Random Interactions
Fractal dimentions of watersheds
by Prof. Peter Grassberger (Juelich Research Centre, Germany)
Wednesday, November 7, 2012
from
to
(Asia/Kolkata)
at Colaba Campus ( A304 )
at Colaba Campus ( A304 )
Description |
The statistical properties of watersheds (e.g. in the Himalayans) have been studied by geograpers since several decades, and it was realized quite early that they are fractal with dimensions roughly between 1.1 and 1.2. In the talk I will discuss the case of random landscapes bounded between two drainage sinks. I will present three different microscopic definitions of the watershed, that all have the same dimension but have vastly different corrections to scaling, and need different algorithms for efficient simulations. The numerically obtained fractal dimensions (both in 2 dimensions and in a generalization to 3-d) seem to fall into no known universality class. |