5 citations
6 papers
On the degrees of freedom of spatially covariant vector field theory
Shu-Yu Li, Xian Gao
We investigate a class of spatially covariant vector field theories on a flat background, where the Lagrangians are constructed as polynomials of first-order derivatives of the vec…
Understanding Machine Learning Paradigms through the Lens of Statistical Thermodynamics: A tutorial
Star, Liu
This tutorial investigates the convergence of statistical mechanics and learning theory, elucidating the potential enhancements in machine learning methodologies through the integr…
Numerical simulations of strong-field processes in momentum space
Yan Xu, Xue-Bin Bian
The time-dependent Schrodinger equation (TDSE) is usually treated in real space in the textbook. However, it makes the numerical simulations of strong-field processes difficult due…
The three-state Potts model on the centered triangular lattice
Zhe Fu, Wenan Guo, Henk W. J. Blöte
We study phase transitions of the Potts model on the centered-triangular lattice with two types of couplings, namely between neighboring triangular sites, and between the c…
Special transitions in an O() loop model with an Ising-like constraint
Zhe Fu, Wenan Guo, Henk W. J. Blöte
We investigate the O() nonintersecting loop model on the square lattice under the constraint that the loops consist of ninety-degree bends only. The model is governed by the loo…
Global solutions for the generalized Boussinesq equation in low-order Sobolev spaces
Luiz Gustavo Farah, Hongwei Wang
We show that the Cauchy problem for the defocusing generalized Boussinesq equation , , on the real line is globally well-posed in…