Abstract
The time-integrated current of the TASEP has non-Gaussian fluctuations of order t1/3. The recently discovered connection to random matrices and the Painlevé II Riemann-Hilbert problem provides a technique through which we obtain the probability distribution of the current fluctuations, in particular their dependence on initial conditions, and the stationary two-point function. Some open problems are explained.
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Prähofer, M., Spohn, H. (2002). Current Fluctuations for the Totally Asymmetric Simple Exclusion Process. In: Sidoravicius, V. (eds) In and Out of Equilibrium. Progress in Probability, vol 51. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0063-5_7
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DOI: https://doi.org/10.1007/978-1-4612-0063-5_7
Publisher Name: Birkhäuser, Boston, MA
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