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Wasserstein bounds for invariant measures in the Smoluchowski-Kramers approximation with stable noise
Xinghu Jin, Wenxuan Tao
We study invariant position distributions in the Smoluchowski-Kramers approximation for Langevin equations driven by rotationally symmetric \(α\)-stable noise, with \(α\in(1,2)\).…
A Khintchine type inequality for non-independent random variables
Jingyu Huang, Wenxuan Tao
In this short note we give a Khintchine-type inequality involving non-independentrandom variables. The basic setting is inspired by Breuer-Major theorem and the proof is based on a…
Three-dimensional stochastic wave equation with non-Lipschitz coefficients
Jingyu Huang, Wenxuan Tao
We consider the three-dimensional stochastic wave equation (SWE) driven by a multiplicative Gaussian noise that is white in time and colored in space: \[ \frac{\partial^2 u}{\parti…
Ergodicity and asymptotic limits for Langevin interacting systems with singular forces and multiplicative noises
Manh Hong Duong, Hung Dang Nguyen, Wenxuan Tao
In this paper, we study systems of interacting particles described by the classical and relativistic Langevin dynamics with singular forces and multiplicative noises. For the c…