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BEGIN:VEVENT
DTSTAMP:20190519T110804Z
LAST-MODIFIED:20151102T214122Z
DTSTART:20151118T210000Z
DTEND:20151118T220000Z
UID:event1494@bu.edu
URL:http://physics.bu.edu/events/show/1494
SUMMARY:Noise is your friend\, or: How well can we resolve state space?
DESCRIPTION:Featuring Prof. Predrag Cvitanovic\, Georgia Institute of Techn
ology\n\nPart of the Biophysics/Condensed Matter Seminar Series.\n\nAbstrac
t:\n\nAll physical systems are affected by some noise that limits the resol
ution that can be attained in partitioning their state space. What is the b
est resolution possible for a given physical system?\n\nIt turns out that f
or nonlinear dynamical systems the noise itself is highly nonlinear\, with
the effective noise different for different regions of system's state space
. The best obtainable resolution thus depends on the observed state\, the i
nterplay of local stretching/contraction with the smearing due to noise\, a
s well as the memory of its previous states. We show how that is computed\,
orbit by orbit. But noise also associates to each a finite state space vol
ume\, thus helping us by both smoothing out what is deterministically a fra
ctal strange attractor\, and restricting the computation to a set of unstab
le periodic orbits of finite period.\nBy computing the local eigenfunctions
of the Fokker-Planck evolution operator\, forward operator along stable li
nearized directions and the adjoint operator along the unstable directions\
, we determine the `finest attainable' partition for a given hyperbolic dyn
amical system and a given weak additive noise. The space of all chaotic spa
tiotemporal states is infinite\, but noise kindly coarse-grains it into a f
inite set of resolvable states.
LOCATION:SCI 352\, 590 Commonwealth Avenue\, 02215
STATUS:CONFIRMED
CLASS:PUBLIC
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