Compact Brownian Surfaces II
Orientable Surfaces
Jérémie Bettinelli
CNRS and École Polytechnque, Palaiseau, FranceGrégory Miermont
École Normale Supérieure de Lyon and Institut Universitaire de France, France
This book is published open access.
| FrontmatterDownload pp. i–iv | |
| AbstractDownload p. v | |
| ContentsDownload pp. vii–viii | |
| 1 | IntroductionDownload pp. 1–16 |
| 2 | Variants of the Cori–Vauquelin–Schaeffer bijectionDownload pp. 17–30 |
| 3 | Marking and gluing along geodesicsDownload pp. 31–54 |
| 4 | Convergence of composite slicesDownload pp. 55–76 |
| 5 | Convergence of quadrilaterals with geodesic sidesDownload pp. 77–98 |
| 6 | Construction from a continuous unicellular mapDownload pp. 99–104 |
| A | Technical lemmas on the Brownian planeDownload pp. 105–110 |
| B | Scaling limit of size parameters in labeled mapsDownload pp. 111–122 |
| ReferencesDownload pp. 123–127 |