3 citations · 3 across the 4 of their papers we have counts for
7 papers
Stretched exponential asymptotics for bases of triangular bootstrap percolation
Andrew Elvey Price, Juliette Schabanel, Paul Thévenin
In this paper, we study a bootstrap percolation process on the finite triangular grid of side length . We say that a subset of points in pe…
Components in meandric systems and the infinite noodle
Valentin Féray, Paul Thévenin
We investigate here the asymptotic behaviour of a large typical meandric system. More precisely, we show the quenched local convergence of a random uniform meandric system on…
Convergence of trees with a given degree sequence and of their associated laminations
Gabriel Berzunza Ojeda, Cecilia Holmgren, Paul Thévenin
In this paper, we study uniform rooted plane trees with given degree sequence. We show, under some natural hypotheses on the degree sequence, that these trees converge toward the s…
Random generation and scaling limits of fixed genus factorizations into transpositions
Valentin Féray, Baptiste Louf, Paul Thévenin
We study the asymptotic behaviour of random factorizations of the -cycle into transpositions of fixed genus . They have a geometric interpretation as branched covers of the…
Points and lines configurations for perpendicular bisectors of convex cyclic polygons
Paul Melotti, Sanjay Ramassamy, Paul Thévenin
We characterize the topological configurations of points and lines that may arise when placing n points on a circle and drawing the n perpendicular bisectors of the sides of the co…
A geometric representation of fragmentation processes on stable trees
Paul Thévenin
We provide a new geometric representation of a family of fragmentation processes by nested laminations, which are compact subsets of the unit disk made of noncrossing chords. We sp…
Vertices with fixed outdegrees in large Galton-Watson trees
Paul Thévenin
We are interested in nodes with fixed outdegrees in large conditioned Galton--Watson trees. We first study the scaling limits of processes coding the evolution of the number of suc…