: 09h30, ngày 22/03/2018 (Thứ Năm)
: C2 - 714, Ta Quang Buu Library
: Seminar Toán rời rạc
: Anna Soós
: Babes-Bolyai University, Romania
Tóm tắt báo cáo
The most known fractals are invariant sets with respect to a system of contraction maps, especially the so called self similar 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.