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Information × Registration Number 2109U000802, Article popup.category Стаття Title popup.author popup.publication 01-01-2009 popup.source_user Сумський державний університет popup.source http://essuir.sumdu.edu.ua/handle/123456789/3032 popup.publisher Physica A Description We consider self-similar statistical ensembles with the phase space whose volume is invariant under the deformation that squeezes (expands) the coordinate and expands (squeezes) the momentum. The related probability distribution function is shown to possess a discrete symmetry with respect to manifold action of the Jackson derivative to be a homogeneous function with a self-similarity degree q fixed by the condition of invariance under (n+1)- fold action of the related dilatation operator. In slightly deformed phase space, we find the homogeneous function is defined with the linear dependence at n=0, whereas the self-similarity degree equals the gold mean at n=1, and q->1 in the limit n->(infinite). Dilatation of the homogeneous function is shown to decrease the self-similarity degree q at n>0. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/3032 popup.nrat_date 2025-05-12 Close