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This paper is concerned with a characterization of the observability for a continuous-time hidden Markov model where the state evolves as a general continuous-time Markov process and the observation process is modeled as nonlinear function…

Probability · Mathematics 2020-02-25 Jin W. Kim , Prashant G. Mehta

Using polarization measurements in remote sensing and optical studies allows retrieving more information. We consider relationship between the reflection coefficients of plane and rough surfaces for linearly polarized waves. Certain…

Optics · Physics 2012-12-14 Yu. K. Shestopaloff

This study investigates the polarization characteristics of solitonic boson stars surrounded by a thin accretion disk. By comparing their polarization images with corresponding optical images, we find a positive correlation between the…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Xiao-Xiong Zeng , Chen-Yu Yang , Hao Yu , Ke-Jian He

The robustness of Bell's inequality (in CHSH form) violation by entangled state in the simultaneous presence of colored and white noise in the system is considered. A twophoton polarization state is modeled by twoparameter density matrix.…

Quantum Physics · Physics 2008-07-02 Ivan S. Dotsenko , Volodymyr G. Voronov

The principal aim of the present work is to explore limit theorems for small random perturbations of a planar impulsive dynamical system, where impulses occur at hitting times of a suitable switching surface, and are thus state-dependent.…

Probability · Mathematics 2026-05-13 Ashif Khan , Chetan D. Pahlajani

This paper introduces a notion of data informativity for stabilization tailored to continuous-time signals and systems. We establish results comparable to those known for discrete-time systems with sampled data. We justify that additional…

Optimization and Control · Mathematics 2024-06-14 Jaap Eising , Jorge Cortes

We present a detailed theoretical study of transverse exciton-polariton patterns in semiconductor quantum-well microcavities. These patterns are initiated by directional instabilities in the uniform pump-generated polariton field and are…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 M. H. Luk , Y. C. Tse , N. H. Kwong , P. T. Leung , Przemslaw Lewandowski , R. Binder , Stefan Schumacher

We propose a new technique for weak gravitational lensing in the radio band making use of polarization information. Since the orientation of a galaxy's polarized emission is both unaffected by lensing and is related to the galaxy's…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Michael L. Brown , Richard A. Battye

The optimization of the variance supplemented by a budget constraint and an asymmetric $\ell_1$ regularizer is carried out analytically by the replica method borrowed from the theory of disordered systems. The asymmetric regularizer allows…

Portfolio Management · Quantitative Finance 2018-07-16 Imre Kondor , Gábor Papp , Fabio Caccioli

We revisit the interface fluctuation problem for the $1$D Allen-Cahn equation perturbed by a small space-time white noise. We show that if the initial data is a standing wave solution to the deterministic equation, then under proper long…

Probability · Mathematics 2025-04-29 Weijun Xu , Wenhao Zhao , Shuhan Zhou

The paper describes the robust algorithm for linear time-invariant plants under parametric uncertainties, external disturbances and high-frequency noises in measurements. The proposed algorithm allows one to reduce the noise impact on the…

Systems and Control · Computer Science 2016-12-30 I. B. Furtat , A. N. Nekhoroshikh

A new network model is proposed to describe the $1/f^\alpha$ resistance noise in disordered materials for a wide range of $\alpha$ values ($0< \alpha < 2$). More precisely, we have considered the resistance fluctuations of a thin resistor…

Materials Science · Physics 2009-11-13 C. Pennetta , E. Alfinito , L. Reggiani

We consider a collection of self-driven apolar particles on a substrate that organize into an active nematic phase at sufficiently high density or low noise. Using the dynamical renormalization group, we systematically study the 2d…

Soft Condensed Matter · Physics 2018-02-07 Suraj Shankar , Sriram Ramaswamy , M. Cristina Marchetti

Photonic devices exhibiting all-optically reconfigurable polarization dependence with a large dynamic range would be highly attractive for active polarization control. Here, we report that strongly polarization-selective nonlinear…

Optics · Physics 2019-02-20 Dae Seok Han , Il-Min Lee , Kyung Hyun Park , Myeong Soo Kang

We expand on our previous study of the impact of atmospheric seeing on polarization cross-talk, and show how the formalism that was developed in that work can be applied to treat the case of spatial modulators of polarization. Beside…

Instrumentation and Methods for Astrophysics · Physics 2026-02-17 Roberto Casini , Alfred G. de Wijn

We consider several transitions between narrow lines that have an enhanced sensitivity to a possible variation of the fine structure constant, alpha. This enhancement may allow a search to be performed with an effective suppression of the…

Atomic Physics · Physics 2009-11-11 S. G. Karshenboim , A. Yu. Nevsky , E. J. Angstmann , V. A. Dzuba , V. V. Flambaum

Many fluctuating systems consist of macroscopic structures in addition to noisy signals. Thus, for this class of fluctuating systems, the scaling behaviors are very complicated. Such phenomena are quite commonly observed in Nature, ranging…

Statistical Mechanics · Physics 2007-05-23 Ning-Ning Pang , Hisen-Ching Kao , Wen-Jer Tzeng

The polarized Raman spectroscopy is capable of giving confirmation regarding the crystalline phase as well as the crystallographic orientation of the sample. In this context, apart from crystallographic x-ray and electron diffraction tools,…

Materials Science · Physics 2016-05-12 A. K. Sivadasan , S. Dhara

A stochastic model for intermittent fluctuations due to a super-position of uncorrelated Lorentzian pulses is presented. For constant pulse duration, this is shown to result in an exponential power spectral density for the stationary…

Plasma Physics · Physics 2017-03-08 O. E. Garcia , A. Theodorsen

Ellipsometry is a powerful and well-established optical technique used in the characterisation of materials. It works by combining the components of elliptically polarized light in order to draw information about the optical system. We…

Optics · Physics 2018-03-15 Manoel P. Araújo , Stefano De Leo , Gabriel G. Maia