ИСТИНА

The talk is devoted to the three new directions of research: 1) Rates of convergence in the functional CLT with stable limits; 2) Domains of quasi-attraction as distributions, whose normalised sums of $n$ i.i.d terms approach stable laws for large, but not too large $n$ (full quantitative and qualitative description of this effect in a functional setting); 3) Rates of convergence of CTRWs (continuous time random walks) to fractional evolutions. The ideas of the talk are taken from the recent author's papers (1) The Rates of Convergence for Functional Limit Theorems with Stable Subordinators and for CTRW Approximations to Fractional Evolutions. Fractal Fract. (2023), 7, 335. https://doi.org/10.3390/fractalfract7040335 (2) Domains of Quasi Attraction: Why Stable Processes Are Observed in Reality? Fractal Fract. (2023), 7, 752. https://doi.org/10.3390/fractalfract7100752