Weakly asymmetric exclusion and KPZ
نویسندگان
چکیده
We review recent results on the anomalous fluctuation theory of stochastic Burgers, KPZ and the continuum directed polymer in one space dimension, obtained through the weakly asymmetric limit of the simple exclusion process. Mathematics Subject Classification (2000). Primary 82C22; Secondary 60H15.
منابع مشابه
Introduction to Kpz
1. A physical introduction 2 1.1. KPZ/Stochastic Burgers/Scaling exponent 2 1.2. Physical derivation 3 1.3. Scaling 3 1.4. Formal invariance of Brownian motion 4 1.5. Dynamic scaling exponent 6 1.6. Renormalization of the nonlinear term 6 1.7. Cutoff KPZ models 7 1.8. Hopf-Cole solutions 8 1.9. Directed polymers in a random environment 11 1.10. Fluctuation breakthroughs of 1999 12 1.11. The Air...
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تاریخ انتشار 2012