163 citations · 827 across the 46 of their papers we have counts for
14 papers · 1 filter
From point processes to quantum optics and back
Rémi Bardenet, Alexandre Feller, Jérémie Bouttier +6
Some fifty years ago, in her seminal PhD thesis, Odile Macchi introduced permanental and determinantal point processes. Her initial motivation was to provide models for the set of…
Planar maps and random partitions
Jérémie Bouttier
This habilitation thesis summarizes the research that I have carried out from 2005 to 2019. It is organized in four chapters. The first three deal with random planar maps. Chapter…
The periodic Schur process and free fermions at finite temperature
Dan Betea, Jérémie Bouttier
We revisit the periodic Schur process introduced by Borodin in 2007. Our contribution is threefold. First, we provide a new simpler derivation of its correlation functions via the…
Dimers on Rail Yard Graphs
Cédric Boutillier, Jérémie Bouttier, Guillaume Chapuy +2
We introduce a general model of dimer coverings of certain plane bipartite graphs, which we call rail yard graphs (RYG). The transfer matrices used to compute the partition functio…
Loop models on random maps via nested loops: case of domain symmetry breaking and application to the Potts model
G. Borot, J. Bouttier, E. Guitter
We use the nested loop approach to investigate loop models on random planar maps where the domains delimited by the loops are given two alternating colors, which can be assigned di…
More on the O(n) model on random maps via nested loops: loops with bending energy
G. Borot, J. Bouttier, E. Guitter
We continue our investigation of the nested loop approach to the O(n) model on random maps, by extending it to the case where loops may visit faces of arbitrary degree. This allows…
A recursive approach to the O(n) model on random maps via nested loops
G. Borot, J. Bouttier, E. Guitter
We consider the O(n) loop model on tetravalent maps and show how to rephrase it into a model of bipartite maps without loops. This follows from a combinatorial decomposition that c…
Matrix integrals and enumeration of maps
J. Bouttier
This chapter is an introduction to the connection between random matrices and maps, i.e graphs drawn on surfaces. We concentrate on the one-matrix model and explain how it encodes…
Distance statistics in quadrangulations with no multiple edges and the geometry of minbus
J. Bouttier, E. Guitter
We present a detailed calculation of the distance-dependent two-point function for quadrangulations with no multiple edges. Various discrete observables measuring this two-point fu…
Distance statistics in quadrangulations with a boundary, or with a self-avoiding loop
J. Bouttier, E. Guitter
We consider quadrangulations with a boundary and derive explicit expressions for the generating functions of these maps with either a marked vertex at a prescribed distance from th…
Confluence of geodesic paths and separating loops in large planar quadrangulations
J. Bouttier, E. Guitter
We consider planar quadrangulations with three marked vertices and discuss the geometry of triangles made of three geodesic paths joining them. We also study the geometry of minima…
The three-point function of planar quadrangulations
J. Bouttier, E. Guitter
We compute the generating function of random planar quadrangulations with three marked vertices at prescribed pairwise distances. In the scaling limit of large quadrangulations, th…
Statistics of geodesics in large quadrangulations
J. Bouttier, E. Guitter
We study the statistical properties of geodesics, i.e. paths of minimal length, in large random planar quadrangulations. We extend Schaeffer's well-labeled tree bijection to the ca…
Multicritical continuous random trees
J. Bouttier, P. Di Francesco, E. Guitter
We introduce generalizations of Aldous' Brownian Continuous Random Tree as scaling limits for multicritical models of discrete trees. These discrete models involve trees with fine-…