Stochastic processes and fractals

Time: 09:00 to  11:00 Ngày 22/03/2018

Venue/Location: C2-714, VIASM

Speaker: Anna Soos - Babes-Bolyai University, Romania

Content:

The most known fractals are invariant sets with respect to a system of contraction maps, especially the so called selfsimilar sets.

Hutchinson and Rüschendorf gave a simple proof for the existence and uniqueness of invariant random fractal sets and fractal functions using probability metrics defined by expectation.  In these works a finite first moment condition is essential. However, using contraction method in probabilistic metric spaces. we can give weaker conditions for the existence and uniqueness of invariant random fractal sets and functions.