23 citations · 42 across the 16 of their papers we have counts for
4 papers · 1 filter
Möbius inversion formula for monoids with zero
Laurent Poinsot, Gérard Duchamp, Christophe Tollu
The Möbius inversion formula, introduced during the 19th century in number theory, was generalized to a wide class of monoids called locally finite such as the free partially commu…
Statistics on Graphs, Exponential Formula and Combinatorial Physics
L. Poinsot, G. H. E. Duchamp, S. Goodenough +1
The concern of this paper is a famous combinatorial formula known under the name "exponential formula". It occurs quite naturally in many contexts (physics, mathematics, computer s…
Ladder Operators and Endomorphisms in Combinatorial Physics
Gérard Henry Edmond Duchamp, Laurent Poinsot, Allan I. Solomon +3
Starting with the Heisenberg-Weyl algebra, fundamental to quantum physics, we first show how the ordering of the non-commuting operators intrinsic to that algebra gives rise to gen…
A formal calculus on the Riordan near algebra
Laurent Poinsot, Gérard Duchamp
The Riordan group is the semi-direct product of a multiplicative group of invertible series and a group, under substitution, of non units. The Riordan near algebra, as introduced i…