Tel Aviv University
Dear all,
This week at the Horowitz seminar on Probability, Ergodic Theory and
Dynamical Systems at Tel Aviv University we are happy to have:
Speaker: Eviatar Procaccia, Weizmann Institute
Title: Geometry of the Random interlacement
Date: Monday, May 2
Time: 14:30
Place: Schreiber 309
We consider the geometry of random interlacements on the $d$-dimensional
lattice. We use ideas from stochastic dimension theory proved in
\cite{benjamini2004geometry} to prove the following: Given that two
vertices $x,y$ belong to the interlacement set, it is possible to find a
path between $x$ and $y$ contained in the trace left by at most $\lceil
d/2 \rceil$ trajectories. Moreover, this result is sharp in the sense
that there are pairs of points in the interlacement set which cannot be
connected by a path using the traces of at most $\lceil d/2 \rceil-1$
Best regards,
Seminar webpage:
Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <> 
Announcement from: Ron Peled   <>