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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：C1,1/3- very weak solutions to the two dimensional Monge–Ampère equation
二维 Monge–Ampère方程 C1,1/3极弱解
2023/11/29
For any θ<1/3 , we show that very weak solutions to the two-dimensional Monge–Ampère equation with regularity C1,θ are dense in the space of continuous functions. This result is shown by a convex inte...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Weak values as statistical estimation
统计估计 弱值 量子可观测值 最小方差
2023/11/15
Given a quantum observable and a state, one can construct a classical observable, such that it is the optimal estimate of the quantum observable, in the sense of minimum variance. We demonstrate how t...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Many-body localization and quantum many-body scars: The strong and weak form of ergodicity breaking
多体定位 量子多体疤痕 遍历性断裂 强弱形式
2023/4/23
The fate of an isolated quantum many-body system has attracted much attention in the past decade. One of the most important issues is whether such a system can reach thermalization under its own dynam...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Weak multisymplectic spectral integrators with a resolution of Gibbs phenomenon
吉布斯现象 分辨率 弱多辛谱 积分器
2023/4/28
We will report our recent work on weak multisymplectic spectral integrators for a wide range of nonsmooth Hamiltonian partial differential equations, which appear in quite a few physical applications ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Peakon Models II: Weak-kink, interactions with peakon, and Remedies
Peakon模型 弱扭结 相互作用 补救措施
2023/5/8
In the 2nd part of the series talks, I will introduce the new phenomena of weak-kink and its interaction with regular peakons which we recently developed. Such models include cubic Camassa-Holm (CH) t...
In the Standard Model of particle physics, the Brout–Englert–Higgs mechanism provides mass to elementary particles. While physicists are carrying out direct studies of the Higgs boson to test this mec...
Planckian metals have the potential to power high-temperature superconductors, quantum computers and a host of other next-generation technologies. However, these “strange” metals – in which electrical...
Kinesins ignore weak forces as they carry heavy loads（图）
Kinesins ignore weak forces carry heavy loads
2017/10/25
If you’re the motor protein up front, be prepared to do the heavy pulling.That’s one conclusion from a Rice University-led study of the mechanisms that drive kinesins, motor proteins that carry cargo ...
Direct Measurements of Electric Fields in Weak OH••π Hydrogen Bonds
Direct Measurements Electric Fields Weak OH• • π Hydrogen Bonds
2016/5/25
Hydrogen bonds and aromatic interactions are of widespread importance in chemistry, biology, and materials science. Electrostatics play a fundamental role in these interactions, but the magnitude of t...
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 ...
Global weak solutions for a Vlasov-Fokker-Planck/Navier-Stokes system of equations
Global weak solutions Vlasov-Fokker-Planck Navier-Stokes system of equations
2015/10/15
We establish the existence of a weak solutions for a coupled system of kinetic and fluid equations. More precisely, we consider a Vlasov-FokkerPlanck equation coupled to compressible Navier-Stokes equ...
EXISTENCE OF WEAK SOLUTIONS TO KINETIC FLOCKING MODELS
flocking kinetic equations existence velocity averaging CuckerSmale self-organized dynamics
2015/10/15
We establish the global existence of weak solutions to a class of kinetic flocking equations. The models under conideration include the kinetic Cucker-Smale equation [6, 7] with possibly non-symmetric...
The April 6, 2009, Mw 6.3, L'Aquila sequence: weak-motion and strong-motion data recorded by the RAIS temporary stations
Surveys measurements and monitoring Seismological data L'Aquila earthquake Aftershocks
2015/8/28
The aim of this study is the sharing of waveforms recorded by several Istituto Nazionale di Geofisica e Vulcanologia (INGV) temporary stations (managed by the Milan-Pavia section; INGV MI-PV). These s...
The geometry of groups satisfying weak almost-convexity or weak geodesic-combability conditions
almost-convexity geodesic-combability
2015/8/26
We examine the geometry of the word problem of two different types groups: those satisfying weak almost-convexity conditions and those admitting geodesic combings whose width satisfy minimally restric...
Higher Criticism Thresholding: Optimal Feature Selection when Useful Features are Rare and Weak
Criticism Thresholding Feature Selection
2015/8/21
Linear classi cation analysis is a fundamental tool for science
and technology. In important application elds today { genomics and proteomics are examples { one automatically obtains very high-dimen...