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A filament is a high density, connected region in a point cloud. There are several methods for estimating filaments but these methods do not provide any measure of uncertainty. We give a definition for the uncertainty of estimated filaments…

Methodology · Statistics 2013-12-10 Yen-Chi Chen , Christopher R. Genovese , Larry Wasserman

We present the Multiscale non-Gaussian Segmentation (MnGSeg) analysis technique. This wavelet based method combines the analysis of the probability distribution function (PDF) of map fluctuations as a function of spatial scales and the…

Astrophysics of Galaxies · Physics 2019-08-07 J. -F. Robitaille , F. Motte , N. Schneider , D. Elia , S. Bontemps

The microstructure of coagulated colloidal particles, for which the inter-particle potential is described by the DLVO theory, is strongly influenced by the particles' surface potential. Depending on its value, the resulting microstructures…

Soft Condensed Matter · Physics 2009-11-09 Iwan Schenker , Frank T. Filser , Tomaso Aste , Hans J. Herrmann , Ludwig J. Gauckler

The polarization spectrum, or wavelength dependence of the polarization fraction, of interstellar dust emission provides important insights into the grain alignment mechanism of interstellar dust grains. We investigate the far-infrared…

Wood-composite materials are widely used today as they homogenize humidity related directional deformations. Quantification of these deformations as coefficients is important for construction and engineering and topic of current research…

Computer Vision and Pattern Recognition · Computer Science 2018-02-14 Markus Hofinger , Thomas Pock , Thomas Moosbrugger

An analytic model for steady state turbulence is employed to obtain the inertial range power spectrum of compressible turbulence. We assume that for homogeneous turbulence, the timescales controlling the energy injected at a given…

Fluid Dynamics · Physics 2021-08-11 Itzhak Goldman

We clarify the meaning of spatial densities of hadrons. A physical density is given by the expectation value of a local operator for a physical state, and depends on both internal structure and the hadron's wave packet. In some particular…

High Energy Physics - Phenomenology · Physics 2023-07-26 Adam Freese , Gerald A. Miller

Electromagnetic properties depend on the composition of materials, i.e. either angstrom scales of molecules or, for metamaterials, subwavelength periodic structures. Each material behaves differently in accordance with the frequency of an…

Subdiffusive behavior of one-dimensional stochastic systems can be described by time-subordinated Langevin equations. The corresponding probability density satisfies the time-fractional Fokker-Planck equations. In the homogeneous systems…

Statistical Mechanics · Physics 2015-07-01 Rytis Kazakevicius , Julius Ruseckas

The energy density spectrum is an observable of gravitational waves. Divergence has appeared in the energy density spectra of the scalar induced gravitational waves for different gauge fixings. To resolve the discrepancy, we investigate the…

General Relativity and Quantum Cosmology · Physics 2020-10-06 Zhe Chang , Sai Wang , Qing-Hua Zhu

Process of the nonlinear deformation of the shallow water wave in a basin of constant depth is studied. The characteristics of the first breaking are analyzed in details. The Fourier spectrum and steepness of the nonlinear wave is…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 Narcisse Zahibo , Irina Didenkulova , Andrey Kurkin , Efim Pelinovsky

Turbulent dynamics generate random fluctuations in density and velocity in the Interstellar Medium (ISM) of spiral and dwarf galaxies. Observationally, H~{\sc i} 21-cm radiation provides a good probe of these stochastic processes and helps…

Astrophysics of Galaxies · Physics 2018-05-30 Meera Nandakumar

Passive transformation of waves via nonlinear systems is ubiquitous in settings ranging from acoustics to optics and electromagnetics. Passivity is of particular importance for responding rapidly to stimuli and nonlinearity enormously…

Materials Science · Physics 2024-07-02 Brianna MacNider , Haning Xiu , Kai Qian , Ian Frankel , Hyunsun Alicia Kim , Nicholas Boechler

We report experiments on gravity-capillary wave turbulence on the surface of a fluid. The wave amplitudes are measured simultaneously in time and space using an optical method. The full space-time power spectrum shows that the wave energy…

Fluid Dynamics · Physics 2010-10-01 Eric Herbert , Nicolas Mordant , Eric Falcon

The dynamic range is an important parameter which measures the spread of sound power, and for music signals it is a measure of recording quality. There are various descriptive measures of sound power, none of which has strong statistical…

Applications · Statistics 2018-02-15 Pietro Coretto , Francesco Giordano

Density waves are characteristic for fluidized beds and affect measurements on liquid-like dynamics in fluidized granular media. Here, the intensity autocorrelation function as obtainable with diffusing-wave spectroscopy is derived in the…

Soft Condensed Matter · Physics 2016-09-12 Philip Born , Steffen Reinhold , Matthias Sperl

Total absorption, defined as the net flux of energy out of a bounded region averaged over one cycle for time harmonic motion, must be non-negative when there are no sources of energy within the region. This passivity condition places…

Classical Physics · Physics 2017-04-05 Andrew N. Norris

A geometrical interpretation of the $G$-structures associated to elastic material bodies is given. In addition, characterizations of their integrability are obtained. Since the lack of integrability is a geometrical measure of the lack of…

Differential Geometry · Mathematics 2007-05-23 David Marin , Manuel de Leon

Emission spectroscopy is an invaluable tool for probing the atmospheres of brown dwarfs and exoplanets, but interpretations based on flux spectra alone often suffer from degeneracies among temperature structure, chemical composition, and…

Earth and Planetary Astrophysics · Physics 2025-12-16 Fei Wang , Yuka Fujii , Ben Burningham , Jinping He

Identification of a transient gravitational-wave signal embedded into non-stationary noise requires the analysis of time-dependent spectral components in the resulting time series. The time-frequency distribution of the signal power can be…

Data Analysis, Statistics and Probability · Physics 2022-01-05 Sergey Klimenko