Gauge theory of self-similar system

Alexander I Olemskoi

Physica A: Statistical Mechanics and its Applications, 2001, vol. 295, issue 3, 409-415

Abstract: 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.

Keywords: Jackson's derivative; Dilatation parameter; Probability distribution (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:295:y:2001:i:3:p:409-415

DOI: 10.1016/S0378-4371(01)00012-7

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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