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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...
上海交通大学自动控制原理英文课件Chapter5-1 Principle of Automatic Control
上海交通大学 自动控制原理 英文课件 Chapter5-1 Principle of Automatic Control
2019/11/14
上海交通大学自动控制原理英文课件Chapter5-1 Principle of Automatic Control。
Secure Two-Party Computation with Fairness -- A Necessary Design Principle
secure computation fairness definitions of security
2017/9/28
Protocols for secure two-party computation enable a pair of mutually distrustful parties to carry out a joint computation of their private inputs without revealing anything but the output. One importa...
Comment on Ashtekar:Generalization of Wigner's Principle
T-violation time physics quantum theory symmetry time reversal
2016/6/15
Ashtekar (2013) has illustrated that two of the available roads to testing for time asymmetry can be generalized beyond the structure of quantum theory, to much more general formulations of mechanics....
One finds, even in texts by distinguished physicists, diverse enunciations of the correspondence principle. Typical is that quantum mechanics should agree with classical mechanics in some appropriate ...
Can Bayesian agents always be rational?A principled analysis of consistency of an Abstract Principal Principle
Bayesianism Principal Principle interpretation of probability
2016/6/15
The paper takes the Abstract Principal Principle to be a norm demanding that subjective degrees of belief of a Bayesian agent be equal to the objective probabilities once the agent has conditionalized...
On the Galoisian Structure of Heisenberg Indeterminacy Principle
Galois-Grothendieck Theory Quantum mechanics Heisenberg Indeterminacy Principle, Symmetries/Invariants
2016/6/15
We revisit Heisenberg indeterminacy principle in the light of the Galois-Grothendieck theory for the case of finite abelian Galois extensions. In this restricted framework, the Galois-Grothendieck dua...
Formal statement of the special principle of relativity
relativity principle covariance operational
2016/6/13
While there is a longstanding discussion about the interpretation of the extended, general principle of relativity, there seems to be a consensus that the special principle of relativity is absolutely...
Model Verification and the Likelihood Principle
Model verification Mis-specification testing Hypothesis testing Likelihood principle Sufficiency principle Evidence
2016/6/13
The likelihood principle (LP) is typically understood as a constraint on any measure of evidence arising from a statistical experiment. It is not sufficiently often noted, however, that the LP assumes...