Total current fluctuations in the asymmetric simple exclusion process

DOI10.1063/1.3136630zbMath1241.82051arXiv0902.0821OpenAlexW3103067480WikidataQ56950586 ScholiaQ56950586MaRDI QIDQ3583584

Craig A. Tracy, Harold Widom

Publication date: 17 August 2010

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.0821

zbMATH Keywords

Markov processesprobabilityfluctuations

Mathematics Subject Classification ID

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)

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Cites Work

• Interaction of Markov processes
• Level-spacing distributions and the Airy kernel
• Shape fluctuations and random matrices
• \(t^{1/3}\) superdiffusivity of finite-range asymmetric exclusion processes on \({\mathbb{Z}}\)
• Determinantal random point fields
• Dynamic Scaling of Growing Interfaces
• The asymmetric simple exclusion process: an integrable model for non-equilibrium statistical mechanics