N. Amburg

activity

20182022

most citedOn Products of Random Matrices

14 citations · 14 across the 1 of their papers we have counts for

collaborators

3 papers

math-ph2022★ 14 cited

On Products of Random Matrices

Natalia Amburg, Aleksandr Yu. Orlov, Dmitry Vasiliev

We introduce a family of models, which we name matrix models associated with children's drawings -- the so-called dessin d'enfant. Dessins d'enfant are graphs of a special kind dra…

hep-th2019

Correspondence between Feynman diagrams and operators in quantum field theory that emerges from tensor model

N. Amburg, H. Itoyama, A. Mironov +3

A novel functorial relationship in perturbative quantum field theory is pointed out that associates Feynman diagrams (FD) having no external line in one theory $Th_{1}$ with si…

math.AG2018

Poincare polynomial for the moduli space $M_{0, n} (C)$ and the number of points in $M_{0, n} (F_{q})$

N. Amburg, E. Kreines, G. Shabat

We obtain a combinatorial proof that the number of points of the space $M_{0, n} (F_{q})$ satisfies the recurrent formula for Poincare polynomials of th…

On Products of Random Matrices

Correspondence between Feynman diagrams and operators in quantum field theory that emerges from tensor model

Poincare polynomial for the moduli space M0,n​​(C) and the number of points in M0,n​​(Fq​)

Poincare polynomial for the moduli space $M_{0, n} (C)$ and the number of points in $M_{0, n} (F_{q})$