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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Positivity and model complete fields
正性 模型完备域 有理数域
2023/11/13
In recent work with Will Johnson, we have shown that given a curve C over the rational number field Q with genus at least 2 and C(Q) is empty, the class of fields K of characteristic 0 such that C(K) ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Tracing the Evolution of SMBHs and Stellar Objects in Galaxy Mergers: A Multi-mass Direct N-body Model
星系合并 SMBH 恒星物体演化 多质量 直接N体模型
2023/11/13
By using direct N-body numerical simulations, we model the dynamical coevolution of two supermassive black holes (SMBHs) and the surrounding stars in merging galaxies. In order to investigate how diff...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the Geometry of Landau-Ginzburg Model
朗道-金茨堡模型 几何 非紧复流形M
2023/5/15
An LG model (M, f) is given by a noncompact complex manifold M and the holomorphic function f defined on it, which is an important model in string theory. Because of the mirror symmetry conjecture, th...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Minimal model program for generalized pairs
广义对 最小 模型程序
2023/4/23
Generalized pairs are a natural structure in birational geometry that first appeared in Kodaira’s canonical bundle formula for elliptic fibrations. They were formally introduced by Birkar and Zhang in...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Random Surface, Planar Lattice Model, and Conformal Field Theory
随机曲面 平面晶格模型 共形场论
2023/4/13
Liouville quantum gravity (LQG) is a theory of random surfaces that originated from string theory. Schramm Loewner evolution (SLE) is a family of random planar curves describing scaling limits of many...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On a two dimensional nonlocal shallow-water model
二维 非局部 浅水模型 三维欧拉系统
2023/4/14
In this talk, we first review some related progresses on one dimensional shallow water models. Then we introduce the derivation of a new nonlocal shallow water model from the 3D Euler system with free...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Estimation of Common Factors for Microstructure Noise and Effcient Price in a High-frequency Dual Factor Model
高频双因子模型 微结构 噪声公因数 效率价格 估计
2023/4/17
We develop the Double Principal Component Analysis (DPCA) based on a dual factor structure for high-frequency intraday returns contaminated by microstructure noise. The dual factor structure allows a ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Homogenization of a front propagation model in dynamic environments
动态环境 前端传播模型 均质化 一阶哈密尔顿-雅可比方程
2023/4/18
In this talk I will review the developments of homogenization theory for a front propagation model. It is described by a first order Hamilton-Jacobi equation with a Hamiltonian that grows linearly wit...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Energy-preserving Mixed Finite Element Methods for a Ferrofluid Flow Model
铁磁流体 流动模型 节能混合 有限元方法
2023/4/27
We develop a class of mixed finite element methods for the ferrofluid flow model proposed by Shliomis [Soviet Physics JETP, 1972]. We show that the energy stability of the weak solutions to the model ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A decoupled, linear, and unconditionally energy stable finite element method for a two-phase ferrohydrodynamics model
两相铁 流体动力学模型 无条件能量稳定 有限元方法
2023/4/28
In this talk, we present numerical approximations of a phase-field model for two-phase ferrofluids, which consists of the Navier-Stokes equations, the Cahn-Hilliard equation, the magnetostatic equatio...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： A decoupled, linear, and unconditionally energy stable finite element method for a two-phase ferrohydrodynamics model
两相铁流体 动力学模型 能量稳定 有限元方法
2023/4/28
In this talk, we present numerical approximations of a phase-field model for two-phase ferrofluids, which consists of the Navier-Stokes equations, the Cahn-Hilliard equation, the magnetostatic equatio...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Dynamics of a Nutrient-Phytoplankton Model with Random Phytoplankton Mortality
随机浮游植物死亡率 营养-浮游植物 模型动力学
2023/4/28
In this talk, we investigate a stochastic nutrient-phytoplankton model which incorporates the effect of white noise on phytoplankton growth. The global existence and uniqueness of a positive solution,...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Model-free conditional screening for ultrahigh-dimensional survival data via conditional distance correlation
条件距离 相关性 超高维 生存数据 无模型 条件筛选
2023/5/4
How to select the active variables which have significant impact on the event of interest is a very important and meaningful problem in the statistical analysis of ultrahigh-dimensional data. In many ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A Social-Network-Inspired Breast Cancer Risk Assessment Model
社交网络启发 乳腺癌 风险评估 模型
2023/5/5
The pathogenesis of breast cancer is not the same in all countries and regions; therefore, some existing breast cancer risk assessment models are not well adapted to all countries and regions, includi...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Geometric Singular Perturbation Theory and Traveling Pulses with Monotone Tails in a Diffusive Rosenzweig MacArthur Model
扩散 罗森茨威格麦克阿瑟模型 几何奇异摄动理论 单调尾巴行进脉冲
2023/5/5
In this talk, we first briefly review history of the geometric singular perturbation theory, then talk about the traveling pulses for a diffusive Rosenzweig MacArthur model. We show the existence of t...