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 <http://www.math.tau.ac.il/~peledron/Horowitz_seminar/Horowitz_seminar.html> and is updated regularly as talks are scheduled. To join the mailing list for the seminar please email me at <peledron@post.tau.ac.il.> 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, Ron --------------------------------------------------------- Technion Math Net-2 (TECHMATH2) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Ron Peled <peledron@gmail.com>