Slides from Lectures:
The slides below are clickable pdf's, with links to relevant articles and web pages, section links in the sidebar, and navigation icons at the bottom of each slide. The reference section for each set of slides includes links to papers, and superscript citation numbers link to the reference section as well (please let me know if any links behave badly).
If you want a printed copy, the handouts provide condensed and collapsed versions of the slides.
The `lecture' pdf's include all the incremental reveals whereas the `slides' pdf's have flattened frames and are better for reading online.
- Broad overview of complex systems:
[slides] [handout] [lecture]
- Overview of complex networks:
[slides] [handout] [lecture]
- Scalingorama I. Allometry:
[slides] [handout] [lecture]
- Scalingorama II. Power-law size distributions:
[slides] [handout] [lecture]
- Mechanisms leading to power-law size distributions
I:
[slides] [handout] [lecture]
- A touch of Zipf:
[slides] [handout] [lecture]
- Mechanisms leading to power-law size distributions
II:
[slides] [handout] [lecture]
- A brief discussion of Benford's law:
[slides] [handout] [lecture]
- Lognormals and other impediments to universality:
[slides] [handout] [lecture]
- Overview of contagion and biological contagion:
[slides] [handout] [lecture]
- Social contagion:
[slides] [handout] [lecture]
- Generalized contagion:
[slides] [handout] [lecture]
- Some suggestions for projects:
[slides] [handout] [lecture]
- Guest Lecture, October 23:
Stuart Kauffman, University of Calgary
Are Cells Dynamically Critical?
Abstract:
Cells are underpinned by some 30,000 genes which regulate one another's activities in a vast genetic regulatory network. Mathematical models of such networks demonstrates that they behave in three possible regimes, ordered and chaotic, separated by a critical phase transition. Critical genetic networks seem optimal for a number of reasons: They optimize information storage, they optimize correlations among their variables, they optimize power efficiency and minimize entropy production, they optimize binding the most diverse past discriminations to the most reliable future actions. Recent evidence is beginning to suggest that, in fact, cells are actually dynamically critical. In the marriage of information processing and a theory of self-organized evolving open thermodynamic living systems, criticality may emerge as a law.
- Combined references:
[handout] [lecture]
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