Search Results - "Xi, Fubao"
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Asymptotic properties of jump-diffusion processes with state-dependent switching
Published in Stochastic processes and their applications (01-07-2009)“…This work is concerned with a class of jump-diffusion processes with state-dependent switching. First, the existence and uniqueness of the solution of a system…”
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On the stability of jump-diffusions with Markovian switching
Published in Journal of mathematical analysis and applications (01-05-2008)“…In this paper we consider the stability for a class of jump-diffusions with Markovian switching. We first construct them successively and show that they can be…”
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3
Explicit conditions for asymptotic stability of stochastic Liénard-type equations with Markovian switching
Published in Journal of mathematical analysis and applications (01-12-2008)“…This paper deals with the boundedness in probability and convergence for solutions of stochastic Liénard-type equations. Some explicit conditions to ensure…”
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4
Convergence, boundedness, and ergodicity of regime-switching diffusion processes with infinite memory
Published in Frontiers of mathematics in China (01-04-2021)“…We study a class of diffusion processes, which are determined by solutions X ( t ) to stochastic functional differential equation with infinite memory and…”
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5
Jump-diffusions with state-dependent switching: existence and uniqueness, Feller property, linearization, and uniform ergodicity
Published in Science China. Mathematics (01-12-2011)“…This work focuses on a class of jump-diffusions with state-dependent switching. First, compared with the existing results in the literature, in our model, the…”
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6
Exponential ergodicity for stochastic functional differential equations with Markovian switching
Published in Journal of mathematical analysis and applications (01-06-2024)“…This paper investigates exponential ergodicity for several kinds of stochastic functional differential equations (SFDEs) with Markovian switching. Firstly, we…”
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7
Asymptotic Properties of a Mean-Field Model with a Continuous-State-Dependent Switching Process
Published in Journal of applied probability (01-03-2009)“…This work is concerned with a class of mean-field models given by a switching diffusion with a continuous-state-dependent switching process. Focusing on…”
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8
Successful couplings for diffusion processes with state-dependent switching
Published in Science China. Mathematics (01-10-2013)“…This work is concerned with successful couplings for a class of multidimensional diffusion processes with state-dependent switching. We construct a type of…”
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9
Numerical solutions of regime-switching functional diffusions with infinite delay
Published in Stochastic models (01-11-2024)“…We study a class of diffusion processes which are determined by solutions X(t) to stochastic functional differential equation with infinite memory and random…”
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10
Stationary distribution of stochastic population dynamics in state-dependent random environments
Published in Systems & control letters (01-10-2020)“…This work studies the stationary distribution of stochastic Lotka–Volterra population dynamics in state-dependent random environments. We first use the…”
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11
The tail behavior of jump-diffusion Cox–Ingersoll–Ross processes with regime-switching
Published in Statistics & probability letters (01-02-2022)“…This paper studies the tail behavior of jump-diffusion Cox–Ingersoll–Ross (JCIR) processes with regime-switching. We first provide the criteria of the…”
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12
Moderate deviations for neutral functional stochastic differential equations driven by Levy noises
Published in Frontiers of mathematics in China (01-06-2020)“…Using the weak convergence method introduced by A. Budhiraja, P. Dupuis, and A. Ganguly [Ann. Probab., 2016, 44: 1723{1775], we establish the moderate…”
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13
On a class of McKean-Vlasov stochastic functional differential equations with applications
Published in Journal of Differential Equations (25-10-2023)“…This paper studies a class of McKean-Vlasov stochastic functional differential equations in which the dynamics of the underlying process may depend on its…”
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14
Large deviations for slow–fast processes on connected complete Riemannian manifolds
Published in Stochastic processes and their applications (01-12-2024)“…We consider a class of slow–fast processes on a connected complete Riemannian manifold M. The limiting dynamics as the scale separation goes to ∞ is governed…”
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15
Stability of a random diffusion with nonlinear drift
Published in Statistics & probability letters (01-07-2004)“…For the solution to a rather general nonlinear stochastic differential equation with Markovian switching, we first prove its Feller continuity and the…”
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16
Moderate deviations for neutral stochastic differential delay equations with jumps
Published in Statistics & probability letters (01-07-2017)“…A moderate deviation principle for neutral stochastic differential delay equations driven by Poisson random measure is established. The weak convergence method…”
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17
On strong Feller property, exponential ergodicity and large deviations principle for stochastic damping Hamiltonian systems with state-dependent switching
Published in Journal of Differential Equations (15-06-2021)“…This work focuses on a class of stochastic damping Hamiltonian systems with state-dependent switching, where the switching process has a countably infinite…”
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18
Strong ergodicity of the regime-switching diffusion processes
Published in Stochastic processes and their applications (01-11-2013)“…We provide criteria for the strong ergodicity of regime-switching diffusion processes. Our conditions are imposed on the coefficients of the processes…”
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19
Stability for a random evolution equation with Gaussian perturbation
Published in Journal of mathematical analysis and applications (15-08-2002)“…In this paper we consider a random evolution equation which is perturbed by Gaussian type noise, and show how to construct its coupled solutions. On the basis…”
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20
Asymptotic properties for the parameter estimation in stochastic (functional) differential equations with Hölder drift
Published in Stochastics (Abingdon, Eng. : 2005) (31-12-2024)“…In this paper, by taking Zvonkin's transformation, we investigate parameter estimation for a class of multidimensional stochastic differential equations with…”
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