Caltech scientists have found a fast and efficient way to add up large numbers of Feynman diagrams, the simple drawings ...

Raman spectroscopy is an optical technique that detects intrinsic vibrational, rotational and other low-frequency modes in molecules upon inelastic scattering of monochromatic light.

Traditional Feynman-diagram calculations also often use dimensional regularization, but normally the focus is just on the leading 1/ εn poles to carry out a renormalization programme.

A scattering transform defines a locally translation invariant representation which is stable to time-warping deformation. It extends MFCC representations by computing modulation spectrum coefficients ...

The mathematical analysis of wavelet scattering networks explains important properties of deep convolution networks for classification. A scattering representation of stationary processes incorporates ...

The Sea's Deep Scattering Layers The sound pulses of devices used to measure the depth of the ocean are often scattered by several "phantom bottoms" that rise by night and sink by day.

Soft X-ray absorption spectroscopy (XAS) and resonant inelastic X-ray scattering (RIXS) have been performed on several nickel-containing bioinorganic complexes. RIXS spectral features are shown to be ...

Inelastic neutron scattering, on the other hand, can provide information on the phonon scattering process throughout the entire BZ. (14) However, these techniques have limitations in terms of either ...

In these lectures we discuss some of the mathematical structures that appear when computing multi-loop Feynman integrals. We focus on a specific class of special functions, the so-called multiple ...