A5043138062- Geometric Analysis and Curvature Flows
- Nonlinear Partial Differential Equations
- Stochastic processes and financial applications
- Advanced Mathematical Modeling in Engineering
- Point processes and geometric inequalities
- Numerical methods in inverse problems
- Spectral Theory in Mathematical Physics
- Stochastic processes and statistical mechanics
- Markov Chains and Monte Carlo Methods
- Stability and Controllability of Differential Equations
- advanced mathematical theories
- Nonlinear Differential Equations Analysis
- Advanced Harmonic Analysis Research
- Geometry and complex manifolds
- Mathematical Dynamics and Fractals
- Paleontology and Stratigraphy of Fossils
- Analytic and geometric function theory
- Advanced Thermodynamics and Statistical Mechanics
- Fluid Dynamics and Turbulent Flows
- Navier-Stokes equation solutions
- Mathematical Biology Tumor Growth
- Paleontology and Evolutionary Biology
- Bayesian Methods and Mixture Models
- Topological and Geometric Data Analysis
- Mathematical Approximation and Integration
National Applied Research Laboratories
2023-2025
Tianjin University
2015-2024
New Mexico State University
2023-2024
National Tsing Hua University
2008-2024
State Key Laboratory of Biogeology and Environmental Geology
2023-2024
Shandong University
2010-2024
China University of Geosciences
2017-2024
University of North Texas
2024
Southwest University
2024
Nanjing University of Aeronautics and Astronautics
2024
Finely preserved fossil assemblages (lagerstätten) provide crucial insights into evolutionary innovations in deep time. We report an exceptionally Early Triassic assemblage, the Guiyang Biota, from Daye Formation near Guiyang, South China. High-precision uranium-lead dating shows that age of Biota is 250.83 +0.07/–0.06 million years ago. This only 1.08 ± 0.08 after severe Permian-Triassic mass extinction, and this assemblage therefore represents oldest known Mesozoic lagerstätte found so...
In the 1980s China experienced "an explosion of pent-up entrepreneurship" facilitated by wide-ranging, although often unorthodox, economic reforms. This article uses data on output 23 industrial sectors in seven coastal regions (provinces and counties) over period 1985 to 1989 study correlates growth. Although industry-specific feature—the degree specialization competition—had some influence growth, much action came from region-specific influences regional spillovers. Regional included...
By using coupling and Girsanov transformations, the dimension-free Harnack inequality strong Feller property are proved for transition semigroups of solutions to a class stochastic generalized porous media equations. As applications, explicit upper bounds Lp-norm density as well hypercontractivity, ultracontractivity compactness corresponding semigroup derived.
A logarithmic type Harnack inequality is established for the semigroup of solutions to a stochastic differential equation in Hilbert spaces with non-additive noise. As applications, strong Feller property as well entropy-cost are derived respect corresponding distance (cost function).
By constructing a coupling with unbounded time-dependent drift, dimension-free Harnack inequalities are established for large class of stochastic differential equations multiplicative noise. These applied to the study heat kernel upper bound and contractivity properties semigroup. The main results also extended reflecting diffusion processes on Riemannian manifolds nonconvex boundary.
By investigating path-distribution dependent stochastic differential equations, the following type of nonlinear Fokker–Planck equations for probability measures $ (\mu_t)_{t \geq 0} on path space {\scr {C}}: = C([-r_0, 0];\mathbb R^d), is analyzed: \begin{document}$ \partial_t \mu(t) L_{t, \mu_t}^*\mu_t, \ t\ge 0, $\end{document} where image \mu_t under projection {C}}\ni\xi\mapsto \xi(0)\in\mathbb R^d $, and \begin{align*} \mu}(\xi)&: \frac 1 2\sum\limits_{i, j 1}^d a_{ij}(t, \xi,...
Extinction selectivity determines the direction of macroevolution, especially during mass extinction; however, its driving mechanisms remain poorly understood. By investigating physiological marine animals Permian-Triassic extinction, we found that clades with lower O
A variational formula for the lower bound of spectral gap an elliptic operator is presented in paper first time. The main known results are either recovered or improved. large number new examples with sharp estimate illustrated. Moreover, as application march coupling, Poincaré inequality respect to absolute distribution process also studied.