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Published March 1, 2026 | Version v1.0.2
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Fisher Information Geometry at Statistical Critical Points — Paper Collection

Authors/Creators

  • 1. Independent Researcher

Description

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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Additional details

References

  • Ruppeiner, G. (1979). Thermodynamics: A Riemannian geometric model. Phys. Rev. A 20, 1608–1613.
  • Janke, W., Johnston, D. A., & Kenna, R. (2004). Information geometry and phase transitions. Physica A 336, 181–186.
  • Erdmenger, J., Grosvenor, K. T., & Jefferson, R. (2020). Information geometry in quantum field theory: lessons from simple examples. SciPost Phys. 8, 073.
  • Amari, S. (2016). Information Geometry and Its Applications. Applied Mathematical Sciences, vol. 194, Springer-Verlag.