Three-dimensional random tensor models are a natural generalization of the celebrated matrix models. The associated tensor graphs, or 3D maps, can be classified with respect to a particular integer or half-integer, the degree of the respective graph. In this paper we analyze the general term of the asymptotic expanion in $N$, the size of the tensor, of a particular random tensor model, the multi-orientable tensor model. We perform their enumeration and we establish which are the dominant configurations of a given degree.
@article{10_37236_4629,
author = {Eric Fusy and Adrian Tanasa},
title = {Asymptotic expansion of the multi-orientable random tensor model},
journal = {The electronic journal of combinatorics},
year = {2015},
volume = {22},
number = {1},
doi = {10.37236/4629},
zbl = {1310.81117},
url = {http://geodesic.mathdoc.fr/articles/10.37236/4629/}
}
TY - JOUR
AU - Eric Fusy
AU - Adrian Tanasa
TI - Asymptotic expansion of the multi-orientable random tensor model
JO - The electronic journal of combinatorics
PY - 2015
VL - 22
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.37236/4629/
DO - 10.37236/4629
ID - 10_37236_4629
ER -
%0 Journal Article
%A Eric Fusy
%A Adrian Tanasa
%T Asymptotic expansion of the multi-orientable random tensor model
%J The electronic journal of combinatorics
%D 2015
%V 22
%N 1
%U http://geodesic.mathdoc.fr/articles/10.37236/4629/
%R 10.37236/4629
%F 10_37236_4629
Eric Fusy; Adrian Tanasa. Asymptotic expansion of the multi-orientable random tensor model. The electronic journal of combinatorics, Tome 22 (2015) no. 1. doi: 10.37236/4629
