We study a class of self-similar processes with stationary increments
belonging to higher order Wiener chaoses which are similar to Hermite
processes. We obtain an almost sure wavelet-like expansion of these processes.
This allows us to compute the pointwise and local H\"older regularity of sample
paths and to analyse their behaviour at infinity. We also provide some results
on the Hausdorff dimension of the range and graphs of multidimensional
anisotropic self-similar processes with stationary increments defined by
multiple Wiener integrals.Comment: 22 page