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Gauge theory of self-similar system

Alexander I. Olemskoi
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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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Alexander I. Olemskoi. 2000-03-29. Gauge theory of self-similar system. https://doi.org/10.1016/s0378-4371(01)00012-7

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