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Brian Simanek
Asymptotically optimal configurations for Chebyshev constants with an integrable kernel view print
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| Published: |
July 21, 2016 |
| Keywords: |
Chebyshev constant, equilibrium measure |
| Subject: |
31C20 |
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Abstract
We show that if a lower-semicontinuous kernel K satisfies some mild additional hypotheses, then configurations that are asympotitically optimal for the extremal problems defining the Chebyshev constants are precisely those whose counting measures converge to the equilibrium measure for the corresponding minimum energy problem.
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| Acknowledgements
The author gratefully acknowledges support from Doug Hardin and Ed Saff's National Science Foundation grant DMS-1109266.
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| Author information
Baylor Math Department, One Bear Place #97328, Waco, TX 76798
Brian_Simanek@Baylor.edu
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