7 citations · 29 across the 17 of their papers we have counts for
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math.DS2014
On scaling entropy sequence of dynamical system
P. B. Zatitskiy
We present a series of statements about scaling entropy, a metric invariant of dynamical systems proposed by A. M. Vershik in the late 90's. We show that it is a metric invariant i…
math.DS2012★ 7 cited
Geometry and Dynamics of Admissible Metrics in Measure Spaces
A. Vershik, F. Petrov, P. Zatitskiy
We study a wide class of metrics in a Lebesgue space with a standard measure, the class of so-called admissible metrics. We consider the cone of admissible metrics, introduce a spe…