Free fermionic probability theory and k-theoretic schubert calculus
Forum of Mathematics, SigmaFor 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 +2 more
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Enumeration of coalescent histories for caterpillar species trees and p-pseudocaterpillar gene trees. [PDF]
Adv Appl Math, 2021 Alimpiev E, Rosenberg NA.
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Bounded Littlewood identity related to alternating sign matrices
Forum of Mathematics, SigmaAn 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
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A combinatorial identity for rooted labeled forests. [PDF]
Aequ Math, 2020 Hackl B.
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Combinatorial bases of modules for affine Lie algebra B 2(1)
Open Mathematics, 2013 Primc Mirko
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Two explicit formulas for the generalized Motzkin numbers. [PDF]
J Inequal Appl, 2017 Zhao JL, Qi F.
europepmc +1 more source
Roadblocked monotonic paths and the enumeration of coalescent histories for non-matching caterpillar gene trees and species trees. [PDF]
Adv Appl Math, 2020 Himwich ZM, Rosenberg NA.
europepmc +1 more source
Some new transformations for Bailey pairs and WP-Bailey pairs
Open Mathematics, 2010 Mc Laughlin James
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Identities and recurrence relations of special numbers and polynomials of higher order by analysis of their generating functions. [PDF]
J Inequal Appl, 2018 Simsek Y, Kim D.
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A note on the determinant of a Toeplitz-Hessenberg matrix
Special Matrices, 2013 Merca Mircea
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