Year: 1995
Type: article
Abstract: 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,..., which become weaker and weaker as k\ensuremath{\rightarrow}\ensuremath{\infty}; additionally, p(l) has an essential singularity at l=0. These properties are also found in many dimensional situations.
Authors: L. Frachebourg, I. Ispolatov, P. L. Krapivsky
Institution: Boston University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2040192676