Results 1 to 10 of about 10,006 (159)
Some structures of the catalan numbers I [PDF]
ریاضی و جامعهThe Catalan numbers are ubiquitous in counting problems which is one of the primary reasons for its popularity. From various sources like books and Wikipedia we see that in combinatorial mathematics.
Daniel Yaqubi, Madjid Mirzavaziri
doaj +1 more source
Normally ordered forms of powers of differential operators and their combinatorics [PDF]
, 2018 We investigate the combinatorics of the general formulas for the powers of the operator h∂k, where h is a central element of a ring and ∂ is a differential operator. This generalizes previous work on the powers of operators h∂.
Briand, Emmanuel +2 more
core +2 more sources
A Probabilistic Proof of the Rogers Ramanujan Identities [PDF]
, 2000 The asymptotic probability theory of conjugacy classes of the finite general linear and unitary groups leads to a probability measure on the set of all partitions of natural numbers.
Fulman, Jason
core +4 more sources
Integer partitions and exclusion statistics: Limit shapes and the largest part of Young diagrams [PDF]
, 2007 We compute the limit shapes of the Young diagrams of the minimal difference $p$ partitions and provide a simple physical interpretation for the limit shapes.
Comtet, Alain +3 more
core +1 more source
Linearization coefficients for orthogonal polynomials using stochastic processes [PDF]
, 2005 Given a basis for a polynomial ring, the coefficients in the expansion of a product of some of its elements in terms of this basis are called linearization coefficients.
Anshelevich, Michael
core +1 more source
Antipode formulas for some combinatorial Hopf algebras
, 2016 Motivated by work of Buch on set-valued tableaux in relation to the K-theory of the Grassmannian, Lam and Pylyavskyy studied six combinatorial Hopf algebras that can be thought of as K-theoretic analogues of the Hopf algebras of symmetric functions ...
Patrias, Rebecca
core +1 more source
Kronecker Coefficients For Some Near-Rectangular Partitions [PDF]
, 2014 We give formulae for computing Kronecker coefficients occurring in the expansion of $s_{\mu}*s_{\nu}$, where both $\mu$ and $\nu$ are nearly rectangular, and have smallest parts equal to either 1 or 2.
Tewari, Vasu V.
core
, 2012 In this paper, we propose a new type of matroids, namely covering matroids, and investigate the connections with the second type of covering-based rough sets and some existing special matroids.
Liu, Yanfang, Zhu, William
core
Compound real Wishart and q-Wishart matrices
, 2007 We introduce a family of matrices with non-commutative entries that generalize the classical real Wishart matrices. With the help of the Brauer product, we derive a non-asymptotic expression for the moments of traces of monomials in such matrices; the ...
Bryc, Wlodek
core +2 more sources
Boolean Witt vectors and an integral Edrei-Thoma theorem [PDF]
, 2015 A subtraction-free definition of the big Witt vector construction was recently given by the first author. This allows one to define the big Witt vectors of any semiring.
Borger, James, Grinberg, Darij
core +2 more sources