Topological Expansion in the Cubic Random Matrix Model
نویسندگان
چکیده
منابع مشابه
Topological Expansion in the Cubic Random Matrix Model
In this paper, we study the topological expansion in the cubic random matrix model, and we evaluate explicitly the expansion coefficients for genus 0 and 1. For genus 0 our formula coincides with the one in [6]. For higher genus, we obtain the asymptotic behavior of the coefficients in the expansion as the number of vertices of the associated graphs tends to infinity. Our study is based on the ...
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In this paper we study the topological expansion in the cubic random matrix model, and we evaluate explicitly the expansion coefficients for genus 0 and 1. For genus 0 our formula coincides with the one of Brézin, Itzykson, Parisi and Zuber [5]. For the expansion coefficients of higher genus we obtain their asymptotic behavior as the number of vertices of the associated graphs tends to infinity.
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2012
ISSN: 1687-0247,1073-7928
DOI: 10.1093/imrn/rns126