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A recently developed wavelet based approach is employed to characterize the scaling behavior of spectral fluctuations of random matrix ensembles, as well as complex atomic systems. Our study clearly reveals anti-persistent behavior and…

Chaotic Dynamics · Physics 2009-11-11 P. Manimaran , Prasanta K. Panigrahi , P. Anantha Lakshmi

Spatial variables can be observed in many different forms, such as regularly sampled random fields (lattice data), point processes, and randomly sampled spatial processes. Joint analysis of such collections of observations is clearly…

Methodology · Statistics 2026-05-20 Jake P. Grainger , Tuomas A. Rajala , David J. Murrell , Sofia C. Olhede

Spectral measurements in the infrared (IR) optical range provide unique fingerprints of materials which are useful for material analysis, environmental sensing, and health diagnostics. Current IR spectroscopy techniques require the use of…

Quantum Physics · Physics 2016-02-05 Dmitry A. Kalashnikov , Anna V. Paterova , Sergei P. Kulik , Leonid A. Krivitsky

The program package SME (Spectroscopy Made Easy), designed to perform an analysis of stellar spectra using spectral fitting techniques, was updated due to adding new functions (isotopic and hyperfine splittins) in VALD and including grids…

Instrumentation and Methods for Astrophysics · Physics 2017-10-31 N. Piskunov , T. Ryabchikova , Yu. Pakhomov , T. Sitnova , S. Alexeeva , L. Mashonkina , T. Nordlander

Transmission through disordered samples can be controlled by illuminating a sample with waveforms corresponding to the eigenchannels of the transmission matrix. But can the TM be exploited to selectively excite quasi-normal modes and so…

Classical Physics · Physics 2018-11-21 Matthieu Davy , Azriel Z. Genack

Modern investigations of magnetic chemically peculiar stars reveal a variety of complex processes in their atmospheres. Realistic spectrum synthesis modelling of these objects has to take into account anomalous chemical composition, strong…

Astrophysics · Physics 2007-05-23 O. Kochukhov

Whether it be due to rapid rotation or binary interactions, deviations from spherical symmetry are common in massive stars. These deviations from spherical symmetry are known to cause non-uniform distributions of various parameters across…

Solar and Stellar Astrophysics · Physics 2022-08-03 Michael Abdul-Masih

Theoretical analysis of biological and artificial neural networks e.g. modelling of synaptic or weight matrices necessitate consideration of the generic real-asymmetric matrix ensembles, those with varying order of matrix elements e.g. a…

Disordered Systems and Neural Networks · Physics 2025-09-15 Ratul Dutta , Pragya Shukla

Spectral kernel methods are techniques for transforming data into a coordinate system that efficiently reveals the geometric structure - in particular, the "connectivity" - of the data. These methods depend on certain tuning parameters. We…

Methodology · Statistics 2008-11-04 Ann B. Lee , Larry Wasserman

In this paper we describe the FIT\textit{spec} code, a data mining tool for the automatic fitting of synthetic stellar spectra. The program uses a database of 27\,000 {\sc cmfgen} models of stellar atmospheres arranged in a six-dimensional…

Vectorial structured light with spatially varying amplitude, phase, and polarization is reshaping many areas of modern optics, including nonlinear optics, as diverse parametric processes can be used to explore interactions between such…

Spread-spectrum signals are increasingly adopted in fields including communications, testing of electronic systems, Electro-Magnetic Compatibility (EMC) enhancement, ultrasonic non-destructive testing. This paper considers the synthesis of…

Data Analysis, Statistics and Probability · Physics 2014-12-22 Sergio Callegari

Speckled illumination enhances widefield fluorescence microscopy by enabling optical sectioning and super resolution. In random illumination microscopy, sequences of speckled illumination patterns are used to excite fluorescent samples and…

Light scattering in disordered media has been studied extensively due to its prevalence in natural and artificial systems [1]. In the field of photonics most of the research has focused on understanding and mitigating the effects of…

Optics · Physics 2017-03-30 Brandon Redding , Seng Fatt Liew , Raktim Sarma

Statistics derived from the eigenvalues of sample covariance matrices are called spectral statistics, and they play a central role in multivariate testing. Although bootstrap methods are an established approach to approximating the laws of…

Methodology · Statistics 2019-02-21 Miles Lopes , Andrew Blandino , Alexander Aue

Space-time (ST) wave packets are propagation-invariant pulsed optical beams whose group velocity can be tuned in free space by tailoring their spatio-temporal spectral structure. To date, efforts on synthesizing ST wave packets have striven…

Optics · Physics 2021-03-03 Alyssa Allende Motz , Murat Yessenov , Ayman F. Abouraddy

In this paper we develop a method capable of modeling the space-time focusing of nondiffracting pulses. The new pulses can possess arbitrary peak velocities and, in addition to being resistant to diffraction, can have their peak intensities…

Optics · Physics 2016-10-19 Michel Zamboni-Rached , Ioannis M. Besieris

Spectral properties of Coupled Map Lattices are described. Conditions for the stability of spatially homogeneous chaotic solutions are derived using linear stability analysis. Global stability analysis results are also presented. The…

Chaotic Dynamics · Physics 2009-11-07 J. Jost , M. P. Joy

Spectral sampling is associated with the group of unitary transformations acting on matrices in much the same way that simple random sampling is associated with the symmetric group acting on vectors. This parallel extends to symmetric…

Statistics Theory · Mathematics 2013-06-07 E. Di Nardo , P. McCullagh , D. Senato

Broadband femtosecond-laser frequency combs are filtered to spectrographically resolvable frequency-mode spacing, and the limitations of using cavities for spectral filtering are considered. Data and theory are used to show implications to…

Quantum Physics · Physics 2009-11-13 D. A. Braje , M. S. Kirchner , S. Osterman , T. Fortier , S. A. Diddams