CSSS 2009 Santa Fe-Tutorials: Difference between revisions
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Maximum entropy comes out of information theory (which I'm not expert in, so if there's someone knowledgeable to help me there, that would be great). It states simply that the most likely state of a system is the one which maximises its (information-theoretic) entropy. The entropy of statistical mechanics comes naturally from it: indeed, stat mech can be viewed as a subset of information theory from this perspective. But you can apply it to any sort of system, not just physics. For instance, you can easily obtain scaling laws in ecological systems. It's the closest thing to a 'theory of complex systems' that I've seen! | Maximum entropy comes out of information theory (which I'm not expert in, so if there's someone knowledgeable to help me there, that would be great). It states simply that the most likely state of a system is the one which maximises its (information-theoretic) entropy. The entropy of statistical mechanics comes naturally from it: indeed, stat mech can be viewed as a subset of information theory from this perspective. But you can apply it to any sort of system, not just physics. For instance, you can easily obtain scaling laws in ecological systems. It's the closest thing to a 'theory of complex systems' that I've seen! | ||
Tentative time: 7PM, Monday June 15. | Tentative time: 7PM, Monday June 15. Add your name if interested. | ||
== MATLAB / Mathematica == | == MATLAB / Mathematica == | ||
Revision as of 01:06, 11 June 2009
| CSSS Santa Fe 2009 |
Feel free to organize your own tutorials.
Post tutorial schedules here.
Maximum Entropy
Well, nobody responded to my request so perhaps I'll do it myself :) I learnt a little at another summer school, so maybe I'm the best qualified, I was just hoping I wasn't. :)
Maximum entropy comes out of information theory (which I'm not expert in, so if there's someone knowledgeable to help me there, that would be great). It states simply that the most likely state of a system is the one which maximises its (information-theoretic) entropy. The entropy of statistical mechanics comes naturally from it: indeed, stat mech can be viewed as a subset of information theory from this perspective. But you can apply it to any sort of system, not just physics. For instance, you can easily obtain scaling laws in ecological systems. It's the closest thing to a 'theory of complex systems' that I've seen!
Tentative time: 7PM, Monday June 15. Add your name if interested.
MATLAB / Mathematica
Hiro: I will happily give a tutorial on the basics of these languages (but only the basics, I don't use any of the fancy bits). Anyone here know if the labs here run MATLAB/Mathematica?
If there is anyone else interested (leave your name) I'll arrange a time, otherwise I'll talk directly with you Hiro.
Tutorial requests!
Either a formal 'lecture' or a casual 'chat' is fine!
- Time series analysis (requested by Steve Lade)
- Maximum entropy / Maximum entropy production (requested by Steve Lade)
- Mathematical modelling in ecology (requested by Steve Lade)
- Some physics stuff: statistical mechanics; mean field theory; self-organized criticality and phase transitions; Ising model and the like (requested by Mareen Hofmann and Roozbeh Daneshvar)
- Lucas Lacasa I can talk you about phase transitions, Ising model, SOC and general stat phys...
- Steven Lade I'd like to hear about this too; can you schedule a tutorial?
- Evolutionary game theory (requested by Mareen Hofmann and Roozbeh Daneshvar)
- Ergodic theory (requested by Roozbeh Daneshvar)
- Information theory (requested by Roozbeh Daneshvar and Lucas Lacasa)
- Spectral graph theory (requested by Lucas Lacasa)
- Spin glass theory: Replica method (requested by Lucas Lacasa)
- If somebody can give a tutorial on Matlab and/or Mathematica, that would be nice. I'm also interested in the difference between the two programs (e.g., what each program is good at). Thanks in advance! Hiro/lakiaypayaska