Publications in Scientific Journals:
M. Drmota, B. Stufler:
"Pattern occurrences in random planar maps";
Statistics & Probability Letters,
158
(2020),
108666.
English abstract:
We consider planar maps adjusted with a (regular critical) Boltzmann distribution and show that the expected number of pattern occurrences of a given map is asymptotically linear when the number
of edges goes to infinity. The main ingredient for the proof is an extension of a formula by Liskovets (1999).
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1016/j.spl.2019.108666
Created from the Publication Database of the Vienna University of Technology.