A. Vershik
Published 2013-01-24Version 1
We define a normal form (called the canonical image) of an arbitrary measurable function of several variables with respect to a natural group of transformations; describe a new complete system of invariants of such a function (the system of joint distributions); and relate these notions to the matrix distribution, another invariant of measurable functions found earlier, which is a random matrix. Bibliography: 7 titles.
Comments: 17 p; J.Math.Sci.V.190 #3 (2013)
Local bifurcations in differential equations with state-dependent delay
Classification and statistics of cut and project sets
Convergence versus integrability in normal form, III
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