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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The Minkowski problem in Gaussian probability space
高斯概率空间 闵可夫斯基问题 广义相对论
2023/5/6
The classical Minkowski problem, which asks for the characterization of surface area measure in Euclidean space with Lebesgue measure, largely motivated the development of elliptic PDEs throughout the...
Worm Algorithm for Continuous-Space Path Integral Monte Carlo Simulations
Integral monte carlo method the worm simulation lattice model the continuous spatial multibody system thermodynamics
2014/12/20
We present a new approach to path integral Monte Carlo (PIMC) simulations based on the worm algorithm, originally developed for lattice models and extended here to continuous-space many-body systems. ...
Worm algorithm and diagrammatic Monte Carlo: A new approach to continuous-space path integral Monte Carlo simulations
Worm algorithm quantum multibody system thermodynamic properties continuous space
2014/12/20
A detailed description is provided of a new worm algorithm, enabling the accurate computation of thermodynamic properties of quantum many-body systems in continuous space, at finite temperature. The a...
Physics professor researches double-layered plasmas to predict earth-damaging space weather
Physics professor researches space weather
2014/10/9
The National Science Foundation (NSF) is an independent federal agency that supports fundamental research and education across all fields of science and engineering. In fiscal year (FY) 2014, its budg...
A Second Order Finite Difference-Spectral Method for Space Fractional Diffusion Equation
A Second Order Finite Difference-Spectral Method Space Fractional Diffusion Equation
2012/8/7
A high order finite difference-spectral method is derived for solving space fractional diffusion equations, by combining the second order finite difference method in time and the spectral Galerkin met...
Characterisation of Low Frequency Gravitational Waves from Dual RF Coaxial-Cable Detector: Fractal Textured Dynamical 3-Space
Low Frequency Gravitational Waves Dual RF Coaxial-Cable Detector Fractal Textured Dynamical 3-Space
2012/5/17
Experiments have revealed that the Fresnel drag effect is not present in RF coaxial cables, contrary to a previous report. This enables a very sensitive, robust and compact detector, that is 1st order...
Quasi-plane waves for spin 1 field in Lobachevsky space and a generalized helicity operator
Quasi-plane waves spin 1 field Lobachevsky space generalized helicity operator Mathematical Physics
2012/5/9
Spin 1 particle is investigated in 3-dimensional curved space of constant negative curvature. An extended helicity operator is defined and the variables are separated in a tetrad-based 10-dimensional ...
Space-Efficient Approximation Scheme for Circular Earth Mover Distance
Space-Efficient Approximation Scheme Earth Mover Distance
2012/12/4
The Earth Mover Distance (EMD) between point sets A and B is the minimum cost of a bipartite matching between A and B. EMD is an important measure for estimating similarities between objects with quan...
People used to establish physical laws on the mathematical frame directly, without considering the existence of the No-Shape-Substance. We believe such physical laws are separated from their nature. S...
Dimension of the moduli space and Hamiltonian analysis of BF field theories
Index theorem moduli space Hamiltonian dynamics
2011/9/22
Abstract: By using the Atiyah-Singer theorem through some similarities with the instanton and the anti-instanton moduli spaces, the dimension of the moduli space for two and four-dimensional BF theori...
Relativistic Quantum and Classical Mechanics in the Hilbert Space
Relativistic Quantum Classical Mechanics the Hilbert Space
2011/8/18
Abstract: We present a formulation of relativistic classical and quantum mechanics in the Hilbert space with a linkage through the Ehrenfest quantization. We start with the covariant form of the Loren...
Observables for bound orbital motion in axially symmetric space-times
Observables axially symmetric space-times General Relativity and Quantum Cosmology
2011/10/10
Abstract: The periastron shift and the Lense-Thirring effect of bound orbital motion in a general axially symmetric space-time given by Pleba\'nski and Demia\'nski are analyzed. We also define a measu...
A vanishing theorem for operators in Fock space
non-relativistic quantum electrodynamics Fock space operator theoretic renormalization symmetry
2011/9/19
Abstract: We consider the bosonic Fock space over the Hilbert space of transversal vector fields in three dimensions. This space carries a canonical representation of the group of rotations. For a cer...
State-space solutions to the dynamic magnetoencephalography inverse problem using high performance computing
Magnetoencephalography source localization Kalman filter fixed interval smoother
2011/8/17
Abstract: Determining the magnitude and location of neural sources within the brain that are responsible for generating magnetoencephalography (MEG) signals measured on the surface of the head is a ch...
On the Existence of a Self-Similar Coarse Graining of a Self-Similar Space
self-similar set fractals dynamical system Cantor set coarse graining
2011/9/16
Abstract: A topological space homeomorphic to a self-similar space is demonstrated to be self-similar. There exists a self-similar space $S$ whose coarse graining is homeomorphic to $S$. The coarse gr...