*Tid:* **27 februari 2008 kl 15.15-16.15 **
*Plats :* **Sal 14, hus 5, Kräftriket**, Institutionen för matematik, Stockholms Universitet.
Efter föredraget serveras förfriskningar.
*Föredragshållare:*
**
Jeffrey Steif, Chalmers
**
**Titel:**
Recent Developments in Probability Theory
**Sammanfattning:**
In 2006, Wendelin Werner was awarded the fields medal in mathematics.
A large part of the work for which he was awarded the medal was work
Werner did jointly with Greg Lawler and Oded Schramm. I will give an
overview of a part of this work. Of course, I will give background and
attempt to put things in perspective in terms of how this work is
related to more familiar notions in probability theory. More
specifically, I will explain (1) percolation, (2) the concept of a
scaling limit (analogous to how random walk converges to Brownian
motion) for discrete statistical mechanical systems, (3) so-called
critical exponents, (4) so-called intersection exponents for 2
dimensional Brownian motion and what were the contributions of Lawler,
Schramm and Werner to these topics. A common thread/tool for all of this
is the so-called stochastic Lowner evolution invented by Oded Schramm
which I will only very briefly touch on.
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