When/Where: Tuesday, April 22, 4:15PM, Room 201 LOM
Speaker: Jacques Levy, INRIA

Title of Talk: Multifractal Analysis of TCP traffic: a theoretical
study.

Abstract:
The multifractal nature of TCP Internet traffic was discovered experimentally in [1,2]. Although a number of authors have subsequently tried to explain this behaviour using various kinds of models (mostly based on multiplicative cascades), a real understanding of the mechanisms leading to multifractality has proved elusive so far. I shall show that a simplified model of the very mechanism of TCP is itself sufficient to explain the multifractality of traffic traces. In particular, I will compute both the Hausdorff and large deviation multifractal spectra of this simplified model. This is a joint work with Julien Barral at Inria.

[1] Fractional Brownian motion and data traffic modeling: The other end of the spectrum Jacques Lévy Véhel and Rudolf H. Riedi In Fractals in Engineering, 1997

[2] TCP traffic is multifractal: a numerical study Rudolf H. Riedi and Jacques Lévy Véhel INRIA research report, RR-3129, 1997.