DOAJ
Open Access
2008
The continuous limit of large random planar maps
Jean-François Le Gall
Abstrak
We discuss scaling limits of random planar maps chosen uniformly over the set of all $2p$-angulations with $n$ faces. This leads to a limiting space called the Brownian map, which is viewed as a random compact metric space. Although we are not able to prove the uniqueness of the distribution of the Brownian map, many of its properties can be investigated in detail. In particular, we obtain a complete description of the geodesics starting from the distinguished point called the root. We give applications to various properties of large random planar maps.
Topik & Kata Kunci
Penulis (1)
J
Jean-François Le Gall
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2008
- Sumber Database
- DOAJ
- DOI
- 10.46298/dmtcs.3554
- Akses
- Open Access ✓