Fluctuations of random Motzkin paths
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Publication:2417197
DOI10.1016/j.aam.2019.02.003zbMath1422.60029arXiv1807.10057OpenAlexW2884863344WikidataQ128346487 ScholiaQ128346487MaRDI QIDQ2417197
Publication date: 11 June 2019
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.10057
Laplace transformfree Brownian motionphase transitionscaling limitBrownian excursionfree probabilityMotzkin pathnon-crossing pair partition
Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35)
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Cites Work
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- The Matrix Ansatz, orthogonal polynomials, and permutations
- A combinatorial derivation of the PASEP stationary state
- The asymmetric exclusion process and Brownian excursions
- An invariance principle for random walk conditioned by a late return to zero
- Weak convergence to Brownian meander and Brownian excursion
- \(q\)-Gaussian processes: Non-commutative and classical aspects
- Processes with free increments
- Dual representations of Laplace transforms of Brownian excursion and generalized meanders
- Local times and excursion theory for Brownian motion. A tale of Wiener and Itô measures
- Asymmetric simple exclusion process with open boundaries and quadratic harnesses
- Tableaux combinatorics for the asymmetric exclusion process
- A note on moment generating functions
- Sur les partitions non croisées d'un cycle. (The non-crossed partitions of a cycle)
- The parallel TASEP, fixed particle number and weighted Motzkin paths
- The local structure of $q$-Gaussian processes
- Lectures on the Combinatorics of Free Probability
- Continued fractions and the partially asymmetric exclusion process
- Asymmetric exclusion model and weighted lattice paths
- Bijective recurrences for Motzkin paths
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