[CART360] nexus by marc buchanan

Morgan Sutherland morgan at morgansutherland.net
Fri Nov 27 14:32:17 EST 2009


Another book that touches on small-world networks (written by the author of
the original paper paper), though focuses on mathematical models of
synchronizing oscillators (i.e. fireflies, your heart, circadian rhythm) is
Sync: The Emerging Science of Spontaneous Order by Steven Strogatz:

http://www.amazon.com/SYNC-Emerging-Science-Spontaneous-Order/dp/0786868449
<http://www.amazon.com/SYNC-Emerging-Science-Spontaneous-Order/dp/0786868449>

The original paper can be found here: Collective dynamics of 'small-world'
networks<http://tam.cornell.edu/tam/cms/manage/upload/SS_nature_smallworld.pdf>

The study of biological timing mechanisms (as opposed to our mechanical
timing, which is far more basic) is very interesting to me. I'm hoping that
in the next forty years we can start working with timing abstractions in
computers based on the biological models.

M
<http://www.amazon.com/SYNC-Emerging-Science-Spontaneous-Order/dp/0786868449>
On Thu, Nov 26, 2009 at 11:52 PM, Vincent Leclerc <v at eskistudio.com> wrote:

> Coincidence is the current focus of modish mathematical investigation.
> Kicked off, according to Buchanan, by a 1998 paper published in *Nature*,
> research on the nature of coincidence posits that deep-seated principles
> order huge, seemingly inchoate assemblies of objects. According to these
> conjectured principles, any member of a gigantic assembly of similar members
> (say of six billion human beings) can connect with any other member in
> astonishingly few steps. The idea seems ubiquitous, cropping up in food
> chains, the cell, neural networks, disease propagation, or electrical power
> grids--all arenas explored by Buchanan. This connection of objects in a set,
> dubbed "small worlds," comes in two "flavors": egalitarian networks and
> aristocratic networks, an example of the latter being the Internet. These
> are very interesting concepts, but before diving in, readers will want to
> know what they might get from Buchanan's presentation of various
> mathematicians' papers. Intimating that a small-worlds perspective might
> reveal the workings of economics as well as biology and ecology, Buchanan
> points up the relevance of his investigation. *Gilbert Taylor*
>
>
> http://www.amazon.ca/Nexus-Worlds-Groundbreaking-Theory-Networks/dp/0393324427
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