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.
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.
|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|