A hyperhelix of order N is de­ ned to be a self-similar object consisting of a thin elastic rod wound into a helix, which is itself wound into a larger helix, until this process has been repeated N times. Wave propagation on such a structure can be discussed in a hierarchical manner, ultimately in terms of the wavenumber k de­ ning propagation on the elementary rod. It is found that the dispers...

This is an introductory level survey of some topics from a new branch of fractal analysis — the theory of self-similar groups. We discuss recent works on random walks on self-similar groups and their applications to the problem of amenability for these groups.

In this paper, we introduce a new definitions of the Gray weight and the Gray map for linear codes over Z9+uZ9 with u 2 = u. Some results on self-dual codes over this ring are investigated. Further, the structural properties of quadratic residue codes are also considered. Two self-dual codes with parameters [22, 11, 5] and [24, 12, 9] over Z9 are obtained.

Current census debates in Brazil surrounding Brazilian race categories center on two contrasting proposals: the adoption of the multiracial moreno term vs. the use of the collective black classification negro. Those proposing the former base their argument on the right to self-classify according to one’s own sense of identity. Proponents of the negro category contend that it would be most effic...

In the last two decades, an enormous increase in empirical studies from the view of different network layer and from a variety of different networks has been seen. However ICMP traffic of Internet is ignored all along. In view of this, the contribution of this paper aims at filling such a gap in studying self-similarity and heavy-tail in ICMP traffic. Five different type DATA sets are investiga...

A closed form of autocorrelation functions about asymptotically self-similar processes is presented. The verification shows that this form best the realtrajfic data on Ethernet investigated satisfactorily. Ke;ywords: teletraffic modeling, long-range dependence, autocorrelation fimctions

Classical self-similar solutions to the interaction of two arbitrary planar rarefaction waves for the polytropic Euler equations in two space dimensions are constructed. The binary interaction represents a major type of interaction in the two-dimensional Riemann problems, and includes in particular the classical problem of the expansion of a wedge of gas into vacuum. Based on the hodograph tran...

We present an exact invariant solution for a point explosion in an inertially expanding medium. The blast wave dynamics continuously joins the self-similar Sedov asymptotics at early times and asymptotical comoving with the ambient medium at late times. The applications to galactic supershell blowout dynamics and cosmological explosions are discussed.

A model is proposed for a decreasing sequence of random variables (V 1 ; V 2 ;) with P n V n = 1, which generalizes the Poisson-Dirichlet distribution and the distribution of ranked lengths of excursions of a Brow-nian motion or recurrent Bessel process. Let V n be the length of the nth longest component interval of 0; 1]nZ, where Z is an a.s. non-empty random closed of (0; 1) of Lebesgue measu...

In response to Block and Barnett (2012), this paper clarifies some misunderstandings about the concept of transitivity and shows its relation to rationality, asynchronicity of choice, and indifference analysis. It is demonstrated that Block and Barnett, contrary to their self-interpretation, do not in fact attack transitivity but the assumption of stable preferences. It is argued that the stabi...