Multi-distribution Rényi divergences are positive integrals of coincidence divergences C_α over four strata (simplex interior, mixed-sign cones, tropical boundary, KL edges).
Why the shannon and hartley entropies are ‘natural’
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The zentropy approach receives a statistical-physics foundation via recursive entropy maximization, yielding partition functions for coarse-grained configurations and clarifying temperature-dependent states in thermodynamic systems.
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Multi-distribution Rényi divergences are positive integrals of coincidence divergences C_α over four strata (simplex interior, mixed-sign cones, tropical boundary, KL edges).
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Recursive entropy in thermodynamics: expounding the statistical-physics basis of the zentropy approach
The zentropy approach receives a statistical-physics foundation via recursive entropy maximization, yielding partition functions for coarse-grained configurations and clarifying temperature-dependent states in thermodynamic systems.