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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Dean-Kawasaki equation with singular non-local interactions：well-posedness and large deviations
奇异非局部 相互作用 Dean-Kawasaki方程 适定性 大偏差
2023/11/13
The Dean-Kawasaki equation with non-local singular interactions and correlated noise will be introduced, which describes the evolution of the density function for a system of finitely many particles g...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Rigid local systems from Geometric Langlands
几何 朗兰兹 刚性局部系统
2023/4/17
Rigid local systems over algebraic curves are those local systems determined by their local monodromies. They include many important classical local systems, such as those obtained from Bessel equatio...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global and Local Convergence-Rate Analysis of an Inexact Newton Augmented Lagrangian Method for Zero-One Composite Optimization
零一复合优化 不精确 牛顿增强拉格朗日方法 收敛率分析
2023/4/14
Zero-One Composite Optimization (0/1-COP) is a prototype of nonsmooth, non- convex optimization problems and it has attracted much attention recently. Augmented Lagrangian Method (ALM) has stood out a...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Local Method for Compositional Inverses of Permutation Polynomials
置换 多项式复合逆 局部方法
2023/4/18
In this talk, we will talk about a local method to find compositional inverses of all PPs, some new PPs and their compositional inverses are given.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Non-local operators with low-order singular kernels
低阶 奇异内核 非局部 运算符 正则性估计 二阶椭圆方程
2023/4/24
The regularity estimates have well-established for second-order elliptic and parabolic equations, as well as for equations with stable-like non-local operators. Whether similar results hold for non-lo...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Overview and local syntomic computations
概述 局部 同步计算
2023/4/27
Give a quick overview of the paper and introduce the period rings. Then explain local syntomic computations.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Suspension Homotopy of 4-manifolds And the Second 2-local Cohomotopy Sets
4-流形 悬浮同伦 第二个 2-局部 同伦集合
2023/4/28
In this talk we study the homotopy type of the (double) suspension of an orientable, closed, connected 4-manifold M, whose integral homology can have 2-torsion. Moreover, the decomposition results are...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：First-order methods for convex optimization and monotone inclusions under local Lipschitz conditions
局部利普希茨条件 凸优化 单调夹杂物 一阶方法
2023/5/6
In this talk, we first consider convex optimization whose smooth components have a locally Lipschitz continuous gradient and propose a first-order method for finding an epsilon-KKT solution. We then c...
Boundary Harnack principle and gradient estimates for fractional Laplacian perturbed by non-local operators
Harmonic function boundary Harnack principle gradient estimate
2016/1/20
Boundary Harnack principle and gradient estimates for fractional Laplacian perturbed by non-local operators.
Discovering and Orienting the Edges Connected to a Target Variable in a DAG via a Sequential Local Learning Approach
Causal network Directed acyclic graph Discover causes and effects
2016/1/20
Given a target variable and observational data, we propose a sequential learning approach for discovering direct cause and effect variables of the target under the causal network frame-work. In the ap...
DELIGNE PAIRINGS AND FAMILIES OF RANK ONE LOCAL SYSTEMS ON ALGEBRAIC CURVES
DELIGNE PAIRINGS LOCAL SYSTEMS ALGEBRAIC CURVES
2015/12/17
For smooth families of projective algebraic curves, we extend the notion of intersection pairing of metrized line bundles to a pairing on line bundles with flat relative connections. In this setting, ...
LOCAL WELL-POSEDNESS OF NONLINEAR DISPERSIVE EQUATIONS ON MODULATION SPACES
Fourier multiplier weighted modulation space short-time Fourier transform nonlinear Schrodinger equation nonlinear wave equation nonlinear Klein-Gordon equation conservation of energy
2015/12/10
By using tools of time-frequency analysis, we obtain some improvedlocal well-posedness results for the NLS, NLW and NLKG equations with Cauchy data in modulation spaces Mp, 0,s
Existence of solutions for a higher order non-local equation appearing in crack dynamics
Hydraulic fractures Higher order equation Non-local equation Thin film equation Non-negative solutions periodic Hilbert transform
2015/10/15
In this paper, we prove the existence of non-negative solutions for a non-local higher order degenerate parabolic equation arising in the modeling of hydraulic fractures. The equation is similar to th...
EXISTENCE AND ASYMPTOTICS OF FRONTS IN NON LOCAL COMBUSTION MODELS
EXISTENCE ASYMPTOTICS NON LOCAL COMBUSTION MODELS
2015/10/15
We prove the existence and give the asymptotic behavior of non local fronts in homogeneous media.
ON STRONG LOCAL ALIGNMENT IN THE KINETIC CUCKER-SMALE MODEL
STRONG LOCAL ALIGNMENT KINETIC CUCKER-SMALE MODEL
2015/10/15
In the recent papers [4, 5] the authors study the existence of weak solutions and the hydrodynamic limit of kinetic flocking equations with strong local alignment. The introduction of a strong local a...