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Extremal Properties of Random Systems by Frachebourg, L.; Ispolatov, I.; Krapivsky, P. L. is a scholarly article available to read on EtoBox.

What is Extremal Properties of Random Systems about?

We find that the probability distribution for the largest intervals $p(l)$ exhibits universal properties for different systems including random walk and random cutting models. In particular, $p(l)$ has an infinite set of singularities at $l=1/k$ with $k=2,3,\ldots$ which become weaker and weaker as $k \to \infty$; additionally, $p(l)$ has an essential singularity at $l=0$. These properties are found also in many dimensional situation.

Author

Frachebourg, L.; Ispolatov, I.; Krapivsky, P. L.

Published

1995

Language

EN