Considering commutator monomials of the non-commutative associative variables $X_1,\ldots,X_n$; we determine the maximal possible number of alternating associative monomials in their noncommutative polynomial expansions.Comment: 18 page
The lattice of monotone triangles (�n, ≼) ordered by entry-wise comparisons is studied. Let τmin den...
AbstractWe say that a permutation σ∈Sn contains a permutation π∈Sk as a pattern if some subsequence ...
We review a recent development at the interface between discrete mathematics on one hand and probabi...
We give explicit formulas for the asymptotic growth rate of the number of summands in tensor powers ...
There is the same number of $n \times n$ alternating sign matrices (ASMs) as there is of descending ...
We study the possible numbers of nonconstant invariant polynomials of the matrix commutator XA - AX,...
The associahedra and permutohedra polytopes are redefined as sub-sets of discrete simplices, associa...
AbstractThe number of alternating permutations with specified peak set is calculated. A recent resul...
The lattice of monotone triangles (�n, ≼) ordered by entry-wise comparisons is studied. Let τmin den...
AbstractThe outside corners of a monomial ideal are the maximal standard monomials modulo that ideal...
In this work we consider monoids as algebras with an associative binary operation and the nullary op...
We prove that $\log n$ is an almost everywhere convergence Weyl multiplier for the orthonormal syste...
Das Problem, alternierende Vorzeichenmatrizen fixer Größe zu zählen, zeichnet sich einerseits durch ...
In this paper, we examined the computational complexity of systems of monomials for some models that...
Under what circumstances might every extension of a combinatorial structure contain more copies of a...
The lattice of monotone triangles (�n, ≼) ordered by entry-wise comparisons is studied. Let τmin den...
AbstractWe say that a permutation σ∈Sn contains a permutation π∈Sk as a pattern if some subsequence ...
We review a recent development at the interface between discrete mathematics on one hand and probabi...
We give explicit formulas for the asymptotic growth rate of the number of summands in tensor powers ...
There is the same number of $n \times n$ alternating sign matrices (ASMs) as there is of descending ...
We study the possible numbers of nonconstant invariant polynomials of the matrix commutator XA - AX,...
The associahedra and permutohedra polytopes are redefined as sub-sets of discrete simplices, associa...
AbstractThe number of alternating permutations with specified peak set is calculated. A recent resul...
The lattice of monotone triangles (�n, ≼) ordered by entry-wise comparisons is studied. Let τmin den...
AbstractThe outside corners of a monomial ideal are the maximal standard monomials modulo that ideal...
In this work we consider monoids as algebras with an associative binary operation and the nullary op...
We prove that $\log n$ is an almost everywhere convergence Weyl multiplier for the orthonormal syste...
Das Problem, alternierende Vorzeichenmatrizen fixer Größe zu zählen, zeichnet sich einerseits durch ...
In this paper, we examined the computational complexity of systems of monomials for some models that...
Under what circumstances might every extension of a combinatorial structure contain more copies of a...
The lattice of monotone triangles (�n, ≼) ordered by entry-wise comparisons is studied. Let τmin den...
AbstractWe say that a permutation σ∈Sn contains a permutation π∈Sk as a pattern if some subsequence ...
We review a recent development at the interface between discrete mathematics on one hand and probabi...