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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：Instanton Floer homology and Heegaard diagrams
瞬子 弗洛尔同调和 希加德图
2023/4/21
Instanton Floer homology was introduced by Floer in 1980s and has become a power invariants for three manifolds and knots since then. It has lead to many milestone results, such as the approval of Pro...
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 ...
Dynamics of systems with isotropic competing interactions in an external field: a Langevin approach
Dynamics of systems isotropic competing interactions external field: a Langevin approach
2010/11/25
We study the Langevin dynamics of a ferromagnetic Ginzburg-Landau Hamiltonian with a competing longrange repulsive term in the presence of an external magnetic field. The model is analytically solved ...
Effective-Field Theory on High Spin Systems with Biaxial Crystal Field
effective-field theory magnetic properties biaxial crystal field quantum effects
2007/8/15
2006Vol.46No.6pp.1105-1108DOI:
Effective-Field Theory on High Spin Systems with Biaxial Crystal Field
JIANG Wei,1 GUO An-Bang,1 LI Xin,1 WANG Xi-Kun,1 and
BAI Bao-Dong2
...
Bose-Einstein Condensation in Classical Systems
Bose-Einstein Condensation Classical Systems
2010/10/18
It is shown, that Bose-Einstein statistical distributions can occur not only in quantum system,
but in classical systems as well. The coherent dynamics of the system, or equivalently
autocatalytic d...