Gauge theory of self-similar system
Alexander I. Olemskoi
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 q>1. An exponential falling down happens at large time where the dilatation parameter and the partial scale tend to constant values.
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