How big are the big waves?
K. Podgórski, I. Rychlik, J. Rydén, E. Sjö
Centre for Mathematical Sciences
Lund Institute of Technology,
We discuss various aspects of statistical distributions for large waves.
Spatial waves evolving in time are considered. We call such a wave extremal
if its crest height attains a local maximum in time. For extremal waves,
the joint distribution of the wave length and the crest height is obtained.
Generally, it is observed that taking into account time dynamics of spatial
characteristics results in distributions different from those obtained for
static records. Some other statistical issues for large waves are also discussed
including, the Rayleigh model for the crest height, the evolution of wave
groups, and the myth of the seventh wave.
Gaussian fields, local extremes, wave period, wave length, extremal waves