Isosystolic inequalities and the topological expansion for random surface and matrix models

DOI10.1007/BF02102734zbMath0739.53032MaRDI QIDQ1814280

Vincent Rivasseau

Publication date: 25 June 1992

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

genusmatrix modelsrandom surfacesisosystolic inequalities

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Relations of low-dimensional topology with graph theory (57M15)

Cites Work

• Bounds on completely convergent Euclidean Feynman graphs
• Recent progress in the theory of noncritical strings
• Über Extremallängen auf geschlossenen Flächen
• A method of integration over matrix variables
• Planar diagrams
• Divergence of perturbation theory for bosons
• Lectures on geodesics in Riemannian geometry
• DIFFERENTIALS AND EXTREMAL LENGTH ON RIEMANN SURFACES
• Nonperturbative two-dimensional quantum gravity

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