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Xue-Mei Li
Has grant
Professor
United KingdomResearch Interests
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About
Professor Xue-Mei Li is a faculty member at Imperial College London, United Kingdom. Her research focuses on stochastic processes, functional limit theorems, and the behavior of systems within fractional environments, as evidenced by her recent publications. She has contributed notably to the understanding of heat kernel estimates, Markov semi-groups, and dynamics influenced by fractional Brownian motion.
Recent Grants
Grant: Close
Multi-Scale Stochastic Dynamics with Fractional Noise
Open Date: 2021-12-01
Close Date: 2024-12-01
Grant: Close
Project title TBC
Open Date: 2020-09-30
Close Date: 2024-09-29
Grant: Close
Project title TBC
Open Date: 2019-09-30
Close Date: 2023-09-29
Grant: Open
EPSRC Centre for Doctoral Training in Mathematics of Random Systems: Analysis, Modelling and Simulation
Open Date: 2019-03-31
Close Date: 2027-09-29
Grant: Close
Stochastic Averaging and Diffusion Creations for Stochastic Equations.
Open Date: 2018-09-30
Close Date: 2022-03-30
Articles (9)
Year:
2023
Year:
2023
Year:
2022
Our first result is a stochastic sewing lemma with quantitative estimates for mild incremental processes, with which we study SPDEs driven by fractional Brownian motions in a random environment. We obtain uniform [Formula: see text]-bounds. Our second result is a fractional averaging principle admitting non-stationary fast environments. As an application, we prove a fractional averaging principle for SPDEs.
Year:
2022
Year:
2022
Year:
2022
Year:
2022
Year:
2021
Year:
2020
Collaborators (2)
Julian Sieber
Imperial College London
Martin Hairer
Prof. at EPFL
EPFL
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