Prague-2011 lecture notes

Scaling limits of self-interacting walks and diffusions with long memory

Lectures at the Prague Summer School on Mathematical Physics -- 2011

Prague, August 29-September 4, 2011

See my Chorin lecture notes

Here are some notes about Alder-Wainwright scaling argument

Here are some notes about Gaussian Hilbert spaces (or Fock spaces), Wick polynomials, etc

And some recent papers related to the topics of the course:
Pierre Tarres, Bálint Tóth, Benedek Valkó: Diffusivity bounds for 1d Brownian polymers
The Annals of Probability (2011+)
click here to see arXived version of the paper,

Illés Horváth, Bálint Tóth, Bálint Vető: Diffusive limits for "true" (or myopic) self-avoiding random walks and self-repellent Brownian polymers in three and more dimensions
Probability Theory and Related Fields (2011+)
click here to see arXived version of the paper
(earlier versions here and here )

Bálint Tóth, Benedek Valkó: Superdiffusive bounds on self-repellent Brownian polymers and diffusion in the curl of the Gaussian free field in d=2
click here to see arXived version of the paper