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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 ...
Parameter-free ansatz for inferring ground state wave functions of even potentials
Parameter-free ansatz state wave functions Quantum Physics Mathematical Physics
2011/10/9
Abstract: Schr\"odinger's equation (SE) and the information-optimizing principle based on Fisher's information measure (FIM) are intimately linked, which entails the existence of a Legendre transform ...
Experimental 3D Plasmonic Cloaking in Free Space
Experimental 3D Plasmonic Free Space Materials Science
2011/8/17
Abstract: We report the first experimental verification of a metamaterial cloak for a 3D object in free space. We apply the plasmonic cloaking technique, based on scattering cancellation, to suppress ...
Sharp asymptotics for Toeplitz determinants, fluctuations and the gaussian free field on a Riemann surface
Sharp asymptotics fluctuations the gaussian free Riemann surface
2011/7/26
Abstract: We consider canonical determinantal point processes with N particles on a compact Riemann surface X defined with respect to the constant curvature metric and show that in the large N-limit t...
Quantum Free Yang-Mills on the Plane
Quantum Free free-probability quantum Yang-Mills theory Operator Algebras
2011/7/27
Abstract: We construct a free-probability quantum Yang-Mills theory on the two dimensional plane, determine the Wilson loop expectation values, and show that this theory is the $N=\infty$ limit of U(N...
We derive a holographic dual description of free quantum field theory in arbitrary dimensions, by reinterpreting the exact renormalization group, to obtain a higher spin gravity theory of the general ...
A Note on Non-equilibrium Work Fluctuations and Equilibrium Free Energies
Classical Statistical Mechanics Thermodynamics Non-equilibrium and Irreversible Thermodynamics
2010/11/24
We consider in this paper, a few important issues in non-equilibrium work fluctuations and
their relations to equilibrium free energies. First we show that Jarzynski identity can be viewed as a cumul...
Free Fock space and functional calculus approach to the n-point information about the "Universe"
Free Fock space functional calculus the n-point information
2010/11/16
Starting from a differential equation for the unique field, the equation for the generating vector |V> of the n-point information (correlation and smeared functions) in the free Fock space is derived...
Higher-order Kerr terms allow ionization-free filamentation in gases
Higher-order Kerr ionization-free filamentation gases
2010/11/16
We show that higher-order nonlinear indices ($n_4$, $n_6$, $n_8$, $n_{10}$) provide the main defocusing contribution to self-channeling of ultrashort laser pulses in air and Argon at 800 nm, in contr...
Note on "A note on "Loophole-free Bell test for continuous variables via wave and particle correlations""
A note on continuous variables via wave particle correlations
2010/11/9
In a recent note, Cavalcanti and Scarani (CS) constructed a counter local-hidden-variable model to explain the violation of our inequalities in Phys. Rev. Lett. 105, 170404 (2010). All such models ar...
Klein tunneling in carbon nanostructures: a free particle dynamics in disguise
Klein tunneling carbon nanostructures particle dynamics disguise
2010/11/9
The absence of backscattering in metallic nanotubes as well as perfect Klein tunneling in the potential barriers in graphene are explained by showing that both phenomena have a free particle dynamics...
Proposal of a two-qutrit contextuality test free of the finite precision and compatibility loopholes
two-qutrit contextuality finite precision compatibility loopholes
2010/10/19
It has been argued that any test of quantum contextuality is nullified by the fact that perfect
orthogonality and perfect compatibility cannot be achieved in finite precision experiments. We in-trodu...
Unsteady Free Convection Flow with Thermal Radiation Past a Vertical Porous Plate with Newtonian Heating
Boundary layer Incompressible Optically thin thermally radiating fluid Unsteady free convection flow
2010/4/8
This paper considers exact solutions of unsteady free convection flow with thermal radiation past a vertical porous plate with Newtonian heating. The technique of Laplace transform was employed in der...