Spatial persistence in nanotopographies: Statistical insights from the Moran scatterplot

doi:10.1016/j.physa.2026.131538

Spatial persistence in nanotopographies: Statistical insights from the Moran scatterplot

2026-04-08

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Mário Vanoli Scatolino

Sı́lvio M. Duarte Queirós

E

Erveton P. Pinto

DOI：10.1016/j.physa.2026.131538

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Abstract

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Characterizing nanotopographies often relies on global measures to quantify spatial autocorrelation like correlation functions, the Hurst exponent, and more recently the Global Moran Index (GMI); however, these metrics frequently overlook local heterogeneity and subtle topographic variations that occur at the nanometric scale.

Keywords:

nanotopography

spatial autocorrelation

Moran scatterplot

local heterogeneity

Hurst exponent

Spatial persistence in nanotopographies: Statistical insights from the Moran scatterplot

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