Jeremy Quastel (1.2) Introduction to KPZ (Kardar-Parisi-Zhang), part 1.2
Channel: IAS | Park City Mathematics Institute | PCMI
Date: 2017-07-10

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).

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