Geodesic
Limit spectral measures of matrix distributions of metric triples
Funkcionalʹnyj analiz i ego priloženiâ, Tome 57 (2023) no. 2, pp. 106-110

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The notion of the limit spectral measure of a metric triple (i.e., a metric measure space) is defined. If the metric is square integrable, then the limit spectral measure is deterministic and coincides with the spectrum of the integral operator on $L^2(\mu)$ with kernel $\rho$. An example in which there is no deterministic spectral measure is constructed.
Keywords: metric triples, limit measures
Mots-clés : spectra, Cauchy distribution. 
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     title = {Limit spectral measures of matrix distributions of metric triples},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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     year = {2023},
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A. M. Vershik; F. V. Petrov. Limit spectral measures of matrix distributions of metric triples. Funkcionalʹnyj analiz i ego priloženiâ, Tome 57 (2023) no. 2, pp. 106-110. http://geodesic.mathdoc.fr/item/FAA_2023_57_2_a7/