Notes, slides, papers, and supporting material, organized for quick access.
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Automatically synchronized PDF for the publication “Bose–Einstein Condensation without an Initial Low-Energy Concentration Assumption”.
Prof. Jian-Guo Liu's invited talk at Shanghai Jiao Tong University in August 2026. It introduces the two-stage bootstrap method for no condensation and the hinge-token moment mechanism for no gelation developed in the two preprints completed by Luo and Liu. It also outlines possible applications and future work using these techniques to study condensation and gelation in Bose-Einstein condensation (BEC) and wave kinetic equations (WKE).
Automatically synchronized PDF for the publication “On the Spatially Homogeneous Boltzmann Equation with Mass Exchange”.
Automatically synchronized PDF for the publication “No Gelation and Global Existence for a Boltzmann Equation with Regularly Varying Mass-Exchange Rates”.
Siwei Luo