Formal matrix integrals and combinatorics of maps

Details Formal matrix integrals and combinatorics of maps Formal matrix integrals and combinatorics of maps

2006-11-30

arxiv.org/abs/math-ph/0611087v3

Physics

Mathematical Physics

few misprints corrected, biblio modified

Scientific paper

This article is a short review on the relationship between convergent matrix integrals, formal matrix integrals, and combinatorics of maps. We briefly summarize results developed over the last 30 years, as well as more recent discoveries. We recall that formal matrix integrals are identical to combinatorial generating functions for maps, and that formal matrix integrals are in general very different from convergent matrix integrals. Finally, we give a list of the classical matrix models which have played an important role in physics in the past decades. Some of them are now well understood, some are still difficult challenges.

Affiliated with

Also associated with

No associations

Rating

Formal matrix integrals and combinatorics of maps does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Formal matrix integrals and combinatorics of maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Formal matrix integrals and combinatorics of maps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-423159