BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Diego Rojas (Iowa State University)
DTSTART:20211025T210000Z
DTEND:20211025T213000Z
DTSTAMP:20260423T005746Z
UID:CTA/65
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CTA/65/">Eff
 ective convergence notions for measures on the real line</a>\nby Diego Roj
 as (Iowa State University) as part of Computability theory and application
 s\n\n\nAbstract\nIn classical measure theory\, there are two primary conve
 rgence notions studied for sequences of measures: weak and vague convergen
 ce. In this talk\, we discuss a framework to study the effective theory of
  weak and vague convergence of measures on the real line. For effective we
 ak convergence\, we give an effective version of a characterization theore
 m for weak convergence called the Portmanteau Theorem. We also discuss the
  relationship between effective weak convergence and the structure of the 
 space of finite Borel measures on the real line as a computable metric spa
 ce. In contrast to effective weak convergence\, we give an example of an e
 ffectively vaguely convergent sequence of measures that has an incomputabl
 e limit. Nevertheless\, we discuss the conditions for which the limit of a
 n effectively vaguely convergent sequence is computable and the conditions
  for which effective weak and vague convergence of measures coincide. This
  talk will feature joint work with Timothy McNicholl.\n
LOCATION:https://researchseminars.org/talk/CTA/65/
END:VEVENT
END:VCALENDAR