The low-frequency second-order singularity is found in the permittivity of isotropic and homogeneous model system of charged particles consisting of electrons and boson nuclei. This singularity is caused by the existence ...

Numerous examples of functional relations for multiple polylogarithms are known. For elliptic polylogarithms, however, tools for the exploration of functional relations are available, but only very few relations are ...

We construct a physically parameterized probabilistic autoencoder (PAE) to learn the intrinsic diversity of Type Ia supernovae (SNe Ia) from a sparse set of spectral time series. The PAE is a two-stage generative model, ...

We study the Lie group structure of asymptotic symmetry groups in general relativity from the viewpoint of infinite-dimensional geometry. To this end, we review the geometric definition of asymptotic simplicity and emptiness ...

We review applications of the Fokker–Planck equation for the description of systems with event trains in computational and cognitive neuroscience. The most prominent example is the spike trains generated by integrate-and-fire ...

We present an analytical model based on the time-dependentWKB approximation to reproduce the photoionization spectra of anH2 molecule in the autoionization region.Weexplore the nondissociative channel, which is the major ...

The string corrections of tree-level open-string amplitudes can be described by Selberg integrals satisfying a Knizhnik–Zamolodchikov (KZ) equation. This allows for a recursion of the α'-expansion of tree-level string ...

To fully unlock the potential of metal halide perovskites (MHPs) for use in optoelectronic devices, a comprehensive understanding of their electronic properties is in strong demand but presently lacking. This photoelectron ...

Modeling complex systems with large numbers of degrees of freedom has become a grand challenge over the past decades. In many situations, only a few variables are actually observed in terms of measured time series, while ...

This article derives and presents the Feynman rules for (effective) quantum general relativity coupled to the standard model for any vertex valence and with general gauge parameter ζ. The results are worked out for the ...