Derives nonlinear Fokker-Planck equations via a new Linearization Principle in q-deformed geometry, establishing duality between dynamic index q and thermodynamic index 2-q for Tsallis statistics.
Tsallis,Introduction to Nonextensive Statistical Me- chanics(Springer, 2009)
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Linearization Principle: The Geometric Origin of Nonlinear Fokker-Planck Equations
Derives nonlinear Fokker-Planck equations via a new Linearization Principle in q-deformed geometry, establishing duality between dynamic index q and thermodynamic index 2-q for Tsallis statistics.