随机平面地图中模式和子地图出现的期望数
Expected number of pattern and submap occurrences in random planar maps
摘要：
Drmota和Stufler最近证明了当边数趋于无穷大时，给定映射的模式出现的期望数是渐近线性的。本文用另一种方法改进了他们的结果。我们的方法使我们能够开发一个系统的方法来计算显式常数的线性（主）项，并表明它是一个积极的有理数。此外，通过扩展我们的方法，我们还解决了相应的子映射出现的问题。
英文摘要：
Drmota and Stufler proved recently that the expected number of pattern occurrences of a given map is asymptotically linear when the number of edges goes to infinity. In this paper we improve their result by means of a different method. Our method allows us to develop a systematic way for computing the explicit constant of the linear (main) term and shows that it is a positive rational number. Moreover, by extending our method, we also solve the corresponding problem of submap occurrences.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
