2023 - Research.com Mathematics in United Kingdom Leader Award
2022 - Research.com Mathematics in United Kingdom Leader Award
2008 - Fellow of the Royal Society of Edinburgh
Xuerong Mao mainly investigates Stochastic differential equation, Mathematical analysis, Brownian motion, Differential equation and Exponential stability. Stochastic differential equation is a subfield of Applied mathematics that Xuerong Mao tackles. His Mathematical analysis research integrates issues from Lyapunov exponent and Stationary distribution.
The concepts of his Brownian motion study are interwoven with issues in Probability distribution, Stochastic modelling, Mathematical physics, Differential and Markov chain. His Differential equation study incorporates themes from Martingale, Hybrid system and Brownian noise. His Exponential stability research is multidisciplinary, relying on both Almost surely and Stochastic process.
Xuerong Mao mostly deals with Stochastic differential equation, Mathematical analysis, Exponential stability, Applied mathematics and Differential equation. In his study, Markov chain, Stochastic process and Stochastic modelling is strongly linked to Brownian motion, which falls under the umbrella field of Stochastic differential equation. His work deals with themes such as Differential and Lyapunov function, which intersect with Exponential stability.
His Applied mathematics study integrates concerns from other disciplines, such as Class, Bounded function, Monte Carlo method and Epidemic model. His Differential equation research integrates issues from Almost surely, Semimartingale, Martingale and Exponential function. The various areas that Xuerong Mao examines in his Stochastic partial differential equation study include Runge–Kutta method, Numerical partial differential equations, Distributed parameter system and Delay differential equation.
Xuerong Mao focuses on Applied mathematics, Stochastic differential equation, Exponential stability, Nonlinear system and Stability. His Applied mathematics study incorporates themes from Euler–Maruyama method, Differential, Class, Bounded function and Lipschitz continuity. His Stochastic differential equation research includes themes of Poisson distribution, Brownian motion, Constant, Approximate solution and Variable.
Xuerong Mao usually deals with Exponential stability and limits it to topics linked to Differential equation and Upper and lower bounds. His Stability study frequently links to adjacent areas such as Mathematical analysis. His biological study spans a wide range of topics, including Markov process and Markov chain.
His scientific interests lie mostly in Applied mathematics, Stochastic differential equation, Exponential stability, Brownian motion and Stability. His studies deal with areas such as Rate of convergence and Bounded function as well as Applied mathematics. Xuerong Mao frequently studies issues relating to Class and Stochastic differential equation.
His research integrates issues of Almost surely and Lyapunov function in his study of Exponential stability. He has included themes like Differential, Lipschitz continuity and Nonlinear system in his Stability study. His study in Differential is interdisciplinary in nature, drawing from both Lyapunov functional and Mathematical analysis.
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Stochastic differential equations and applications
Stochastic Differential Equations with Markovian Switching
Xuerong Mao;Chenggui Yuan.
Stochastic differential equations and their applications
Exponential Stability of Stochastic Differential Equations
Stability of stochastic differential equations with Markovian switching
Stochastic Processes and their Applications (1999)
Environmental Brownian noise suppresses explosions in population dynamics
Xuerong Mao;Glenn Marion;Eric Renshaw.
Stochastic Processes and their Applications (2002)
Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations
Desmond J. Higham;Xuerong Mao;Andrew M. Stuart.
SIAM Journal on Numerical Analysis (2002)
A Stochastic Differential Equation SIS Epidemic Model
Alison J. Gray;David Greenhalgh;Liangjian Hu;Xuerong Mao.
Siam Journal on Applied Mathematics (2011)
Exponential stability of stochastic delay interval systems with Markovian switching
IEEE Transactions on Automatic Control (2002)
Stability of stochastic delay neural networks
Steve Blythe;Xuerong Mao;Xiaoxin Liao.
Journal of The Franklin Institute-engineering and Applied Mathematics (2001)
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