Mark Kac Seminar 2009-2010

November 13, 2009

11:15-13:00	speaker: Vincent Beffara (Lyon)	title: Pinning of directed polymers and the slow-bond problem
	abstract: The so-called slow-bond model is a modified version of the usual totally asymmetric simple exclusion process (TASEP), where translation invariance is broken by letting one of the rates smaller than the others. Determining whether this has a macroscopic effect or not is known as the slow-bond problem; the goal of the talks is to describe how the question relates to one of pinning of a directed polymer in a random medium and to a version of polynuclear growth, for which the corresponding question can be answered. Joint work with V. Sidoravicius (CWI Amsterdam).
14:15-16:00	speaker: Frank Redig (Leiden)	title: The inclusion process: duality and correlation inequalities
	abstract: We discuss a interacting diffusion model of heat conduction, and show that this model is dual to a particle system where particles diffuse on the lattice and attract each other, the so-called symmetric inclusion process (SIP). The SIP is a natural bosonic analogue of the SEP (symmetric exclusion process), which is fermionic. We discuss how the Kipnis-Marchioro-Presutti (KMP) model fits in this context. Next we discuss basic properties of the SIP, namely self-duality and reversed Liggett inequality. Finally we discuss the asymmetric inclusion process and some interesting phenomena there such as condensation.

Mark Kac Seminar 2009-2010

last updated: 22 sep 2009 by Markus