BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Finite-State Mutual Dimension - Adam Case (Drake University)
DTSTART:20220607T150000Z
DTEND:20220607T160000Z
UID:TALK174806@talks.cam.ac.uk
DESCRIPTION:In this talk\, I will discuss recent work with Jack H. Lutz on
  a notion of finite-state mutual dimension. Intuitively\, the finite-state
  dimension of a sequence S represents the density of finite-state informat
 ion contained within S\, while the finite-state mutual dimension between t
 wo sequences S and T represents the density of finite-state information sh
 ared by S and T. Thus &ldquo\;finite-state mutual dimension&rdquo\; can be
  viewed as a &ldquo\;finite-state&rdquo\; version of mutual dimension and 
 as a &ldquo\;mutual&rdquo\; version of finite-state dimension. The main re
 sults that will be discussed are as follows. First\, we show that finite-s
 tate mutual dimension\, defined using information-lossless finite-state co
 mpressors\, has all of the properties expected of a measure of mutual info
 rmation. Next\, we prove that finite-state mutual dimension may be charact
 erized in terms of block mutual information rates. Finally\, we provide ne
 cessary and sufficient conditions for two normal sequences to achieve fini
 te-state mutual dimension zero.
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR