2 papers
math.DS2023
Classification of measurable functions of several variables and matrix distributions
A. Vershik
We consider the notion of the matrix (tensor) distribution of a measurable function of several variables. On the one hand, it is an invariant of this function with respect to a cer…
math.RT2023
Limit spectral measures of matrix distributions of metric triples
A. Vershik, F. Petrov
A 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 determin…