Results 61 to 70 of about 95 (94)
Random Fibonacci Words via Clone Schur Functions
Forum of Mathematics, SigmaWe 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
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All Kronecker coefficients are reduced Kronecker coefficients
Forum of Mathematics, PiWe 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
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Forum of Mathematics, SigmaIn 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 +2 more
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Generalizations of two identities of Guo and Yang
, 2018 In this paper, we provide generalizations of two identities of Guo and Yang [2] for the q-binomial coefficients. This approach allows us to derive new convolution identities for the complete and elementary symmetric functions.
Merca, Mircea
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Matrix Whittaker processes. [PDF]
Probab Theory Relat Fields, 2023 Arista J, Bisi E, O'Connell N.
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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
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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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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) +2 more
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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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