Symmetrische Zerlegung von Kettenprodukten.
Symmetry and unimodality in the -hit numbers.
Systèmes aux -différences singuliers réguliers : classification, matrice de connexion et monodromie
G.D. Birkhoff a posé, par analogie avec le cas classique des équations différentielles, le problème de Riemann-Hilbert pour les systèmes “fuchsiens” aux -différences linéaires, à coefficients rationnels. Il l’a résolu dans le cas générique: l’objet classifiant qu’il introduit est constitué de la matrice de connexion et des exposants en et . Nous reprenons sa méthode dans le cas général, mais en traitant symétriquement et et sans recours à des solutions à croissance “sauvage”. Lorsque ...
Szemerédi theorem implies Furnsternberg theorem
Tableau cycling and Catalan numbers.
Tableaux de Young et fonctions de Schur-Littlewood
The 11-element case of Frankl's conjecture.
The factor for multi-dimensional lattice paths with diagonal steps.
The 99th Fibonacci identity.
The active bijection between regions and simplices in supersolvable arrangements of hyperplanes.
The assignment problem with three job categories
The asymptotic behavior of elementary symmetric functions on a probability distribution.
The asymptotic number of set partitions with unequal block sizes.
The average order of a permutation.
The bias of three pseudo-random shuffles.
The bias of three pseudo-random shuffles. (Short Communication).
The Borwein conjecture and partitions with prescribed hook differences.
The box parameter for words and permutations
The box parameter for words counts how often two letters w j and w k define a “box” such that all the letters w j+1; ..., w k−1 fall into that box. It is related to the visibility parameter and other parameters on words. Three models are considered: Words over a finite alphabet, permutations, and words with letters following a geometric distribution. A typical result is: The average box parameter for words over an M letter alphabet is asymptotically given by 2n − 2n H M/M, for fixed M and n → ∞.
The calculation of α-sets of representatives
The cardinal and the idempotent number of various monoids of transformations on a finite chain.