- Experiment. Math.
- Volume 2, Issue 4 (1993), 271-279.
The information metric on rational maps
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.
Experiment. Math., Volume 2, Issue 4 (1993), 271-279.
First available in Project Euclid: 24 March 2003
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 58E20: Harmonic maps [See also 53C43], etc.
Secondary: 58D27: Moduli problems for differential geometric structures
Murray, Michael K. The information metric on rational maps. Experiment. Math. 2 (1993), no. 4, 271--279. https://projecteuclid.org/euclid.em/1048516037