4 papers
Gauss--Hermite Quadrature for Gaussian-Mixture Entropy with an Action-Space Hermite Surrogate
Jae Wan Shim
Gaussian distributions are used to model uncertainty in signals and states, and Gaussian mixtures are often used when the underlying distribution is multimodal. Unlike a single Gau…
Parameter-Space Heat Flow, Gaussian Density Ratios, and Sharp Hermite Truncation Rates
Jae Wan Shim
We reinterpret the classical Hermite generating function as a Gaussian density ratio: relative to the unit Gaussian reference, it is the density ratio of a Gaussian with shifted me…
Conductive Heat Flux Driven by a Pressure Gradient in Non-Maxwellian Reference States
Jae Wan Shim
Standard Navier--Stokes--Fourier theory and Maxwellian-based Grad 13-moment closures yield no independent pressure-gradient driving of the conductive heat flux in an isothermal, si…
Entropy formula of N-body system
Jae Wan Shim
We prove a proposition that the entropy of the system composed of finite molecules of ideal gas is the -entropy or Havrda-Charvát-Tsallis entropy, which is also known as Tsa…