We study the thermodynamic quantities in system of $N$ independent harmonic oscillators with different frequencies Tsallis statistics entropic parameter $q$ ($1<q<2$) escort average. The self-consistent equation is derived, and physical are calculated temperature. It found that number restricted below $1/(q-1)$. energy, R\'enyi entropy, entropy obtained by solving approximately at high temperat...

in this study, analysis is presented in two steps. in the first step, the theoretical s-wave displacement spectra, conditioned by frequency-independent q, was fitted with the observed displacement spectra. therefore corner frequency, moment magnitude and frequency-independent q for each record were estimated simultaneously and the estimate of error is given in the root-mean-square sense over al...

We consider a q-analogue of abstract simplicial complexes, called q-complexes, and discuss the notion shellability for such complexes. It is shown that q-complexes formed by independent subspaces q-matroid are shellable. Further, we explicitly determine homology corresponding to uniform q-matroids. also outline some partial results concerning determination arbitrary shellable q-complexes.

A graph G is well-covered if every maximal independent set has the same cardinality q. Let ik(G) denote the number of independent sets of cardinality k in G. Brown, Dilcher, and Nowakowski conjectured that the independence sequence (i0(G), i1(G), . . . , iq(G)) was unimodal for any well-covered graph G with independence number q. Michael and Traves disproved this conjecture. Instead they posite...

We study the low temperature quench dynamics of two-dimensional Potts model in limit large number states, q >> 1. identify a q-independent crossover (the pseudo spinodal) below which no high-temperature metastability stops curvature driven coarsening process. At short length scales, latter is decorated by freezing for some lattice geometries, notably square one. With simple analytic arguments w...