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Index of proportionality of atomic weights of chemical elements is proposed for determining the relative age of minerals and rocks. Their chemical analysis results serve to be initial data for calculations. For rocks of different…

Geophysics · Physics 2012-12-13 Mikhail M. Labushev , Alexander N. Khokhlov

Information Theory provides a fundamental basis for analysis, and for a variety of subsequent methodological approaches, in relation to uncertainty quantification. The transversal character of concepts and derived results justifies its…

Statistics Theory · Mathematics 2024-11-27 Jose M. Angulo , Francisco J. Esquivel , Ana E. Madrid , Francisco J. Alonso

Information theory is an excellent framework for analyzing Earth system data because it allows us to characterize uncertainty and redundancy, and is universally interpretable. However, accurately estimating information content is…

Applications · Statistics 2024-10-30 J. Emmanuel Johnson , Valero Laparra , Maria Piles , Gustau Camps-Valls

Detection of extensive air showers with radio antennas is an appealing technique in cosmic ray physics. However, because of the high level of measurement noise, current reconstruction methods still leave room for improvement. Furthermore,…

Instrumentation and Methods for Astrophysics · Physics 2025-07-16 Simon Strähnz , Tim Huege , Torsten Enßlin , Karen Terveer , Anna Nelles

Coherence times of electron spins bound to phosphorus donors have been measured, using a standard Hahn echo technique, to be up to 20 ms in isotopically pure silicon with [P]$ = 10^{14}$ cm$^{-3}$ and at temperatures $\leq 4 $K. Although…

Mesoscale and Nanoscale Physics · Physics 2020-12-29 Philipp Ross , Brendon C. Rose , Cheuk C. Lo , Mike L. W. Thewalt , Alexei M. Tyryshkin , Stephen A. Lyon , John J. L. Morton

Particle showers in dielectric media produce radio signals which are used for the detection of both ultra-high energy cosmic rays and neutrinos with energies above a few PeV. The amplitude, polarization, and spectrum of these short,…

High Energy Astrophysical Phenomena · Physics 2021-05-05 Christoph Welling , Philipp Frank , Torsten A. Enßlin , Anna Nelles

In this paper, we demonstrate the importance of embedding temporal information for an accurate prediction of solar irradiance. We have used two sets of models for forecasting solar irradiance. The first one uses only time series data of…

Solar and Stellar Astrophysics · Physics 2021-10-20 T. A. Fathima , Vasudevan Nedumpozhimana , Yee Hui Lee , Soumyabrata Dev

The search for life on extrasolar planets is based on the assumption that one can screen extrasolar planets for habitability spectroscopically. The first space born instruments able to detect as well as characterize extrasolar planets,…

Astrophysics · Physics 2011-03-17 L. Kaltenegger , K. Jucks , W. Traub

The collection of ecological data in the field is essential to diagnose, monitor and manage ecosystems in a sustainable way. Since acquisition of this information through traditional methods are generally time-consuming, due to the…

Computer Vision and Pattern Recognition · Computer Science 2024-01-12 Ion Ciobotari , Adriana Príncipe , Maria Alexandra Oliveira , João Nuno Silva

Shannon based his information theory on the notion of probability measures as it we developed by Kolmogorov. In this paper we study some fundamental problems in information theory based on expectation measures. In the theory of expectation…

Information Theory · Computer Science 2025-01-30 Peter Harremoës

A review is given on some recent developments in the theory of the Ising model in a random field. This model is a good representation of a large number of impure materials. After a short repetition of earlier arguments, which prove the…

Statistical Mechanics · Physics 2008-02-03 T. Nattermann

The width of a resonance in a nearly integrable system, i.e. in a non-integrable system where chaotic motion is still not prominent, can tell us how a perturbation parameter is driving the system away from integrability. Although the tool…

General Relativity and Quantum Cosmology · Physics 2025-04-08 Ondřej Zelenka , Ondřej Kopáček , Georgios Lukes-Gerakopoulos

Among several heliophysical and geophysical quantities, the accurate evolution of the solar irradiance is fundamental to forecast the evolution of the neutral and ionized components of the Earth's atmosphere.We developed an artificial…

Solar and Stellar Astrophysics · Physics 2011-11-23 Luis Eduardo A. Vieira , Thierry Dudok de Wit , Matthieu Kretzschmar

We propose Radiation Exposure Theory (RET), a mathematical framework to estimate biological damage caused by irradiation. This is an extension of LDM model which was proposed in the paper [Y. Manabe et al.: J. Phys. Soc. Jpn. 81,…

Biological Physics · Physics 2014-11-18 Yuichiro Manabe , Masako Bando

We present unified chemical and spectrophotometric evolutionary synthesis models that allow to describe composite stellar populations in a chemically consistent way. Keeping track of the ISM abundance at birth of each star and using sets of…

Astrophysics · Physics 2020-05-27 U. Fritze-v. Alvensleben

Historical sciences like evolutionary biology reconstruct past events by using the traces that the past has bequeathed to the present. The Markov Chain Convergence Theorem and the Data Processing Inequality describe how the mutual…

Populations and Evolution · Quantitative Biology 2023-06-22 Elliott Sober , Mike Steel

The knowledge of stellar ages directly impacts the characterization of a planetary system as it puts strong constraints on the moment when the system was born. Unfortunately, the determination of precise stellar ages is a very difficult…

Solar and Stellar Astrophysics · Physics 2015-10-21 Savita Mathur

Because large-scale structure surveys may very well be the next leading sources of cosmological information, it is important to have a precise understanding of the cosmological observables; for this reason, the Effective Field Theory of…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-13 Matthew Lewandowski , Leonardo Senatore

In the 21st century, many of the crucial scientific and technical issues facing humanity can be understood as problems associated with understanding, modelling, and ultimately controlling complex systems: systems comprised of a large number…

Information Theory · Computer Science 2025-01-20 Thomas F. Varley

Time-series data is being increasingly collected and stud- ied in several areas such as neuroscience, climate science, transportation, and social media. Discovery of complex patterns of relationships between individual time-series, using…