The Brownian plane with minimal neck baby universe. Issue 4 (12th April 2017)
- Record Type:
- Journal Article
- Title:
- The Brownian plane with minimal neck baby universe. Issue 4 (12th April 2017)
- Main Title:
- The Brownian plane with minimal neck baby universe
- Authors:
- Wen, Yuting
- Abstract:
- Abstract: For each n ∈ ℕ, let Q n be a uniform rooted quadrangulation, endowed with an appropriate measure, of size n conditioned to have r ( n ) vertices in its root block. We prove that for a suitable function r ( n ), after rescaling graph distance by ( 21 40 · r ( n ) ) 1 / 4, Q n converges to a random pointed non‐compact metric measure space S, in the local Gromov‐Hausdorff‐Prokhorov topology. The space S is built by identifying a uniform point of the Brownian map with the distinguished point of the Brownian plane. © 2017 Wiley Periodicals, Inc. Random Struct. Alg., 51, 729–752, 2017
- Is Part Of:
- Random structures & algorithms. Volume 51:Issue 4(2017)
- Journal:
- Random structures & algorithms
- Issue:
- Volume 51:Issue 4(2017)
- Issue Display:
- Volume 51, Issue 4 (2017)
- Year:
- 2017
- Volume:
- 51
- Issue:
- 4
- Issue Sort Value:
- 2017-0051-0004-0000
- Page Start:
- 729
- Page End:
- 752
- Publication Date:
- 2017-04-12
- Subjects:
- Brownian map -- Brownian plane -- scaling limit -- local Gromov‐Hausdorff‐Prokhorov topology -- quadrangulation -- connectivity -- core -- condensation -- random allocation
Random graphs -- Periodicals
Mathematical analysis -- Periodicals
519 - Journal URLs:
- http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1098-2418 ↗
http://onlinelibrary.wiley.com/ ↗ - DOI:
- 10.1002/rsa.20722 ↗
- Languages:
- English
- ISSNs:
- 1042-9832
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 7254.411950
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 4741.xml