澳门蒲京娱乐场

科学研究
报告题目:

Logarithmic Sobolev inequality on the Heisenberg group

报告人:

罗亮冰 博士 (University of Connecticut)

报告时间:

报告地点:

理学院东北楼二楼报告厅(209)

报告摘要:

The logarithmic Sobolev inequality is regarded as the limiting case of Sobolev inequality. Firstly, a brief introduction to the logarithmic Sobolev inequality on the Euclidean space (including the Riemannian manifolds) will be given. Next, I will introduce some results in recent years about the logarithmic Sobolev inequality on the Heisenberg group which is a non-trivial example of sub-Riemannian manifolds. Then, I will talk about the tensorization of the logarithmic Sobolev inequalities and the dimension independence of the constant in the inequality which implies some further application to some infinite-dimensional sub-Riemannian manifolds.