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Internet topology modeling

August 16, 2005 in mathematics, security with 0 Comments

In this lecture, Walter Willinger goes into the difficulties of Internet topology modeling (on the IP level).

Accurate models of how the Internet works give insight into where its weakest links are located and how to simulate the network’s behavior under certain circumstances.

Part of the lecture’s data was acquired using traceroute and thorny technical details like detecting aliased IPs and load balancers were skipped.

Some highlights of the talk are:

  1. Usage of economic models and current technological constraints to model the network (the resulting topology should be efficient).
  2. Pitfalls of paying too much attention to power laws.
  3. Differences between the real Internet and scale-free networks.

I believe some of the points the author makes could be applied as well to overlay (P2P) networks.

Further links:

Mathematicians improve epilepsy treatment’s success

May 25, 2004 in mathematics with 0 Comments

Mathematicians from the Johannes Kepler Univerity at Linz, Austria and the Max Planck Institute in Leipzig, Germany have found a way to compute the location of braincells responsible for epilepsy in five hours. Before this, it would take weeks or even months to perform this task increasing the chance of failure in a surgical operation.

Here are some references to this research:

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