On tessellations of random maps and the $$t_g$$ t g -recurrence-Reference-Cited by-同舟云学术

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On tessellations of random maps and the $$t_g$$ t g -recurrence

Published:2018-09-06 Issue:1-2 Volume:174 Page:477-500
ISSN:0178-8051
Container-title:Probability Theory and Related Fields
language:en
Short-container-title:Probab. Theory Relat. Fields

Author:

Chapuy Guillaume

Funder

Agence Nationale de la Recherche

Ville de Paris

European Research Council

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00440-018-0865-6.pdf

Reference28 articles.

1. Addario-Berry, L., Angel, O., Chapuy, G., Fusy, É., Goldschmidt, C.: Voronoi tessellations in the CRT and continuum random maps of finite excess. In: Proceedings of SODA 2018, New Orleans (2018)

2. Bender, E.A., Canfield, E.R.: The asymptotic number of rooted maps on a surface. J. Combin. Theory Ser. A 43(2), 244–257 (1986)

3. Bettinelli, J.: Scaling limits for random quadrangulations of positive genus. Electron. J. Probab. 15(52), 1594–1644 (2010)

4. Bettinelli, J.: The topology of scaling limits of positive genus random quadrangulations. Ann. Probab. 40(5), 1897–1944 (2012)

5. Bender, E.A., Gao, Z., Richmond, L.B.: The map asymptotics constant $$t_g$$ t g . Electron. J. Combin. 15(1):Research paper 51, 8 (2008)

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