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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Metadaten
Author:R. D. Mauldin, Heinrich von Weizsäcker
URN:urn:nbn:de:hbz:386-kluedo-7333
Document Type:Preprint
Language of publication:English
Year of Completion:1997
Year of first Publication:1997
Publishing Institution:Technische Universität Kaiserslautern
Date of the Publication (Server):2000/04/03
Faculties / Organisational entities:Kaiserslautern - Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011