14 citations · 14 across the 6 of their papers we have counts for
9 papers
Enumeration of general planar hypermaps with an alternating boundary
Valentin Baillard, Ariane Carrance, Bertrand Eynard
In this paper, we extend the enumerative study of planar hypermaps with an alternating boundary introduced in an earlier work of Bouttier and the second author. In that article, an…
The Ising model on cubic maps: arbitrary genus
Mireille Bousquet-Mélou, Ariane Carrance, Baptiste Louf
We design a recursive algorithm to compute the partition function of the Ising model, summed over cubic maps with fixed size and genus. The algorithm runs in polynomial time, which…
Stable quadrangulations and stable spheres
Eleanor Archer, Ariane Carrance, Laurent Ménard
We consider scaling limits of random quadrangulations obtained by applying the Cori-Vauquelin-Schaeffer bijection to Bienaymé-Galton-Watson trees with stably-decaying offspring tai…
Some properties of stable snakes
Eleanor Archer, Ariane Carrance, Laurent Ménard
We prove some technical results relating to the Brownian snake on a stable Lévy tree. This includes some estimates on the range of the snake, estimates on its occupation measure ar…
Random trees with local catastrophes: the Brownian case
Ariane Carrance, Jérôme Casse, Nicolas Curien
We introduce and study a model of plane random trees generalizing the famous Bienaymé--Galton--Watson model but where births and deaths are locally correlated. More precisely, give…
Enumeration of planar constellations with an alternating boundary
Jérémie Bouttier, Ariane Carrance
A planar hypermap with a boundary is defined as a planar map with a boundary, endowed with a proper bicoloring of the inner faces. The boundary is said alternating if the colors of…
Convergence of Eulerian triangulations
Ariane Carrance
We prove that properly rescaled large planar Eulerian triangulations converge to the Brownian map. This result requires more than a standard application of the methods that have be…
Uniform random colored complexes
Ariane Carrance
We present here random distributions on -edge-colored, bipartite graphs with a fixed number of vertices . These graphs are dual to -dimensional orientable colored com…
Dipolar atomic spin ensembles in a double-well potential
A. de Paz, B. Naylor, J. Huckans A. Carrance +5
We experimentally study the spin dynamics of mesoscopic ensembles of ultracold magnetic spin-3 atoms located in two separated wells of an optical dipole trap. We use a radio-freque…