The permuton limit of strong-Baxter and semi-Baxter permutations is the skew Brownian permuton
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Publication:2105167
DOI10.1214/22-EJP886MaRDI QIDQ2105167
Publication date: 8 December 2022
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.00159
permutationsstochastic differential equationsscaling limitsskew Brownian motionspermutonstwo-dimensional random walks in cones
Sums of independent random variables; random walks (60G50) Permutations, words, matrices (05A05) Combinatorial probability (60C05) Stochastic functional-differential equations (34K50)
Related Items (4)
The skew Brownian permuton: A new universality class for random constrained permutations ⋮ On the enumeration of plane bipolar posets and transversal structures ⋮ Baxter permuton and Liouville quantum gravity ⋮ Power-law bounds for increasing subsequences in Brownian separable permutons and homogeneous sets in Brownian cographons
Cites Work
- Baxter permutations and plane bipolar orientations
- A decorated tree approach to random permutations in substitution-closed classes
- Local probabilities for random walks conditioned to stay positive
- On the constructions of the skew Brownian motion
- One-sided local large deviation and renewal theorems in the case of infinite mean
- Four classes of pattern-avoiding permutations under one roof: Generating trees with two labels
- The Brownian limit of separable permutations
- Scaling and local limits of Baxter permutations and bipolar orientations through coalescent-walk processes
- Invariance principles for random walks in cones
- Universal limits of substitution-closed permutation classes
- Slicings of parallelogram polyominoes: Catalan, Schröder, Baxter, and other sequences
- Liouville quantum gravity spheres as matings of finite-diameter trees
- Random walks in cones
- Bipolar orientations on planar maps and \(\mathrm{SLE}_{12}\)
- Limit theorem for perturbed random walks
- Conditional limit theorems for asymptotically stable random walks
- Semi-Baxter and Strong-Baxter: Two Relatives of the Baxter Sequence
- On the Brownian separable permuton
- Asymptotic normality of consecutive patterns in permutations encoded by generating trees with one‐dimensional labels
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