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SUMMARY:Andy Parrish (Eastern Illinois University)
DTSTART:20220514T180000Z
DTEND:20220514T190000Z
DTSTAMP:20260423T021042Z
UID:Dynamics/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Dynamics/8/"
 >Good and Bad Functions for Translates</a>\nby Andy Parrish (Eastern Illin
 ois University) as part of Little school dynamics\n\n\nAbstract\nWe say th
 at a set of functions is good for a sequence of\noperators if the sequence
  converges for every function in the set\; the\nset is bad if there is a f
 unction in the set for which the sequence of\noperators does not converge.
  For example\, given a fixed sequence\ntending to zero\, the continuous fu
 nctions are pointwise good for\ntranslations by this sequence-- yet bounde
 d Lebesgue-measurable\nfunctions are pointwise bad. We'll discuss how the 
 set of functions\nthat are pointwise good for translation by any sequence 
 is precisely\nthe set of functions locally equal a.e. to a Riemann-integra
 ble\nfunction. Time permitting\, we will also explore some new perspective
 s\non a well-known conjecture due to Erdos. This is joint work with\nJosep
 h Rosenblatt (UIUC).\n
LOCATION:https://researchseminars.org/talk/Dynamics/8/
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