Gauge theory of self-similar system

On the basis of a dilatation invariant Lagrangian, equations governing probability density and gauge potential of the non-stationary self-similar stochastic system are determined. It is shown that an automodel regime is realized at small time interval determined by the Tsallis’ parameter q>1. An exponential decay occurs at large time where the dilatation parameter and the partial scale tend to constant values.

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Year of publication:	2001
Authors:	Olemskoi, Alexander I
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 295.2001, 3, p. 409-415
Publisher:	Elsevier
Subject:	Jackson's derivative \| Dilatation parameter \| Probability distribution

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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