Phil,

> 1) for change situations referred to as, [ before | gap?| 
> after ] Causal mechanisms that take time can generally be 
> found in the 'gap' but predictive models are often missing 
> because they can jump over gaps.

I'm wondering where there may be some shared vocabulary between complexity-speak
and your notion of growth curves. 

Is it possible that everything you mean by growth curves is captured by curves
of phase-transitions? When you mention "gap" above, might that be the critical
point in a phase transition where a system breaks symmetry and chooses between
different basins of attraction. The occurence of the transition is predictable
but which attractor will emerge, is not. Most models in complexity are concerned
with such phenomena.

Take an ising model as a classic example
<http://www.ibiblio.org/e-notes/Perc/ising.htm>. As a regular array of mutually
influencing agents, each decides to spin up or down depending on the states of
its neighbors. Magnetization in this model is measured as the proportion of spin
up or spin down in the populuation and is called an "order parameter" which is a
low-dimensional variable that can describe the collective state of the system.
Experimenters tend to not have direct control over order parameters. The
parameters they can manipulate are called "control" parameters and in the ising
model example, are things like initial configuration and temperature (degree
that a spin ignores its neighbors influence and just randomly flips). Does this
vocabulary map to yours?

If you observe the graph of the magnetization order parameter in the ising model
is it a "growth curve"?

-Steve



> -----Original Message-----
> From: Phil Henshaw [mailto:[EMAIL PROTECTED] 
> Sent: Sunday, April 08, 2007 5:18 AM
> To: 'The Friday Morning Applied Complexity Coffee Group'
> Subject: Re: [FRIAM] predictive models v. causal mechanisms
> 
> well, so can anyone add to the list of things that make them 
> different?    
>  
> 1) for change situations referred to as, [ before | gap?| 
> after ] Causal mechanisms that take time can generally be 
> found in the 'gap' but predictive models are often missing 
> because they can jump over gaps.
>  
>  
> 
> Phil 
> 
> Re: 
> Sent: Friday, April 06, 2007 7:35 AM
> To: 'FRIAM'
> Subject: [FRIAM] predictive models v. causal mechanisms
> 
> 
> 
>       Big subject, but, first, are there useful ways tell the 
> difference?     I think the main difference is between images 
> and things, a big clear difference, and very useful to be 
> able to distinguish.
>        
>       
>       Phil Henshaw                       ¸¸¸¸.·´ ¯ `·.¸¸¸¸
>       ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
>       680 Ft. Washington Ave 
>       NY NY 10040                       
>       tel: 212-795-4844                 
>       e-mail: [EMAIL PROTECTED]          
>       explorations: www.synapse9.com <http://www.synapse9.com/>     
>        
> 
> 


============================================================
FRIAM Applied Complexity Group listserv
Meets Fridays 9a-11:30 at cafe at St. John's College
lectures, archives, unsubscribe, maps at http://www.friam.org

Reply via email to