STATISTICAL PROPERTIES OF RANDOM WAVE GROUPS

Statistical Properties of Random Spin

Statistical properties of subgroups of free groups

The usual way to investigate the statistical properties of finitely generated subgroups of free groups, and of finite presentations of groups, is based on the so-called word-based distribution: subgroups are generated (finite presentations are determined) by randomly chosen k-tuples of reduced words, whose maximal length is allowed to tend to infinity. In this paper we adopt a different, though...

Experimental and Numerical Study of Evolution of Statistical Properties of Unidirectional Narrow-Banded Steep Wave Groups

Unidirectional random waves generated by a wavemaker in a 300-mlong wave tank are investigated experimentally. Spatial evolution of numerous statistical wave field parameters is studied. It is found that the frequency spectrum of the wave field undergoes significant variation in the course of its evolution along the tank; the values of all statistical wave parameters are strongly related to the...

Statistical Properties of the Drift Wave Fluctuations

The nature of turbulence in macroscopically confined plasmas is reviewed and contrasted to turbulence in hydrodynamics. The statistical properties of the fluctuations are analyzed both from the Gibb’s distribution for the soliton gas model of the electrostatic field and for the Hamiltonian field theory equilibrium statistics. For that purpose, nonlinear drift wave equations are derived from two...

Statistical properties of astrophysical gravitational-wave backgrounds

We investigate how a stochastic gravitational wave background, produced from a discrete set of astrophysical sources, differs from an idealised model consisting of an isotropic, unpolarised, and Gaussian background. We focus, in particular, on the different signatures produced from these two cases, as observed in a cross-correlation search. We show that averaged over many realisations of an ast...