Fluctuations of random Motzkin paths II

Abstract

We compute limit fluctuations of random Motzkin paths with arbitrary end-points as the length of the path tends to infinity.

Expanded version with additional details, corrected typos, and significant revisions to Section 2.2

References in corpus (7)

• The asymmetric Exclusion Process and Brownian Excursions
• Askey--Wilson polynomials, quadratic harnesses and martingales
• Conditional moments of q-Meixner processes
• Markov processes related to the stationary measure for the open KPZ equation
• Limit fluctuations for density of asymmetric simple exclusion processes with open boundaries
• From the asymmetric simple exclusion processes to the stationary measures of the KPZ fixed point on an interval
• Fluctuations of random Motzkin paths

Cited by in corpus (4)

• Approximating the stationary distribution of the ASEP with open boundaries
• KPZ fluctuations in finite volume
• A two-line representation of stationary measure for open TASEP
• Limits of Random Motzkin paths with KPZ related asymptotics