2024
DOI: 10.21468/scipostphyslectnotes.81
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KPZ fluctuations in finite volume

Sylvain Prolhac

Abstract: These lecture notes, adapted from the habilitation thesis of the author, survey in a first part various exact results obtained in the past few decades about KPZ fluctuations in one dimension, with a special focus on finite volume effects describing the relaxation to its stationary state of a finite system starting from a given initial condition. The second part is more specifically devoted to an approach allowing to express in a simple way the statistics of the current in the totally asymmetric simple exclusio… Show more

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