A new ratio R3 from eigen-microstate spectral weights tracks third-order pseudo-transitions across Ising and Potts models on lattices and networks.
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Under hub-preferential node removal, networks can match a scale-free degree distribution by KL divergence yet fail finite-size scaling collapse, showing the two tests capture complementary aspects of structural degradation.
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Spectral Signatures of Third-Order Pseudo-Transitions in Finite Systems: An Eigen-Microstate Approach
A new ratio R3 from eigen-microstate spectral weights tracks third-order pseudo-transitions across Ising and Potts models on lattices and networks.
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Scale-freeness under node removal: a finite-size scaling perspective
Under hub-preferential node removal, networks can match a scale-free degree distribution by KL divergence yet fail finite-size scaling collapse, showing the two tests capture complementary aspects of structural degradation.