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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Transport properties of Gaussian measures for nonlinear Schrodinger equations
非线性 薛定谔方程 高斯测度 输运性质
2023/11/13
In the statistical study of Hamiltonian PDEs out of the equilibrium (lack of invariant measures), it is a natural question to understand the transport properties for canonical Gaussian measures. The f...
Since discovering the Higgs boson 10 years ago, the ATLAS and CMS collaborations have been carrying out numerous measurements of its properties and its interactions with other particles, which have be...
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...
At CERN’s Large Hadron Collider (LHC), studies of rare processes allow scientists to infer the presence of heavy particles, including undiscovered particles, that cannot be directly produced. Such par...
The LHCb collaboration has measured a difference in mass between two particles of 0.00000000000000000000000000000000000001 grams – or, in scientific notation, 10-38 g. The result, reported in a paper ...
On $p$-adic Gibbs Measures for Hard Core Model on a Cayley Tree
Cayley trees hard core interaction Gibbs measures translation invariant measures periodic measures
2011/9/20
Abstract: In this paper we consider a nearest-neighbor $p$-adic hard core (HC) model, with fugacity $\lambda$, on a homogeneous Cayley tree of order $k$ (with $k + 1$ neighbors). We focus on $p$-adic ...
Regular $g$-measures are not always Gibbsian
Discrete-time stochastic processes g-measures chains with complete connections non-Gibbsianness chains with variable-length memory
2011/7/28
Abstract: Regular $g$-measures are discrete-time processes determined by conditional expectations with respect to the past. One-dimensional Gibbs measures, on the other hand, are fields determined by ...
Models and measures of mixing and effective diffusion
Models and measures mixing and effective diffusion
2010/11/16
Mixing a passive scalar field by stirring can be measured in a variety of ways including tracer particle dispersion, via the flux-gradient relationship, or by suppression of scalar concentration vari...
Quantum correlation: Comparison of measures with geometry and mutual information
Quantum correlation Comparison measures geometry mutual information
2010/11/5
Two measures for quantum correlations were proposed recently from a geometric perspective [Phys. Rev. Lett. 104, 080501 (2010); e-print arXiv:1004.0190]. We prove the the equivalence of the two geomet...
We propose new measures that distinguish and classify entangled states. The measures are
algebraic invariants of linear maps associated with the states. Considering qubits as well as higher spin syst...
Direct spreading measures of Laguerre polynomials
Orthogonal polynomials Laguerre polynomials spreading lengths
2010/10/27
The direct spreading measures of the Laguerre polynomials L( )n (x), which quantify the distribution of its Rakhmanov probability density n, (x) = 1 d2 n x e−x h L( )n (x)
i2 along the positiv...
Measures of mixing quality in open flows with chaotic advection
mixing quality open flows chaotic advection
2010/4/6
We address the evaluation of mixing efficiency in experiments of chaotic mixing inside an open-flow channel. Since the open flow continuously brings new fluid into the limited mixing region, it is dif...
Physicists in France have come up with a new way of using bouncing ultracold atoms to measure the acceleration due to gravity. The technique involves firing vertical laser pulses at a collection of fr...
Deviation property of Periodic measures in the Symbolic systems
Deviation property Periodic measures Symbolic systems
2015/5/4
Fixing a continuous observable and using thermodynamic formalism and the method of convex analysis, we obtain upper and lower bounds for the exponential decay rate of periodic measures far from a give...
March 16, 2007，A new nanoscale apparatus developed at JILA—a tiny gold beam whose 40 million vibrations per second are measured by hopping electrons—offers the potential for a 500-fold increase in the...