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Fourth-Order CONFAC Decomposition Approach for Blind Identification of UnderD...
International audience -
Analytic combinatorics : functional equations, rational and algebraic functions
This report is part of a series whose aim is to present in a synthetic way the major methods and models in analytic combinatorics. Here, we detail the case of rational... -
Some exact asymptotics in the counting of walks in the quarter-plane
International audience -
The complete Generating Function for Gessel Walks is Algebraic
Gessel walks are lattice walks in the quarter plane $\set N^2$ which start at the origin $(0,0)\in\set N^2$ and consist only of steps chosen from the set... -
Generating functions for volume-preserving transformations
International audience -
A note on Quarks and numbers theory
We express the basis vectors of Cartan fundamental representations of unitary groups by binary numbers. We determine the expression of Gel'fand basis of SU (3) based... -
Applications of generating function method to the symmetry and the Kronecker ...
Using the generating function of SU(n) we find the conjugate state of SU(n) basis and we find in terms of Gel'fand basis of SU(3(n-1)) the representation of the... -
Generalized Schröder permutations
International audience -
New kinds of deformed Bessel functions
15 pages, minor changes. -
Descendants and ascendants in binary trees
International audience -
A note on the normalization of the momentum eigenfunctions and Dirac delta fu...
We determine the generating function of the harmonic oscillator by a new method. Using this generating function we derive the eigenfunctions of the moment p. We find... -
Series acceleration formulas for beta values
International audience
