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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Random phase approximation for the mean-field electron gas （3）
平均场 电子气 随机相位近似
2023/11/29
Random phase approximation (RPA) was proposed by Bohm and Pines in four seminal papers during 1951-1953 to describe the correlation of fermions, namely the correction to the Hartree-Fock theory. While...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Random Surface, Planar Lattice Model, and Conformal Field Theory
随机曲面 平面晶格模型 共形场论
2023/4/13
Liouville quantum gravity (LQG) is a theory of random surfaces that originated from string theory. Schramm Loewner evolution (SLE) is a family of random planar curves describing scaling limits of many...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The level-set percolation of Gaussian free field
高斯自由场 水平 集渗流
2023/5/17
In this lecture, I will discuss some of the recent progresses in the level-set percolation of Gaussian free field in (d\geq 3), including the positivity of threshold and (if time permits) sharp phase ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： The level-set percolation of Gaussian free field
高斯自由场 水平集渗流 随机交错
2023/5/18
In this lecture, I will discuss some of the recent progresses in the level-set percolation of Gaussian free field in (d\geq 3), including the positivity of threshold and (if time permits) sharp phase ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Interlacement and Gaussian Free Field
交叠 高斯自由场 格林函数
2023/5/18
The (discrete) Gaussian free field (dGFF) on a transient graph, simply put, is the random Gaussian field with covariance given through Green’s function of the random walk on that graph. It is in many ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The linearized Vlasov and Vlasov-Fokker-Planck equations in a uniform magnetic field
均匀磁场 线性化 Vlasov Vlasov-Foker-Planck方程
2023/5/17
We study the linearized Vlasov equations and the linearized Vlasov-Fokker-Planck equations in the weakly collisional limit in a uniform magnetic field. In both cases, we consider periodic confinement ...
Earth's last magnetic field reversal took far longer than once thought（图）
Earth magnetic field reversal took longer once thought
2019/10/21
Earth's magnetic field seems steady and true -- reliable enough to navigate by. Yet, largely hidden from daily life, the field drifts, waxes and wanes.The magnetic North Pole is currently shifting tow...
University of Utah mathematicians propose a theoretical framework to understand how waves and other disturbances move through materials in conditions that vary in both space and time. The theory, call...
Exactly calculable field components of electric dipoles in planar boundary
calculable field components electric dipoles planar boundary
2015/10/16
The Sommerfeld integrals for the electromagnetic fields in the planar boundary between air and a homogeneous, isotropic medium, due to a horizontal and a vertical electric dipole each lying along the ...
PREDICTION OF BIODIVERSITY - CORRELATION OF REMOTE SENSING DATA WITH LICHEN FIELD SAMPLES
Orthoimage Modelling Land Cover Prediction Correlation High resolution Segmentation Environment
2015/7/29
The objective of the present study was to develop a model to predict lichen species richness for six test sites in the Swiss Pre-Alps
following a gradient of land use intensity combining airborne re...
GENERAL-RELATIVITY AS AN EFFECTIVE-FIELD THEORY - THE LEADING QUANTUM CORRECTIONS
Effective gravity quantum field theory natural separation low energy quantum effects high energy massless particles
2014/12/23
I describe the treatment of gravity as a quantum effective field theory. This allows a natural separation of the (known) low energy quantum effects from the (unknown) high energy contributions. Within...
The techniques of dispersion relations match very well with those of effective field theory. I describe the techniques for using dispersion relations effectively, and give some pedagogical examples to...
Is SU(3) Chiral Perturbation Theory an Effective Field Theory?
Convergence properties of chiral perturbation theory the calculation relies on the pattern
2014/12/22
We argue that the difficulties associated with the convergence properties of conventional SU(3) chiral perturbation theory can be ameliorated by use of a cutoff, which suppresses the model-dependent s...
The Electromagnetic and Hadronic Physics sub-community of nuclear physics held a town hall meeting at Jefferson Lab during November 30 to December 4 of 2000. This is is our combined contribution to th...
Effective Field Theory and Xpt
Chiral perturbation theory the effective field theory Bates virtual Compton scattering measurements
2014/12/22
A brief introduction to the subject of chiral perturbation theory ($\chi$pt) is given, including a discussion of effective field theory and application to the upcoming Bates virtual Compton scattering...