9 citations · 21 across the 6 of their papers we have counts for
6 papers
On the scaling of random Tamari intervals and Schnyder woods of random triangulations (with an asymptotic D-finite trick)
Guillaume Chapuy
We consider a Tamari interval of size (i.e., a pair of Dyck paths which are comparable for the Tamari relation) chosen uniformly at random. We show that the height of a uniform…
Distances and isoperimetric inequalities in random triangulations of high genus
Thomas Budzinski, Guillaume Chapuy, Baptiste Louf
We prove that uniform random triangulations whose genus is proportional to their size have diameter of order with high probability. We also show that in such triangula…
Topological recursion for Orlov-Scherbin tau functions, and constellations with internal faces
Valentin Bonzom, Guillaume Chapuy, Séverin Charbonnier +1
We study the correlators arising from Orlov-Scherbin 2-Toda tau functions with rational content-weight , at arbitrary values of the two sets of time parameters. Com…
The asymptotic number of -Avoiding Words with occurrences of each letter
Guillaume Chapuy
Following Ekhad and Zeilberger (The Personal Journal of Shalosh B. Ekhad and Doron Zeilberger, Dec 5 2014; see also arXiv:1412.2035), we study the asymptotics for large of the…
Simple recurrence formulas to count maps on orientable surfaces
Sean R. Carrell, Guillaume Chapuy
We establish a simple recurrence formula for the number of rooted orientable maps counted by edges and genus. We also give a weighted variant for the generating polynomial…
A note on a Cayley graph of S_n
Guillaume Chapuy, Valentin Féray
Recently in graph theory several authors have studied the spectrum of the Cayley graph of the symmetric group S_n generated by the transpositions (1, i) for 2 <= i <= n. Several co…