Stochastic processes and fractals

Thời gian: 09:00 đến 11:00 Ngày 22/03/2018

Địa điểm: C2-714, VIASM

Báo cáo viên: Anna Soos - Babes-Bolyai University, Romania

Tóm tắt:

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.