Tel Aviv University
Dear all,
The Horowitz seminar on Probability, Ergodic Theory and Dynamical
Systems will renew its activity next week.
First talk on October 31 - See below
The seminar topics include
research in Probability Theory, Ergodic Theory, Dynamical Systems and
their applications to various fields including Statistical Physics,
Combinatorics, Analysis, Number Theory and others. The seminar is
open to all and interested Masters and Ph.D. students are especially
encouraged to attend. We meet every Monday from 14:30 to 15:30 in
room 309 of Tel Aviv University's Schreiber building. The seminar
schedule can be found at
and is updated regularly as talks are scheduled. To join the mailing
list for the seminar please email me at  <>
Following are the title and abstract of the first talk (see the
schedule link above for later talks).
Monday, October 31
Daniel Johannsen, Tel Aviv University
Title: The Degree Sequence of Random Planar Maps
Abstract:  In this talk we study how typical specimen of various
classes of planar maps (i.e., embedded planar graphs) look like. In
particular, we are interested in the degree sequence of a random map
drawn from all maps of equal size. For ordinary random maps, it is
known that the expected number of vertices of a fixed degree is
linear in the number of edges of that map. Moreover, this number is
sharply concentrated around its expectation for which an asymptotic
formula (depending on the given degree) exists. We see how this
result can be transferred to other classes of random maps like those
that are biconnected, 3-connected, loopless, bridgeless, or simple.
This is joint work with Konstantinos Panagiotou.
I hope you will be able to attend.
Have a great semester,
Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <> 
Announcement from: Ron Peled   <>