Coercive Inequalities and Semi-linear PDEs on Infinite Lattice System
This talk gives an overview of my PhD works on infinite-dimensional particle systems. Namely, we will construct an infinite lattice to model the particle system. We then introduce finite-range interactions on the lattice and derive the associated Gibbs measures. We show that these measures satisfy certain coercive inequalities, which provide ergodicity or contractivity of the associated semi-groups. Finally, we combine the semi-groups with logarithmic nonlinearities and obtain a few energy and entropy bounds.
Due to the current Coronavirus situation, this talk will be online only. Click here to join the talk on Microsoft Teams.