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In spatial statistics, point processes are often assumed to be isotropic meaning that their distribution is invariant under rotations. Statistical tests for the null hypothesis of isotropy found in the literature are based either on…

Methodology · Statistics 2024-04-17 Chiara Fend , Claudia Redenbach

We study the field concentration phenomenon between two closely spaced perfect conductors with imperfect bonding interfaces of low conductivity type. The boundary condition on these interfaces is given by a Robin-type boundary condition. We…

Analysis of PDEs · Mathematics 2024-11-07 Hongjie Dong , Zhuolun Yang , Hanye Zhu

We compare the field-field g(1)(\tau), intensity-field g(3/2)(\tau), and intensity-intensity g(2)(\tau) correlation functions for models that are of relevance in astrophysics. We obtain expressions for the general case of a chaotic…

We analyze the thermal conductivity of anisotropic and frustrated spin-1/2 chains using analytical and numerical techniques. This includes mean-field theory based on the Jordan-Wigner transformation, bosonization, and exact diagonalization…

Strongly Correlated Electrons · Physics 2009-11-07 F. Heidrich-Meisner , A. Honecker , D. C. Cabra , W. Brenig

We are concerned with the quantitative study of the electric field perturbation due to the presence of an inhomogeneous conductive rod embedded in a homogenous conductivity. We sharply quantify the dependence of the perturbed electric field…

Analysis of PDEs · Mathematics 2020-09-09 Xiaoping Fang , Youjun Deng , Hongyu Liu

We present a robust algorithm for the computation of electromagnetic fields radiated by point sources (Hertzian dipoles) in cylindrically stratified media where each layer may exhibit material properties (permittivity, permeability, and…

Numerical Analysis · Mathematics 2016-09-21 H. Moon , B. Donderici , F. L. Teixeira

We devise a three-parameter random search strategy to obtain accurate estimates of the large-coupling amplitude and exponent of an observable from its divergent Taylor expansion, known to some desired order. The endeavor exploits the power…

Computational Physics · Physics 2019-11-14 Sharmistha Dhatt , Kamal Bhattacharyya

This paper developed an inference problem for Vasicek model driven by a general Gaussian process. We construct a least squares estimator and a moment estimator for the drift parameters of the Vasicek model, and we prove the consistency and…

Statistics Theory · Mathematics 2020-09-25 Xingzhi Pei

Ferromagnetic thin films with magnetic single-ion anisotropies are studied within the framework of Schwinger bosonization of a quantum Heisenberg model. Two alternative bosonizations are discussed. We show that qualitatively correct results…

Condensed Matter · Physics 2009-10-31 Carsten Timm , P. J. Jensen

We study the problem of parametric estimation for continuously observed stochastic processes driven by additive small fractional Brownian motion with Hurst index 0<H<1/2 and 1/2<H<1. Under some assumptions on the drift coefficient, we…

Statistics Theory · Mathematics 2022-01-04 Shohei Nakajima , Yasutaka Shimizu

Applicability of anisotropic flow measurement techniques and their extension for detectors with non-uniform azimuthal acceptance are discussed. Considering anisotropic flow measurement with two and three (mixed harmonic) azimuthal…

Nuclear Theory · Physics 2008-11-26 Ilya Selyuzhenkov , Sergei Voloshin

Large or very large spatial (and spatio-temporal) datasets have become common place in many environmental and climate studies. These data are often collected in non-Euclidean spaces (such as the planet Earth) and they often present…

Statistics Theory · Mathematics 2023-01-09 Mike Pereira , Nicolas Desassis , Denis Allard

We investigate the linear and nonlinear optical responses of dilute anisotropic networks using the Green's-function formalism (GFF)[Gu Y et al. 1999 Phys. Rev. B 59 12847]. For the different applied fields, numerical calculations indicate…

Soft Condensed Matter · Physics 2007-05-23 Y. Gu , K. W. Yu

In the literature different approaches have been proposed to compute the anisotropies of the astrophysical gravitational wave background. The different expressions derived, although starting from our work Cusin, Pitrou, Uzan, Phys.Rev.D96,…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-15 Cyril Pitrou , Giulia Cusin , Jean-Philippe Uzan

Faraday rotation of the polarization plane in magnetized thermal plasma provides one of the most efficient methods to deduce regular magnetic fields from radio astronomical observations. Since the Faraday rotation measure RM is proportional…

Astrophysics · Physics 2009-11-10 Rainer Beck , Anvar Shukurov , Dmitry Sokoloff , Richard Wielebinski

We consider Gaussian states of fermionic systems and study the action of the partial transposition on the density matrix. It is shown that, with a suitable choice of basis, these states are transformed into a linear combination of two…

Statistical Mechanics · Physics 2015-05-29 Viktor Eisler , Zoltan Zimboras

We obtain an elementary invariance principle for multi-dimensional Brownian sheet where the underlying random fields are not necessarily independent or stationary. Possible applications include unit-root tests for spatial as well as panel…

Probability · Mathematics 2019-10-08 Michael C. Tseng

In the course of analyzing the axiomatic principles on which statistical physics is based, the assumption of the limited correctness of the postulate that all allowable microstates of a closed system are equally probable was checked. This…

Optics · Physics 2017-06-05 Vladimir V. Savukov

Recent observations opened up a new window on the inflationary model building. As it was firstly reported by the WMAP data, there may be some indications of statistical anisotropy on the CMB map, although the statistical significance of…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-06 Razieh Emami

We interpret the setting for a Radon transform as a submanifold of the space of generalized functions, and compute its extrinsic curvature: it is the Hessian composed with the Radon transform.

Differential Geometry · Mathematics 2012-05-30 Peter W. Michor