On some information geometric structures concerning Mercator projections

Tatsuaki Wada

Physica A: Statistical Mechanics and its Applications, 2019, vol. 531, issue C

Abstract: Some information geometric structures concerning the Mercator projections are studied. It is known that a loxodrome on the surface of the globe is related to the straight line on a Mercator map by the Mercator projection. It is not well known that an affine connection with torsion plays a fundamental role to describe an auto-parallel path on the surface. Based on these information geometric structures, Gauss distribution is reconsidered from the view point of the affine connection with a torsion. Some relations with deformed functions are also pointed out.

Keywords: Information geometry; Affine connections; Torsions; Deformed exponentials (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:531:y:2019:i:c:s0378437119309379

DOI: 10.1016/j.physa.2019.121591

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