I don’t know much about Lévy flights, and I don’t know much about Artie Shaw.  While I don’t have any Artie Shaw recordings (yet) he is a little bit of a hero of mine.

The standard biographical narrative of Shaw was that his performing career — which experienced some of the highest peaks in 20th century commercial musical achievement — was punctuated by periods of creative and physical exhaustion, including revulsion toward his popular success.  So, not many similarities to the Knackered Hack’s experience, except the downside elements, I admit.

In one of his later periods of retreat, it seems that Shaw was preoccupied with studying high-level mathematics.  I wonder if his creativity could perhaps be defined by the concept of Lévy flights?  Now, if you think I’m talking Jackson Pollocks here, you might indeed be right. For the distribution of paint by the very same may have been following some form of fractal pattern:-

There are two revolutionary aspects to Pollock’s application of paint and both have potential to introduce chaos. The first is his motion around the canvas. In contrast to traditional brush-canvas contact techniques, where the artist’s motions are limited to hand and arm movements, Pollock used his whole body to introduce a wide range of length scales into his painting motion. In doing so, Pollock’s dashes around the canvas possibly followed Levy flights: a special distribution of movements, first investigated by Paul Levy in 1936, which has recently been used to describe the statistics of chaotic systems.

I understand there is a risk of seeing heavy-tailed distributions everywhere, particularly to my untrained eye.  But with the creative arts — the clustering of success — it does seem to follow.

I wonder too if it explains, at a very banal level, the frequency of my blog posting, about which I know a few of you are concerned.  To illustrate the two extremes of recent Knackered Hack experience, some Artie Shaw to entertain you.  In the meantime, I will be trying to produce a cluster of posts.  Shaw fans can correct me, but the first piece below reflected the essence of the man, while the second was what people liked him for.  The titles will amuse Mandelbrotian students of markets.  And Shaw’s exuberant swing music flourished in the depression.

At the end of this one, Artie Shaw and sidekicks explore bounded rationality and sum up the perennial challenge for all businesses.

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