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SPB School and Conference on Dynamical systems
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| عنوان فارسی |
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| چکیده فارسی مقاله |
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| عنوان انگلیسی |
How to measure the distance between orbits and what comes from that DOMINIK KWIETNIAK |
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| چکیده انگلیسی مقاله |
We study the Besicovitch pseudometric DB for compact dynamical systems. The set of generic points of ergodic measures turns out to be closed with respect to DB. It is proved that the weak specification property implies the average asymptotic shadowing property and the latter property does not imply the former one nor the almost specification property. Furthermore an example of a proximal system with the average shadowing property is constructed. It is proved that to every invariant measure µ of a compact dynamical system one can associate a certain asymptotic pseudo orbit such that any point asymptotically tracing in average that pseudo orbit is generic for µ. A simple consequence of the theory presented is that every invariant measure has a generic point in a system with the asymptotic average shadowing property. |
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| کلیدواژه‌های انگلیسی مقاله |
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| نویسندگان مقاله |
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| نشانی اینترنتی |
http://spbs.modares.ac.ir/browse.php?a_code=A-10-1-6&slc_lang=en&sid=1 |
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| زبان مقاله منتشر شده |
fa |
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