Limit theorems for random Motzkin paths near boundary
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Publication:6565318
DOI10.3150/23-BEJ1669MaRDI QIDQ6565318
Publication date: 2 July 2024
Published in: Bernoulli (Search for Journal in Brave)
Motzkin pathsrandom walk conditioned to stay positivediscrete Bessel processMatrix AnsatzViennot's formula
Central limit and other weak theorems (60F05) Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)
Cites Work
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- A theorem of Pitman type for simple random walks on \(Z^ d\)
- The asymmetric exclusion process and Brownian excursions
- An invariance principle for random walk conditioned by a late return to zero
- On conditioning a random walk to stay nonnegative
- Asymmetric simple exclusion process with open boundaries and quadratic harnesses
- Fluctuations of random Motzkin paths
- Discrete \(q\)-distributions
- Ergodic Theorems for the Asymmetric Simple Exclusion Process
- One-dimensional Brownian motion and the three-dimensional Bessel process
- Markov limits of steady states of the KPZ equation on an interval
- Stationary measures of the KPZ equation on an interval from Enaud–Derrida’s matrix product ansatz representation
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