Skip to main content

Gregory F. Lawler: Self-avoiding motion

Tid: On 2015-09-16 kl 15.15

Föreläsare: Gregory F. Lawler, University of Chicago, USA

Plats: Oskar Klein lecture hall at Albanova


14:15-15:00 Precolloquium by Carl Ringkvist (Room FD41, Albanova)
15:15-16:15 Colloquium lecture by Greg Lawler (Room Oskar Klein, Albanova)
16:15-17:00 SMC social get together with refreshments


The self-avoiding walk (SAW) is a model for polymers that assigns equal probability to all paths that do not return to places they have already been. The lattice version of this problem, while elementary to define, has proved to be notoriously difficult and is still open. It is initially more challenging to construct a continuous limit of the lattice model which is a random fractal. However, in two dimensions this has been done and the continuous model (Schram-Loewner evolution) can be analyzed rigorously and  used to understand the nonrigorous predictions about SAWs.  I will survey some results in this area and then discuss some recent work on this ``continuous SAW''.


Gregory F. Lawler: Self-avoiding motion (audio only; MP3)

Gregory F. Lawler: Self-avoiding motion (video and audio; MP4)

Title Date
Dmitry Khavinson: "Between two truths of the real domain, the easiest and shortest path quite often passes through the complex domain." P. Painleve, 1900. A variation on the theme of analytic continua Dec 12, 2015
Kathryn Hess: A calculus for knot theory Nov 06, 2015
Gregory F. Lawler: Self-avoiding motion Oct 09, 2015
Claudio Procesi: Analytic and combinatorial aspects of the Non Linear Schroedinger equation (NLS) on a torus May 27, 2015
Alexander Razborov: Continuous Combinatorics Mar 18, 2015
Christiane Tretter: Operator theory and applications: a successful interplay Feb 04, 2015