Title:On the stochastic flows out of the SDEs with non-Lipschizian coefficients driven by S.$\,\alpha \,$.S.

Abstract:
We consider a homeomorphism of the map $y \mapsto Y_t (y)$ for fixed
time induced by the SDEs driven by symmetric $\alpha$ stable under the
Lipschizian coefficient. We see that if the coefficients  with the
modulus continuity $\rho(u)=u(\log \frac{1}{u})^{1/\alpha}$ locally,
we obtain that the $y \mapsto Y(y)$ has homeomorphisms with
probability one