TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysLectNotes.81
TI  - KPZ fluctuations in finite volume
PY  - 2024/06/12
UR  - https://scipost.org/SciPostPhysLectNotes.81
JF  - SciPost Physics Lecture Notes
JA  - SciPost Phys. Lect. Notes
SP  - 81
A1  - Prolhac, Sylvain
AB  - 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 exclusion process in terms of a contour integral on a compact Riemann surface, whose infinite genus limit leads to KPZ fluctuations in finite volume.
ER  -

@Article{10.21468/SciPostPhysLectNotes.81,
	title={{KPZ fluctuations in finite volume}},
	author={Sylvain Prolhac},
	journal={SciPost Phys. Lect. Notes},
	pages={81},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhysLectNotes.81},
	url={https://scipost.org/10.21468/SciPostPhysLectNotes.81},
}