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Dynamical spectral estimation is a well-established numerical approach for estimating eigenvalues and eigenfunctions of the Markov transition operator from trajectory data. Although the approach has been widely applied in biomolecular…

Numerical Analysis · Mathematics 2023-10-03 Robert J. Webber , Erik H. Thiede , Douglas Dow , Aaron R. Dinner , Jonathan Weare

In this thesis, we used dynamical systems analysis to find the qualitative behaviour of some dark energy models. Specifically, dynamical systems analysis of quintessence scalar field models, chameleon scalar field models and holographic…

General Relativity and Quantum Cosmology · Physics 2015-11-26 Nandan Roy

Blazars are known to emit a broad band emission from radio to gamma-rays with rapid time variations, particularly, in X- and gamma-rays. Synchrotron radiation and inverse Compton scattering are thought to play an important role in emission…

Astrophysics · Physics 2009-10-31 M. Kusunose , F. Takahara , H. Li

We study stationary points of the bending energy of curves $\gamma\colon[a,b]\to\mathbb{R}^n$ subject to constraints on the arc-length and the curve's holonomy while simultaneously allowing for a variable bending stiffness along the…

Differential Geometry · Mathematics 2025-08-05 Oliver Gross , Ulrich Pinkall , Moritz Wahl

The paper presents an analysis of the possible spectra manipulation and its consequence for the specific application of XCT. The focus was on the modification of the registered spectra dominantly by the sewing/stitching method. A model…

Atomic Physics · Physics 2024-06-04 A. J. Arikkat , K. A. Janulewicz , C. M. Kim , P. Wachulak

In a recent paper we have calculated the power density spectrum of Gamma-Ray Bursts arising from multiple shocks in a relativistic wind. The wind optical thickness is one of the factors to which the power spectrum is most sensitive,…

Astrophysics · Physics 2009-10-31 M. Spada , A. Panaitescu , P. Meszaros

Large differences between the properties of the known sample of cataclysmic variable stars (CVs) and the predictions of the theory of binary star evolution have long been recognised. However, because all existing CV samples suffer from…

Astrophysics · Physics 2008-11-26 Magaretha L. Pretorius , Christian Knigge , Ulrich Kolb

Inhibiting a signalling pathway concerns controlling the cellular processes of a cancer cell's viability, cell division, and death. Assay protocols created to see if the molecular structures of the drugs being tested have the desired…

Quantitative Methods · Quantitative Biology 2022-07-19 Roumen Anguelov , G Manjunath , Avulundiah E Phiri , Trevor T Nyakudya , Priyesh Bipath , June C Serem , Yvette N Hlophe

In environmental sciences, it is often of interest to assess whether the dependence between extreme measurements has changed during the observation period. The aim of this work is to propose a statistical test that is particularly sensitive…

Methodology · Statistics 2015-05-06 Axel Bücher , Paul Kinsvater , Ivan Kojadinovic

It has been shown that for the analysis of X-ray spectra the C-statistic, contrary to the chi^2-statistic, provides unbiased estimates of the model parameters and their uncertainty ranges. However, it is often stated that the C-statistic…

High Energy Astrophysical Phenomena · Physics 2017-09-13 J. S. Kaastra

We propose a new approach towards determining the distribution of mechanical and acoustic wave energy in complex built-up structures. The technique interpolates between standard Statistical Energy Analysis (SEA) and full ray tracing…

Chaotic Dynamics · Physics 2009-11-13 Gregor Tanner

I review the theoretical motivation for varying fundamental couplings and discuss how these measurements can be used to constrain a number of fundamental physics scenarios that would otherwise be inacessible to experiment. As a case study I…

Astrophysics · Physics 2015-06-24 C. J. A. P. Martins

Chemical reactions involve the movement of charges, and this work presents a mathematical model for describing chemical reactions in electrolytes. The model is developed using an energy variational method that aligns with classical…

Chemical Physics · Physics 2023-11-02 Shixin Xu , Robert Eisenberg , Zilong Song , Huaxiong Huang

We analyze a microscopic RNA model, which includes two widely used models as limiting cases, namely it contains terms for bond as well as for stacking energies. We numerically investigate possible changes in the qualitative and quantitative…

Quantitative Methods · Quantitative Biology 2009-11-10 Bernd Burghardt , Alexander K. Hartmann

A variational approach for the free energy is used to study the three-dimensional anisotropic XY model in the presence of a crystal field. The magnetization and the phase diagrams as a function of the parameters of the Hamiltonian are…

Statistical Mechanics · Physics 2009-11-11 L. M. Castro , A. S. T. Pires , J. A. Plascak

Pulsar dynamic spectra exhibit high visibility fringes arising from interference between scattered radio waves. These fringes may be random or highly ordered patterns, depending on the nature of the scattering or refraction. Here we…

Astrophysics · Physics 2009-11-10 Mark Walker , Dan Stinebring

We analyze an approach aiming at determining statistical properties of spectra of time-periodic quantum chaotic system based on the parameter dynamics of their quasienergies. In particular we show that application of the methods of…

Chaotic Dynamics · Physics 2015-06-26 Miroslaw Hardej , Marek Kus , Cezary Gonera , Piotr Kosinski

I review the operational capabilities of the Chandra X-ray Observatory, including some of the spectacular results obtained by the general observer community. A natural theme of this talk is that Chandra is revealing outflows of great…

Astrophysics · Physics 2009-11-10 Daniel A. Schwartz

It is well-known that the dynamical spectrum of an ergodic measure dynamical system is related to the diffraction measure of a typical element of the system. This situation includes ergodic subshifts from symbolic dynamics as well as…

Dynamical Systems · Mathematics 2015-09-23 Michael Baake , Daniel Lenz , Aernout van Enter

We calculate the time dependent electron distribution under the assumption of continuous injection of new relativistic particles, and assuming radiative cooling (by sinchrotron and inverse Compton) and particle escape. Resulting photon…

Astrophysics · Physics 2007-05-23 Marco Chiaberge , Gabriele Ghisellini