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Title
Geometric Representation of the Group of Entropy Vectors in Nonextensive Statistical Mechanics.
Authors
Zaripov, R.
Abstract
A geometric representation of the group of nonextensive entropy vectors in four-dimensional space is derived. The three-dimensional hyperbolic entropy vector and the vector-parameter of hyperbolic angles are determined. A composition law for hyperbolic entropy vectors with quadratic nonlinearity is given and an interrelationship with three distributions characterizing the system is presented.