86 citations · 210 across the 16 of their papers we have counts for
10 papers · 1 filter
The Enumeration of Prudent Polygons by Area and its Unusual Asymptotics
Nicholas R. Beaton, Philippe Flajolet, Anthony J. Guttmann
Prudent walks are special self-avoiding walks that never take a step towards an already occupied site, and \emph{-sided prudent walks} (with ) are, in essence, only a…
Combinatorial Models of Creation-Annihilation
Pawel Blasiak, Philippe Flajolet
Quantum physics has revealed many interesting formal properties associated with the algebra of two operators, A and B, satisfying the partial commutation relation AB-BA=1. This stu…
Lindelöf Representations and (Non-)Holonomic Sequences
Philippe Flajolet, Stefan Gerhold, Bruno Salvy
Various sequences that possess explicit analytic expressions can be analysed asymptotically through integral representations due to Lindelöf, which belong to an attractive but some…
The height of random binary unlabelled trees
Nicolas Broutin, Philippe Flajolet
This extended abstract is dedicated to the analysis of the height of non-plane unlabelled rooted binary trees. The height of such a tree chosen uniformly among those of size is…
A Hybrid of Darboux's Method and Singularity Analysis in Combinatorial Asymptotics
Philippe Flajolet, Eric Fusy, Xavier Gourdon +2
A ``hybrid method'', dedicated to asymptotic coefficient extraction in combinatorial generating functions, is presented, which combines Darboux's method and singularity analysis th…
The Fermat cubic, elliptic functions, continued fractions, and a combinatorial excursion
Eric van Fossen Conrad, Philippe Flajolet
Elliptic functions considered by Dixon in the nineteenth century and related to Fermat's cubic, , lead to a new set of continued fraction expansions with sextic numerato…