Journal
ENTROPY
Volume 22, Issue 9, Pages -Publisher
MDPI
DOI: 10.3390/e22090972
Keywords
random complex and random unitary matrices; matrix models; products of random matrices; Schur polynomial; Hurwitz number; generalized hypergeometric functions; integrable systems
Categories
Funding
- Russian Foundation for Basic Research [18-01-00273a, 19-02-00815, 18-02-01081]
Ask authors/readers for more resources
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 drawn on a closed connected orientable surface (in the sky). The vertices of such a graph are small disks that we call stars. We attach random matrices to the edges of the graph and get multimatrix models. Additionally, to the stars we attach source matrices. They play the role of free parameters or model coupling constants. The answers for our integrals are expressed through quantities that we call the spectrum of stars. The answers may also include some combinatorial numbers, such as Hurwitz numbers or characters from group representation theory.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available