europepmc   +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

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

Enumeration of coalescent histories for caterpillar species trees and p-pseudocaterpillar gene trees. [PDF]

Adv Appl Math, 2021
Alimpiev E, Rosenberg NA.
europepmc   +1 more source

A combinatorial identity for rooted labeled forests. [PDF]

Aequ Math, 2020
Hackl B.
europepmc   +1 more source

Combinatorial bases of modules for affine Lie algebra B 2(1)

Open Mathematics, 2013
Primc Mirko
doaj   +1 more source

Some new transformations for Bailey pairs and WP-Bailey pairs

Open Mathematics, 2010
Mc Laughlin James
doaj   +1 more source

Two explicit formulas for the generalized Motzkin numbers. [PDF]

J Inequal Appl, 2017
Zhao JL, Qi F.
europepmc   +1 more source