A footnote to information degrades over distance that you might be interested in:
Usually long-range correlations are small (‘information degrades over distance’), both over distance and scale. But not always. In very special situations long-range correlations can be large both over distance and over scale. I.e. the proverbial butterfly wingclap that causes a hurricane at the other side of the world.
in solid-state physics, condensed matter and a number of other fields people are interested in phase transitions. During phase transitions long-range correlations can become very large.
There is some fancy math going under monickers like ‘conformal field theory, virasoro algebra’ iirc. I know nothing about this but @Daniel Murfet might be able to say more.
A footnote to information degrades over distance that you might be interested in:
Usually long-range correlations are small (‘information degrades over distance’), both over distance and scale. But not always. In very special situations long-range correlations can be large both over distance and over scale. I.e. the proverbial butterfly wingclap that causes a hurricane at the other side of the world.
in solid-state physics, condensed matter and a number of other fields people are interested in phase transitions. During phase transitions long-range correlations can become very large.
There is some fancy math going under monickers like ‘conformal field theory, virasoro algebra’ iirc. I know nothing about this but @Daniel Murfet might be able to say more.
see also: https://en.wikipedia.org/wiki/Self-organized_criticality, sandpiles