Jeremy Quastel (2.1) Introduction to KPZ (Kardar-Parisi-Zhang), part 2.1
Channel: IAS | Park City Mathematics Institute | PCMI
Date: 12/07/2017

Lecture notes available at https://pcmi.ias.edu/sites/pcmi.ias.edu/files/Quastel%20Lecture%20Notes.pdf

The Kardar-Parisi-Zhang equation is a canonical model for one dimensional random growth. It is also a member of a large universality class containing also directed polymer free energies, and randomly forced fluids in one dimension, characterized by nonstandard fluctuations, many of which were first discovered in random matrix theory. We will introduce the main ideas behind the meaning of the equation and obtaining exact asymptotic distributions. 

Presented at the 27th Annual PCMI Summer Session, Random Matrices, held June 25 – July 15, 2017. The residential, three-week Summer Session is the flagship activity of the IAS/Park City Mathematics Institute (PCMI).

The Institute for Advanced Study / IAS / Park City Mathematics Institute (PCMI) is designed for mathematics educators at the secondary and post-secondary level, as well as mathematics researchers and students at the post-secondary level. These groups find at PCMI an intensive mathematical experience geared to their individual needs. Moreover, the interaction among groups with different backgrounds and professional needs increases each participant’s appreciation of the mathematical community as a whole as well as the work of participants in different areas.

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