## In an autonomous Markovian dynamical system a discrete measure could be transformed into an absolutely countinuous distribution in finite time even if the system has locally unique solutions except for countably many initial states

• In this note, answering a question of N. Maslova, we give a two-dimensional elementary example of the phenomenon indicated in the title. Perhaps this simple example may serve as an object of comparison for more refined models like in the theory of kinetic differential equations where similar questions still seem to be unsettled.

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