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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Heisenberg-Pauli-Weyl uncertainty principle based on Phase derivatives
相位导数 Heisenberg Pauli-Weyl不确定性原理
2023/11/13
In this talk we introduce some recent developments of Heisenberg-Pauli-Weyl uncertainty principle in the different settings.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Energy stability and error analysis of a maximum bound principle preserving scheme for the dynamical Ginzburg-Landau equations of Superconductivity
超导动力学 金茨堡-朗道方程 最大界界原理 能量稳定性 误差分析
2023/4/25
We focus on numerical study of the dynamical Ginzburg-Landau equations under the temporal gauge, and propose a decoupled numerical scheme based on the finite element method. For the variable A, the se...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Arbitrarily high-order cut-off methods to preserve maximum bound principle for Allen-Cahn equations
Allen-Cahn equations 最大界限原理 任意高阶 截止方法
2023/4/14
A new class of high-order maximum principle preserving numerical methods is proposed for solving the semilinear Allen-Cahn equation. We start with the method consists of a $k$th-order multistep expone...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Large deviations principle for weighted means of a recursive numerical method for ergodic SDEs
遍历 SDE递归 数值方法 加权均值 大偏差原理
2023/4/24
For ergodic SDEs, their ergodic limits are usually approximated by the suitable means of numerical methods. To reveal the numerical asymptotic behavior, we study the large deviations principle (LDP) f...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Large deviations in random interlacements I: Large deviation principle of occupation measures
随机交错 大偏差 占用措施 大偏差原则
2023/5/10
In this lecture, I will talk about the large deviation problems in random interlacements, in particular the LDP of the occupation measure, and discuss its relations to sharp asymptotic probabilities o...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Boltzmann-Gibbs principle in L^p sense via Littlewood-Paley-Stein inequality
L^p意义 玻尔兹曼-吉布斯原理 利特尔伍德-佩利-斯坦不等式
2023/5/15
KPZ limit for one-dimensional weakly asymmetric Ginzburg-Landau model was studied by Diehl-Gubinelli-Perkowski in a setting of martingale (energy) solution. Our goal is to apply a path-wise approach b...
Scientists show 'Red Queen' evolutionary principle at work in microbes in waters off Southern California（图）
Scientists Red Queen evolutionary principl microbes waters off Southern California
2019/12/20
In the waves off Southern California, germ warfare occurs in a struggle as old as life itself. That's where University of Southern California marine biologists recently completed a comprehensive new s...
Indiana University and Virginia Tech geochemists show experimental verification of key principle
Indiana University Virginia Tech geochemists
2016/3/21
Geochemists at Indiana University and Virginia Tech have developed and demonstrated a technique for assessing the validity of a principle that has long been important in thermodynamics and chemical ki...
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.
WEAK UNCERTAINTY PRINCIPLE FOR FRACTALS,GRAPHS AND METRIC MEASURE SPACES
Uncertainty principle p.c.f. fractal Heisenberg’s inequality measure metric spaces Poincar′ e inequality self-similar graphs Sierpinski ′ gasket uniform finitely ramified graphs
2015/12/10
We develop a new approach to formulate and prove the weak uncertainty inequality which was recently introduced by Okoudjou and Strichartz.We assume either an appropriate measure growth condition with ...
Averaging principle for quasi-linear parabolic PDE’s and related diffusion processes
Quasi linear disturbance two dimensional flow parabola and small parameter
2015/9/28
Quasi-linear perturbations of a two-dimensional flow with a first integral and the corresponding parabolic PDE’s with a small parameter at the second order derivatives are considered in th...
A dinner table seats k guests and holds n discrete morsels of food. Guests select morsels in turn until all are consumed. Each guest has a ranking of the morsels according to how much he would enjoy e...
FROM THE PRESIDENT | New Organizing Principle for Ocean Sciences
THE PRESIDENT New Organizing Principle Ocean Sciences
2015/7/3
Recently, something remarkable happened. The US Congress passed, and President Obama signed into law, five ocean-related bills that were included in the Public Lands Management Act of 2009. These five...
Equivalence Principle Violations and Couplings of a Light Dilaton
Exchange of light coupling inverse cubic root atoms scalar coupling parameterized
2014/12/18
We consider possible violations of the equivalence principle through the exchange of a light “dilaton-like” scalar field. Using recent work on the quark-mass dependence of nuclear binding, we find tha...
Phenomenology of the equivalence principle with light scalars
Scalar particles of light the coupling strength scalar atoms coupling system the coupling
2014/12/18
Light scalar particles with couplings of sub-gravitational strength, which can generically be called 'dilatons', can produce violations of the equivalence principle. However, in order to understand ex...