Lévy flights and Lévy-Schrödinger semigroups.
主 题: Lévy flights and Lévy-Schrödinger semigroups.
报告人: Piotr Garbaczewski (University of Opole, Poland)
时 间: 2015-06-05 15:00 - 16:00
地 点: 理科一号楼 1114(数学所活动）
We address two inequivalent patterns of dynamical behavior that are induced either by gradient or additive perturbations of symmetric stable stochastic jump-type processes. Our focus is on confined or spatially trapped random dynamics, associated with Lévy-Schr?dinger semigroups and related jump-type Feller processes. For the latter, the long-time behavior of Lévy noise-driven probability density functions (e.g. that of the thermal Boltzmann-type equilibrium) is analyzed. A possibility of an abnormal asymptotics in diffusive motion (under suitable confining conditions, non-Gaussian heavy-tailed pdfs may arise) will be mentioned.