Experimental Mathematics

The information metric on rational maps

Michael K. Murray

Abstract

The information metric is a construction in statistics which can be used to define a (possibly degenerate) metric on various moduli spaces such as those of instantons and harmonic maps. This metric is shown to be nondegenerate for the space of harmonic maps of the two-sphere onto itself of any degree.

Article information

Source
Experiment. Math., Volume 2, Issue 4 (1993), 271-279.

Dates
First available in Project Euclid: 24 March 2003

Permanent link to this document
https://projecteuclid.org/euclid.em/1048516037

Mathematical Reviews number (MathSciNet)
MR1281475

Zentralblatt MATH identifier
0808.58020

Subjects
Primary: 58E20: Harmonic maps [See also 53C43], etc.
Secondary: 58D27: Moduli problems for differential geometric structures

Citation

Murray, Michael K. The information metric on rational maps. Experiment. Math. 2 (1993), no. 4, 271--279. https://projecteuclid.org/euclid.em/1048516037


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