Abstract: We investigate the
statistics of rogue waves occurring in the inverse cascade of
surface gravity wave turbulence. In such statistically
homogeneous, stationary and isotropic wave fields, low-frequency
waves are generated by nonlinear interactions rather than
directly forced by a wave maker. This provides a laboratory
realization of arguably the simplest nonlinear sea state, in
which long-time acquisitions are performed and compared with
theoretical models. The analysis of thousands of rogue waves
reveals that some of their properties crucially depend on
four-wave resonant interactions, large crests being for instance
more likely than predicted by second-order models.