Stamp Ornamented Pottery From the Kniazha Hora Site (based on excavations 1958–1965)

The article is devoted to the publication of the pottery with a stamp design from the Kniazha Hora Old Rus fortress. During field seasons of 1958–1965, a representative collection of ceramic products was found on the settlement by a detachment of the Slavic-Rus archaeology of the Kaniv complex expedition under the direction of Halyna Mezentseva. Pots that are decorated with geometric figures-stamps are noteworthy because they are rare for the Kniazha Hora area. Studying ornamentation is very important because the décor reflects some aspects of the spiritual culture of ancient population. However, these unique findings have not been given due attention by previous researchers. In the papers, the stamp type of ornament is associated with the West Slavonic tradition. It testifies one more peculiarity of the Old Rus society’s culture, in particular, of the Kniazha Hora fortress

Two-parametric fractional statistics models for anyons

In the paper, two-parametric models of fractional statistics are proposed in order to determine the functional form of the distribution function of free anyons. From the expressions of the second and third virial coefficients, an approximate correspondence is shown to hold for three models, namely, the nonextensive Polychronakos statistics and both the incomplete and the nonextensive modifications of the Haldane--Wu statistics. The difference occurs only in the fourth virial coefficient leading to a small correction in the equation of state. For the two generalizations of the Haldane--Wu statistics, the solutions for the statistics parameters $g,q$ exist in the whole domain of the anyonic parameter $\alpha\in[0;1]$, unlike the nonextensive Polychronakos statistics. It is suggested that the search for the expression of the anyonic distribution function should be made within some modifications of the Haldane--Wu statistics.Comment: 14 pages, 3 figure