Harnack inequality and long time asymptotics of unbounded additive functionals of regime-switching diffusion processes

Events

Presentation Name：	Harnack inequality and long time asymptotics of unbounded additive functionals of regime-switching diffusion processes
Presenter：	邵景海教授
Date：	2020-08-12
Location：	腾讯会议ID: 999 829 731
Abstract：	This work provides explicit conditions to establish the dimension-free Harnack inequalities respectively for state-independent and state-dependent regime-switching processes. Then such Harnack inequalities are applied to establish the hypercontractivity of the associated semigroup, and further to study the long time asymptotics of unbounded additive functionals of regime-switching processes. Much effort is devoted to overcoming the difficulty caused by the close interaction between the diffusion processes and the Markov chains in the setting of regime-switching processes. 海报
Annual Speech Directory：	No.121

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