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We review the density of states and related quantities of quasi one-dimensional disordered Peierls systems in which fluctuation effects of a backscattering potential play a crucial role. The low-energy behavior of non-interacting fermions…

Strongly Correlated Electrons · Physics 2017-09-27 Lorenz Bartosch

This paper presents a new approach to modelling wave propagation in random, linearly elastic materials, namely by means of Fourier integral operators (FIOs). The FIO representation of the solution to the equations of motion can be used to…

Analysis of PDEs · Mathematics 2021-09-09 Michael Oberguggenberger , Martin Schwarz

The point-spread function (PSF) of an adaptive optics (AO) system is often poorly known. This ignorance can lead to significant systematic errors in photometry. Since the degree of AO correction is sensitive to the observing conditions:…

Astrophysics · Physics 2010-11-11 Christopher D. Sheehy , Nate McCrady , James R. Graham

We investigate the performance of an analytic model of the 3D matter distribution, which combines perturbation theory with halo models, for weak-lensing configuration-space statistics. We compared our predictions for the weak-lensing…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-19 Patrick Valageas , Masanori Sato , Takahiro Nishimichi

The superstatistics concept is a useful statistical method to describe inhomogeneous complex systems for which a system parameter $\beta$ fluctuates on a large spatio-temporal scale. In this paper we analyze a measured time series of wind…

Statistical Mechanics · Physics 2010-12-22 Erik Van der Straeten , Christian Beck

The dynamics of swollen fractal networks (Rouse model) has been studied through computer simulations. The fluctuation-relaxation theorem was used instead of the usual Langevin approach to Brownian dynamics. We measured the equivalent of the…

Computational Physics · Physics 2014-07-30 Alvaro V. N. C. Teixeira , Pedro Licinio

The popular halo model predicts that the power spectrum of the galaxy fluctuations is simply the sum of the large scale linear halo-halo power spectrum and the weighted power spectrum of the halo profile. Previous studies have derived halo…

Astrophysics · Physics 2009-11-10 Adrian A. Collister , Ofer Lahav

We analyse deterministic diffusion in a simple, one-dimensional setting consisting of a family of four parameter dependent, chaotic maps defined over the real line. When iterated under these maps, a probability density function spreads out…

Chaotic Dynamics · Physics 2010-12-22 Georgie Knight , Rainer Klages

This paper considers the distribution of the mutual information of frequency-selective spatially-uncorrelated Rayleigh fading MIMO channels. Results are presented for OFDM-based spatial multiplexing. New exact closed-form expressions are…

Information Theory · Computer Science 2016-11-17 Matthew R. McKay , Peter J. Smith , Himal A. Suraweera , Iain B. Collings

We analyse the chaotic motion and its shape dependence in a piecewise linear map using Fujisaka's characteristic function method. The map is a generalization of the one introduced by R. Artuso. Exact expressions for diffusion coefficient…

Chaotic Dynamics · Physics 2009-11-07 S. Rajagopalan , M. Sabir

Non-line-of-sight (NLOS) imaging has recently attracted a lot of interest from the scientific community. The goal of this paper is to provide the basis for a comprehensive mathematical framework for NLOS imaging that is directly derived…

Optics · Physics 2020-06-03 Syed Azer Reza , Marco La Manna , Andreas Velten

We performed a fluctuation analysis of the Hubble Extremely Deep Field (XDF) at four optical wavelength bands and found large fluctuations that are significantly brighter than those expected for ordinary galaxies. Good cross-correlations…

Astrophysics of Galaxies · Physics 2019-08-07 Toshio Matsumoto , Kohji Tsumura

We present a novel method for estimation of the fiber orientation distribution (FOD) function based on diffusion-weighted Magnetic Resonance Imaging (D-MRI) data. We formulate the problem of FOD estimation as a regression problem through…

Applications · Statistics 2016-12-23 Hao Yan , Owen Carmichael , Debashis Paul , Jie Peng

Recently, a generalization of the double-Rayleigh with line-of-sight channel fading model taking into account shadowing of the line-of-sight component has been proposed. In this research, a closed-form analysis of the average bit error rate…

Information Theory · Computer Science 2022-06-23 Aleksey S. Gvozdarev

The Fisher-Snedecor $\mathcal{F}$ distribution has been recently proposed as a more accurate and mathematically tractable composite fading model than traditional established models in some practical cases. In this paper, we firstly derive…

Information Theory · Computer Science 2019-11-27 Hongyang Du , Jiayi Zhang , Kostas P. Peppas , Hui Zhao , Bo Ai , Xiaodan Zhang

Fractal behaviour, i.e. scale invariance in spatio-temporal dynamics, have been found to describe and model many systems in nature, in particular fluid mechanics and geophysical related geometrical objects, like the convective boundary…

Solar and Stellar Astrophysics · Physics 2018-09-19 S. de Franciscis , J. Pascual-Granado , J. C. Suárez , A. García Hernández , R. Garrido

This paper introduces a new approach to localize user devices located in non-line-of-sight (NLOS) areas using a passive, non-reconfigurable, and frequency-selective metasurface called metaprism. By analyzing the spatial filtering of…

Signal Processing · Electrical Eng. & Systems 2023-07-25 Marina Lotti , Giacomo Calesini , Davide Dardari

We investigate the performance of an analytic model of the 3D matter distribution, which combines perturbation theory with halo models, for weak-lensing statistics. We compare our predictions for the weak-lensing convergence power spectrum…

Cosmology and Nongalactic Astrophysics · Physics 2012-10-24 Patrick Valageas , Masanori Sato , Takahiro Nishimichi

This work considers a multicell Massive MIMO network with $L$ cells, each comprising a BS with $M$ antennas and $K$ single-antenna user equipments. Within this setting, we are interested in deriving approximations of the achievable rates in…

Information Theory · Computer Science 2018-11-29 Luca Sanguinetti , Abla Kammoun , Merouane Debbah

Based on the three-dimensional propagation characteristic under built-up scenarios, a height-dependent line-of-sight (LoS) probability model for air-to-ground (A2G) millimeter wave (mmWave) communications is proposed in this paper. With…

Signal Processing · Electrical Eng. & Systems 2021-09-07 Minghui Pang , Qiuming Zhu , Fei Bai , Zhuo Li , Hanpeng Li , Kai Mao , Yue Tian