Asymptotic normality of pattern counts in random maps II
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917354115432448 |
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| author | Hainzl, Eva-Maria |
| author_facet | Hainzl, Eva-Maria |
| contents | In a recent work, a central limit theorem for pattern counts in random planar maps was proven by reducing the problem to a face count problem. We provide a shorter proof by circumventing this reduction through the computation of bivariate coefficient asymptotics from a functional equation with one catalytic variable and extend the result to pattern counts with arbitrary boundary and new map classes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_19485 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Asymptotic normality of pattern counts in random maps II Hainzl, Eva-Maria Combinatorics Discrete Mathematics In a recent work, a central limit theorem for pattern counts in random planar maps was proven by reducing the problem to a face count problem. We provide a shorter proof by circumventing this reduction through the computation of bivariate coefficient asymptotics from a functional equation with one catalytic variable and extend the result to pattern counts with arbitrary boundary and new map classes. |
| title | Asymptotic normality of pattern counts in random maps II |
| topic | Combinatorics Discrete Mathematics |
| url | https://arxiv.org/abs/2603.19485 |