Geodesic
On the multivariate transfinite diameter
Annales Polonici Mathematici, Tome 72 (1999) no. 3, pp. 285-305

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DOI

We prove several new results on the multivariate transfinite diameter and its connection with pluripotential theory: a formula for the transfinite diameter of a general product set, a comparison theorem and a new expression involving Robin's functions. We also study the transfinite diameter of the pre-image under certain proper polynomial mappings.
DOI : 10.4064/ap-72-3-285-305
Keywords: Robin's functions, extremal plurisubharmonic functions, minimal polynomials, multivariate transfinite diameter, Chebyshev polynomials 
Thomas Bloom; Jean-Paul Calvi. On the multivariate transfinite diameter. Annales Polonici Mathematici, Tome 72 (1999) no. 3, pp. 285-305. doi: 10.4064/ap-72-3-285-305
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