STAT 593C:

Non-standard asymptotics and particle systems

Spring Quarter 2006

Handouts

• Longest increasing subsequences talk slides
• Aldous and Diaconis paper on Hammersly's interacting particle process.
• Hammersley's process with sources and sinks by Cator and Groeneboom.
• Sources and sinks handout, by Piet Groeneboom, for Stat 593C
• J. A. Wellner paper, On longest increasing subsequences and random Young tableaux: experimental results and recent theorems
• Invariant measures for a two species asymmetric process, by P.A. Ferrari, L.R.G. Fontes, and Y. Kohayakawa.
• An invariance result for the Hammersley process with sources and sinks, by P. Groeneboom.
• Cube root asymptotics for the Hammersley process, by E. Cator and P. Groeneboom.
• Beta paths in the Hammersley process, by C. Coletti and L. P. R. Pimentel.
• Cube root asymptotics for Hammersley's process, by E. Cator and P. Groeneboom
• Cube root asymptotics for Hammersley's process, part 3, by E. Cator and P. Groeneboom
• Competition interfaces and second class particles by P. Ferrari and L. P. R. Pimentel
• Scale invariance of the PNG droplet and the Airy process, by M. Prahofer and H. Spohn