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We present experimental results on simultaneous space-time measurements forthe gravity wave turbulence in a large laboratory flume. We compare theseresults with predictions of the weak turbulence theory (WTT) based on randomwaves, as well as with predictions based on the coherent singular wave crests.We see that both wavenumber and the frequency spectra are not universal anddependent on the wave strength, with some evidence in favor of WTT at largerwave intensities when the finite flume effects are minimal. We present furthertheoretical analysis of the role of the random and coherent waves in the waveprobability density function (PDF) and the structure functions (SFs). Analyzingour experimental data we found that the random waves and the coherentstructures/breaks coexist: the former show themselves in a quasi-gaussian PDFcore and in the low-order SFs, and the latter - in the PDF tails and thehigh-order SF's. It appears that the x-space signal is more intermittent thanthe t-space signal, and the x-space SFs capture more singular coherentstructures than do the t-space SFs. We outline an approach treating theinteractions of these random and coherent components as a turbulence cyclecharacterized by the turbulence fluxes in both the wavenumber and the amplitudespaces.

Statistics of surface gravity wave turbulence in the space and time domains