Gauge theory of self-similar system
arXiv:cond-mat/0003469 · doi:10.1016/S0378-4371(01)00012-7
Abstract
On the basis of a dilatation invariant Lagrangian, governed equations are determined for probability density and gauge potential of the non-stationary self-similar stochastic system. It is shown that an automodel regime is observed at small time interval determined by the Tsallis' parameter . An exponential falling down happens at large time where the dilatation parameter and the partial scale tend to constant values.
8 pages, LaTeX