The  Weizmann  Institute  of  Science
                  Faculty of Mathematics and Computer Science
 
                 Mathematical Analysis and Applications Seminar
 
                     Lecture Hall, Room 1, Ziskind Building
                           on Tuesday, July 19, 2011
                                  11:00 - noon
 
                                Michael Grinfeld
                           University of Strathclyde
 
                                 will speak on
 
                            Bak-Sneppen type models
                        and rank-driven Markov processes
 
Abstract:
In 1993 P. Bak and K. Sneppen introduced a very simple toy model of evolution
which has proved influential in many areas. It is easy to simulate and hard to
analyse. We show that many properties of this and similar models can be
obtained by considering Markov processes on countable spaces, which we call
rank-driven processes (RDPs) and for which we provide a rather complete
theory.  But the question why the Bak-Sneppen model is so well described by a
much simpler RDP remains.
 
This is joint work with Phil Knight and Andrew Wade.
 
            Mathematical Analysis and Applications Seminar Web Page:
               <http://www.wisdom.weizmann.ac.il/~vered/analsem.html>
 
---------------------------------------------------------
Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from: Diana Mandelik   <diana.mandelik@weizmann.ac.il>