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SUMMARY:Alessandro Della Corte (Università di Camerino (Italy))
DTSTART:20210311T160000Z
DTEND:20210311T170000Z
DTSTAMP:20260423T022829Z
UID:DinAmicI/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DinAmicI/21/
 ">The simplest erasing substitution</a>\nby Alessandro Della Corte (Univer
 sità di Camerino (Italy)) as part of DinAmicI: Another Internet Seminar\n
 \n\nAbstract\nThe symbolic action of a substitution on the binary expansio
 n generates naturally an interval map. In case of erasing substitutions\, 
 the map is typically Baire-1 and not Darboux. As a model case\, we conside
 r what is arguably the simplest erasing substitution\, mapping 0s to the e
 mpty word and 1s to 0 or 1 depending on the parity. The corresponding inte
 rval map is shown to have fractal properties (bounds are given on the Haus
 dorff dimension of the fibers) and to display rich dynamical behavior\, in
 cluding Devaney chaos\, uniform distributional chaos of type 1\, infinite 
 topological entropy as well as the presence of cycles attracting in a fini
 te time every rational.\n
LOCATION:https://researchseminars.org/talk/DinAmicI/21/
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