4 papers
Tamed Euler Approximation of Invariant Measures for Weakly Interacting Particle Systems and McKean--Vlasov Equations
Lingyan Cheng, Ruinan Li, Shiyu Liu +1
We analyze explicit tamed Euler approximations for weakly interacting particle systems and McKean--Vlasov diffusions with additive noise and polynomially weighted locally Hölder, p…
Large and Moderate deviation principles for the Multivalued McKean-Vlasov SDEs with jumps
Lingyan Cheng, Caihong Gu, Wei Liu +1
By using the weak convergence method, we establish the large and moderate deviation principles for the multivalued McKean-Vlasov SDEs with non-Lipschitz coefficients driven by Lévy…
Existence of Solutions for Multivalued Mckean-Vlasov SDEs with Non-Lipschitz Coefficients Driven by Jump Processes
Lingyan Cheng, Caihong Gu, Wei Liu +1
In this paper, we first establish the existence and uniqueness of strong solutions for multivalued McKean-Vlasov stochastic differential equations (MMVSDEs) driven by Lévy noise wi…
General large deviations and functional iterated logarithm law for multivalued McKean-Vlasov stochastic differential equations
Lingyan Cheng, Wei Liu, Huijie Qiao +1
In this paper, we present sufficient conditions and criteria to establish general large and moderate deviation principles for multivalued McKean-Vlasov stochastic differential equa…