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
 
Abstract:
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 $\lceil d/2 \rceil-1$
trajectories.
 
Best regards,
   Ron
 
Seminar webpage:
 
 <http://www.math.tau.ac.il/~peledron/Horowitz_seminar/Horowitz_seminar.html>
 
---------------------------------------------------------
Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from: Ron Peled   <peledron@gmail.com>