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math.PR2022★ 5 cited
McKean-Vlasov SDE and SPDE with Locally Monotone Coefficients
Wei Hong, Shanshan Hu, Wei Liu
In this paper we mainly investigate the strong and weak well-posedness of a class of McKean-Vlasov stochastic (partial) differential equations. The main existence and uniqueness re…
math.PR2022
Pathwise Blowup of space-time fractional SPDEs
Chang-Song Deng, Wei Liu, Erkan Nane
The finite time blowup in the almost sure sense of a class of space-time fractional stochastic partial differential equations is discussed. Both the cases of white noise and colore…
math.NT2022
Weighted average values of automorphic -functions
Wei Liu
Let be the set of primitive Hecke eigenforms of weight 2 and prime level . For prime and , we prove asymptotic formulas for the sums $$ \mathcal…