Uniform infinite planar triangulation and related time-reversed critical branching process

Journal of Mathematical Sciences

Volumn 131, Issue 2, 2005, Pages 5520-5537

  Krikun, M A ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 26644449219     PISSN: 10723374     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10958-005-0424-4     Document Type: Article

References (8)

1. O. Angel and O. Schramm, "Uniform infinite planar triangulations" (2002); arXiv:math.PR/0207153.
2. O. Angel, "Growth and percolation on the uniform random infinite planar triangulation" (2002); arXiv:math.PR/0208123.
3. I. Goulden and D. Jackson, Combinatorial Enumeration, John Wiley & Sons, New York (1983).
4. W. Tutte, "A census of planar triangulations," Canad. J. Math., 14, 21-38 (1962).
5. M. Krikun and V. A. Malyshev, "Random boundary of a planar map," in: Trends in Mathematics. Mathematics and Computer Science. II, D. Gardy and A. Mokkadem (eds.), Birkhäuser, Basel (2002).
6. B. L. Richmond and N. C. Wormald, "Almost all maps are asymmetric," J. Combin. Theory Ser. B, 63, No. 1, 1-7 (1995).
7. J. Ambjorn and Y. Watabiki, "Scaling in quantum gravity," Nuclear Phys. B, 445, No. 1, 129-142 (1995).
8. W. Tutte, Graph Theory, Addison-Wesley (1984).