177 citations · 906 across the 50 of their papers we have counts for
4 papers · 1 filter
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…
Resolvent methods for steady premixed flame shapes governed by the Zhdanov-Trubnikov equation
Gaëtan Borot, Bruno Denet, Guy Joulin
Using pole decompositions as starting points, the one parameter (-1 =< c < 1) nonlocal and nonlinear Zhdanov-Trubnikov (ZT) equation for the steady shapes of premixed gaseous flame…
All-order asymptotics of hyperbolic knot invariants from non-perturbative topological recursion of A-polynomials
Gaëtan Borot, Bertrand Eynard
We propose a conjecture to compute the all-order asymptotic expansion of the colored Jones polynomial of the complement of a hyperbolic knot, J_N(q = exp(2u/N)) when N goes to infi…
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…