44,594 research outputs found
Restricting SLE(8/3) to an annulus
We study the probability that chordal in the unit disk
from to 1 avoids the disk of radius centered at zero. We find
the initial/boundary-value problem satisfied by this probability as a function
of and , and show that asymptotically as tends to one this
probability decays like with for . We
also give a representation of this probability as a functional of a Legendre
process.Comment: 28 pages, corrected proof of asymptotic dependenc
Letter from Ireland
Letter from Ireland is the first in a series of correspondence which our Editors hope to present regularly from foreign lands. A group of corresponding editors has been contacted to supply news and information thought to be of interest to our readers. We are happy to begin the new year with this Irish contribution
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