Research collection investigates geometry of Fisher information manifolds near critical points, highlighting theoretical and experimental findings.
Research papers investigating the geometry of Fisher information manifolds on lattice models near criticality. Includes 9 research papers and 1 prediction letter presenting a new information-geometric exponent d_R = (d*nu + 2*eta)/(d*nu + eta) at statistical critical points. Collection covers theoretical foundations, explicit calculations on Ising and Potts models, curvature scaling analysis, alpha-power deformed metrics, and experimental validation via exact transfer matrix and MCMC methods.
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Max Zhuravlev (2026) studied this question.
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