Harry Seldon's blog

Fractals, Chaos, and Control Systems on Rails


For Taleb's Black Swan's Readers, Mediocristan and Extremistan are Stable and Unstable Systems

Posted by Harry Seldon on November 02, 2009

As a control system engineer and Mandelbrot/Taleb fan, I want to bring this quick clarification (It will be worth a longer post another day):

Extremistan is the world of unstable systems (predicting a final state on an unstable system is a mathematical nonsense and predicting a transient state is computationnally impossible).
Extremistan is the fractal world of Mandelbrot.

Mediocristan is the world of stable systems (you can predict the final state and even the transient if you are good but it is already difficult to predict the transient state for a stable system).
Mediocristan is the Linear / Gaussian Paradise.

My conclusion (1) is that in order to be able to predict a system behaviour you need to be able to stabilize it, that is you need to be able to control it or equivalently speaking to regulate it.
I cannot predict what you are going to do tomorrow. But If I can order you what you are going to do tomorrow, then there is a good chance I can also predict what you are going to do !

Bonus thought
Linear systems are very rare. Most systems are non-linear. But control engineers use and abuse of linear systems. The important reason is that systems can be locally linearized. Then, locally, you can apply linear control tools. You can stabilize your system and because it is stable you remain in the initial local place and you remain stable. That is all the beauty of it. So yes, somehow, linear systems are not as rare as they seem. Otherwise, there would be no aircraft autopilots because aircraft or spacecraft dynamics are not linear systems.
About Economics / Aerospace comparisons, you can also read this post:
2 lessons Economics should learn from Aerospace

(1) (not engaging Taleb, he does not seem much against regulation, for instance he wants companies to be prevented from becoming “too big to fail” but he is probably less regulation prone than I am. I am for instance for a safety authority on financial products like there is an aviation safety authority in charge of certifying airplanes (FAA).)

Posted in , | 1 comment | atom



Use the following link to trackback from your own site:

  1. Social comments and analytics for this post From uberVU - social comments
    This post was mentioned on Twitter by harry__seldon: RT @harry__seldon For Taleb's Black Swan's Readers, Mediocristan and Extremistan are Stable and Unstable Systems http://bit.ly/6GeHL
  2. Controls vs Chaos, a simple illustration From Harry Seldon's blog
    A visualization of chaos is given by fractals. I showed you the pictures of fractal trees taken during a walk at the Parc de Sceaux after a snowfall in Paris. But I had taken a few more pictures of the very beautiful French garden of this Park. A ...


Leave a response

  1. Mio Navman on December 07, 2009 at 10:33 am

    Wow this is really amazing.Taleb looking at the cataclysmic situation facing financial institutions today, points out that “the banking system, betting against Black Swans, has lost over 1 Trillion dollar. Thanks for sharing this with us.

Leave a comment

Markdown enabled



Recent Comments

Recent Posts


actuators aircraft atc blog chaos chaos_theory charts control controllers controls crisis economy finance flight fractals git gnc gs guidance linux mandelbrot marketing navigation ns ofc on pilot rails ruby sas scs sensors statistics systems techcrunch thinkosphere tutorial typo ubuntu wifi