Compact Brownian surfaces I: Brownian disks
نویسندگان
چکیده
منابع مشابه
Compact Brownian surfaces I. Brownian disks
We show that, under certain natural assumptions, large random plane bipartite maps with a boundary converge after rescaling to a one-parameter family (BDL, 0 < L < ∞) of random metric spaces homeomorphic to the closed unit disk of R2, the space BDL being called the Brownian disk of perimeter L and unit area. These results can be seen as an extension of the convergence of uniform plane quadrangu...
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ژورنال
عنوان ژورنال: Probability Theory and Related Fields
سال: 2017
ISSN: 0178-8051,1432-2064
DOI: 10.1007/s00440-016-0752-y