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SUMMARY:James Kelly (Christopher Newport University)
DTSTART:20221210T190000Z
DTEND:20221210T200000Z
DTSTAMP:20260423T035415Z
UID:Dynamics/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Dynamics/13/
 ">Chaos and entropy in linear dynamical system</a>\nby James Kelly (Christ
 opher Newport University) as part of Little school dynamics\n\n\nAbstract\
 nWe discuss various notions of chaos in the context of linear\ndynamics. M
 any types of chaos (for linear operators) can only occur\nwithin infinite 
 dimensional vector spaces. Two specific categories of\nthese spaces on whi
 ch we focus are weighted sequence spaces and\nfunction spaces\, and the na
 tural operators on these spaces are\nbackward shifts and translations (res
 pectively). We discuss\nrelationships between the types of chaos for these
  operators and\ncharacterizations for them in terms of the weight sequence
 /function.\nMore generally\, we examine how chaos and entropy relate to th
 e\neigenvalues of the operator. Throughout\, we highlight recent and\ncurr
 ent projects completed with undergraduate students.\n
LOCATION:https://researchseminars.org/talk/Dynamics/13/
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