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Walks and animals: applications of the theory of heaps of pieces
The goal of this thesis is to establish enumerative results on several classes of paths and animals. These results are applications of the theory of heaps of pieces... -
Airy Phenomena and Analytic Combinatorics of Connected Graphs
Until now, the enumeration of connected graphs has been dealt with by probabilistic methods, by special combinatorial decompositions or by somewhat indirect formal... -
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... -
On the Robustness of Interconnections in Random Graphs: A Symbolic Approach
Graphs are models of communication networks. This paper applies symbolic combinatorial techniques in order to characterize the interplay between two parameters of a... -
Analytic Combinatorics of Chord Diagrams
In this paper we study the enumeration of diagrams of n chords joining 2n points on a circle in disjoint pairs. We establish limit laws for the following three... -
Fully Analyzing an Algebraic Polya Urn Model
International audience -
Boltzmann Sampling of Unlabelled Structures
International audience -
Analytic combinatorics and urn models
version du 25 Juin 2013 -
Algorithms, words and random texts
In this memoir , I examine different aspects of a simple but ubiquitous computer object: the string or sequence of symbols. The string of characters concept is at the... -
An application of results by Hardy, Ramanujan and Karamata to Ackermannian fu...
International audience -
One Day in Twitter: Topic Detection Via Joint Complexity
International audience -
Planar maps and Airy phenomena
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