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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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A Linear Exponent Law for Alpha-Power Fisher Curvature at the 2D Ising Critical Point

descriptionPublicationkeyboard_double_arrow_right Preprint 28 Feb 2026 English Publisher:Zenodo
Authors: Zhuravlev, Max;

doi: 10.5281/zenodo.18815955 , 10.5281/zenodo.18827254

A Linear Exponent Law for Alpha-Power Fisher Curvature at the 2D Ising Critical Point

Abstract

Exact enumeration (L=3,4,5) reveals that scalar curvature of alpha-power Fisher metrics scales as R ~ n^{d_R(alpha)} with d_R converging to the linear law d_R(alpha) = alpha * d_R(1).

Keywords

information geometry, Fisher information, lattice models, Ising model, statistical mechanics, critical phenomena

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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