3 papers
math.PR2022
A trajectorial approach to entropy dissipation for degenerate parabolic equations
Donghan Kim, Lane Chun Yeung
We consider degenerate diffusion equations of the form on a bounded domain and subject to no-flux boundary conditions, for a class of nonlinearities t…
math.PR2021
A trajectorial approach to relative entropy dissipation of McKeanVlasov diffusions: gradient flows and HWBI inequalities
Bertram Tschiderer, Lane Chun Yeung
We formulate a trajectorial version of the relative entropy dissipation identity for McKeanVlasov diffusions, extending the results of the papers [FJ16,KST20a], which apply to n…
math.PR2020
A characterization of transportation-information inequalities for Markov processes in terms of dimension-free concentration
Daniel Lacker, Lane Chun Yeung
Inequalities between transportation costs and Fisher information are known to characterize certain concentration properties of Markov processes around their invariant measures. Thi…