A logical limit law for $231$-avoiding permutations
We prove that the class of 231-avoiding permutations satisfies a logical limit law, i.e. that for any first-order sentence $\Psi$, in the language of two total orders, the probability $p_{n,\Psi}$ that a uniform random 231-avoiding permutation of size $n$ satisfies $\Psi$ admits a limit as $n$ is la...
Saved in:
| Main Authors: | Michael Albert, Mathilde Bouvel, Valentin Féray, Marc Noy |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Discrete Mathematics & Theoretical Computer Science
2024-04-01
|
| Series: | Discrete Mathematics & Theoretical Computer Science |
| Subjects: | |
| Online Access: | http://dmtcs.episciences.org/11751/pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
An Alternative Proof for the Expected Number of Distinct Consecutive Patterns in a Random Permutation
by: Anant Godbole, et al.
Published: (2024-05-01) -
A note on limits of sequences of binary trees
by: Rudolf Grübel
Published: (2023-05-01) -
A positional statistic for 1324-avoiding permutations
by: Juan B. Gil, et al.
Published: (2024-11-01) -
The number of distinct adjacent pairs in geometrically distributed words: a probabilistic and combinatorial analysis
by: Guy Louchard, et al.
Published: (2023-10-01) -
Distribution of sets of descent tops and descent bottoms on restricted permutations
by: Alexander Burstein
Published: (2025-01-01)