Renormalization Seminar Fall 2019
This seminar aims to briefly discuss a few different manifestations of renormalization in differential equations, dynamical systems, and statistical physics. Our goal will be to arrive at a better intuitive understanding of what renormalization is, with the hope of using this as a launching point for future discussions during next semester’s Simons Center Program.
This is intended to be a discussion-based seminar. People with any level of background are welcome, and everyone is encouraged to ask questions.
References
Here are some links to relevant materials as they come up.
- Goldenfeld, Nigel. Lectures on phase transitions and the renormalization group. CRC Press, 2018.
- Collet, Pierre, and J-P. Eckmann. Iterated maps on the interval as dynamical systems. Springer Science & Business Media, 2009.
Schedule
Speaker | Date | Topic | Source Sections |
---|---|---|---|
Matthew Dannenberg | 11/01/2019 | Similarity Solutions and ‘Anomalous Dimensions’ of the Heat Equation and Barenblatt’s Equation | Goldenfeld 10.1-3 |
El Mehdi Ainasse | 11/04/2019 | Renormalization of Barenblatt’s Equation | Goldenfeld 10.4 |
Matthew Dannenberg | 11/11/2019 | Divergences in Perturbation Theory and Renormalization | Goldenfeld 10.5-6 |
Timothy Alland | 11/18/2019 | Unimodal Maps and Their Combinatorial Structure | Parts of Collet-Eckmann II.1-4 |
Paul Frigge | 11/25/2019 | The Influence of Combinatorics on Sensitivity and Period Doubling Phenomena | Parts of Collet-Eckmann II.1-2, II.6-7, III.1 |
Lim Willie | 12/2/2019 | Renormalization of Unimodal Maps and Feigenbaum Universality | Parts of Collet-Eckmann I.3, I.4, I.6, III.3 |
Ying Hong Tham | 12/09/2019 | A Brief Overview of Statistical Mechanics and the Ising Model | TBD |
TBD | 12/16/2019 | Renormalization and Phase Transitions in the 1D and 2D Ising Models | TBD |