Kavli Affiliate: Jing Wang | First 5 Authors: Weiguo Cao, Marc J. Pomeroy, Zhengrong Liang, Yongfeng Gao, Yongyi Shi | Summary: The elasticity of soft tissues has been widely considered as a characteristic property to differentiate between healthy and vicious tissues and, therefore, motivated several elasticity imaging modalities, such as Ultrasound Elastography, Magnetic Resonance Elastography, […]

Kavli Affiliate: Jing Wang | First 5 Authors: Syed Hasib Akhter Faruqui, Adel Alaeddini, Jing Wang, Susan P Fisher-Hoch, Joseph B Mccormick | Summary: Multiple chronic conditions (MCC) are one of the biggest challenges of modern times. The evolution of MCC follows a complex stochastic process that is influenced by a variety of risk factors, […]

Kavli Affiliate: Ran Wang | First 5 Authors: Ruinan Li, Ran Wang, Beibei Zhang, , | Summary: We study Freidlin-Wentzell’s large deviation principle for one dimensional nonlinear stochastic heat equation driven by a Gaussian noise: $$frac{partial u^varepsilon(t,x)}{partial t} = frac{partial^2 u^varepsilon(t,x)}{partial x^2}+sqrt{varepsilon} sigma(t, x, u^varepsilon(t,x))dot{W}(t,x),quad t> 0,, xinmathbb{R},$$ where $dot W$ is white in time […]

Kavli Affiliate: Ran Wang | First 5 Authors: Ruinan Li, Ran Wang, Beibei Zhang, , | Summary: We study Freidlin-Wentzell’s large deviation principle for one dimensional nonlinear stochastic heat equation driven by a Gaussian noise: $$frac{partial u^varepsilon(t,x)}{partial t} = frac{partial^2 u^varepsilon(t,x)}{partial x^2}+sqrt{varepsilon} sigma(t, x, u^varepsilon(t,x))dot{W}(t,x),quad t> 0,, xinmathbb{R},$$ where $dot W$ is white in time […]