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  • 标题:The local limit of unicellular maps in high genus
  • 本地全文:下载
  • 作者:Angel, Omer ; Chapuy, Guillaume ; Curien, Nicolas
  • 期刊名称:Electronic Communications in Probability
  • 印刷版ISSN:1083-589X
  • 出版年度:2013
  • 卷号:18
  • 页码:1-8
  • DOI:10.1214/ECP.v18-3037
  • 语种:English
  • 出版社:Electronic Communications in Probability
  • 摘要:We show that the local limit of unicellular maps whose genus is proportional to the number of edges is a supercritical geometric Galton-Watson tree conditioned to survive. The proof relies on enumeration results obtained via the recent bijection given by the second author together with Feray and Fusy.
  • 关键词:Local limits, Unicellular maps, Lehmann-Walsh formula;60B05;60B10;97K50
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