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Heat exchanged between an open quantum system and its environment exhibits fluctuations that carry crucial signatures of the underlying dynamics. Within the well-established two-point measurement scheme, we identify a 'heat operator,' whose…

When the climate system is forced, e.g. by emission of greenhouse gases, it responds on multiple time scales. As temperatures rise, feedback processes might intensify or weaken. Current methods to analyze feedback strength, however, do not…

Atmospheric and Oceanic Physics · Physics 2021-11-03 Robbin Bastiaansen , Henk A. Dijkstra , Anna S. von der Heydt

This paper presents the development of a new entropy-based feature selection method for identifying and quantifying impacts. Here, impacts are defined as statistically significant differences in spatio-temporal fields when comparing…

Applications · Statistics 2024-09-27 Jerry Watkins , Luca Bertagna , Graham Harper , Andrew Steyer , Irina Tezaur , Diana Bull

Phase transitions, characterized by abrupt shifts between macroscopic patterns of organization, are ubiquitous in complex systems. Despite considerable research in the physical and natural sciences, the empirical study of this phenomenon in…

Physics and Society · Physics 2023-11-15 Dan Braha

Tipping points (TPs) in the Earth system have been studied with growing interest and concern in recent years due to the potential risk of anthropogenic forcing causing abrupt, and possibly irreversible, climate transitions. Paleoclimate…

Atmospheric and Oceanic Physics · Physics 2022-06-15 Witold Bagniewski , Denis-Didier Rousseau , Michael Ghil

Using an intermediate complexity climate model (Planet Simulator), we investigate the so-called Snowball Earth transition. For certain values of the solar constant, the climate system allows two different stable states: one of them is the…

Atmospheric and Oceanic Physics · Physics 2019-06-05 Bálint Kaszás , Tímea Haszpra , Mátyás Herein

Determining accurately when regime and structural changes occur in various time-series data is critical in many social and natural sciences. We develop and show further the equivalence of two consistent estimation techniques in locating the…

Statistics Theory · Mathematics 2017-05-31 Fuqi Chen , Rogemar Mamon , Severien Nkurunziza

The quantification of the interannual component of variability in climatological time series is essential for the assessment and prediction of the El Ni\~{n}o - Southern Oscillation phenomenon. This is achieved by estimating the deviation…

Applications · Statistics 2025-11-14 Tommaso Proietti , Alessandro Giovannelli

Environmental conditions in various regions can have a severely negative impact on the longevity and durability of the civil engineering infrastructures. In 2018, a published paper used 1971 to 2010 NOAA data from the contiguous United…

Other Statistics · Statistics 2022-02-28 Tao Liao , Paul Kepley , Indraneel Kumar , Samuel Labi

We review recent developments in detecting and estimating multiple change-points in time series models with exogenous and endogenous regressors, panel data models, and factor models. This review differs from others in multiple ways: (1) it…

Econometrics · Economics 2025-07-31 Otilia Boldea , Alastair R. Hall

We present a quantitative statistical test for the presence of a crossover c0 in the Gutenberg-Richter distribution of earthquake seismic moments, separating the usual power law regime for seismic moments less than c0 from another faster…

Statistical Mechanics · Physics 2009-11-07 V. F. Pisarenko , D. Sornette

The equilibrium oxygen isotope fractionation factor between calcite and water (18{\alpha}calcite/H2O) is an important quantity in stable isotope geochemistry and allows in principle to infer temperature variations from carbonate {\delta}18O…

Changepoint methods have multiple uses in climatology, including stationary checks and record homogenization. There are still many open problems in the area, especially in the multiple changepoint setting, and statisticians are needed to…

Methodology · Statistics 2022-12-09 Robert B. Lund , Xueheng Shi

We consider the problem of change-point estimation of the instantaneous phase of an observed time series. Such change points, or phase shifts, can be markers of information transfer in complex systems; their analysis occurring in geology,…

Applications · Statistics 2014-01-17 William Marshall , Paul Marriott

Ecosystems often undergo abrupt regime shifts in response to gradual external changes. These shifts are theoretically understood as a regime switch between alternative stable states of the ecosystem dynamical response to smooth changes in…

Populations and Evolution · Quantitative Biology 2015-02-18 Jose A. Capitan , Jose A. Cuesta

Transition wavelengths and rates are given for E1, E2, M1, and M2 transitions between singlet and triplet S, P, D, and F states in heliumlike ions of astrophysical interest: carbon, nitrogen, oxygen, neon, silicon, and argon. All possible…

Astrophysics · Physics 2009-11-07 I. M. Savukov , W. R. Johnson , U. I. Safronova

An investigation of strongly interacting matter equation of state remains one of the major tasks of modern high energy nuclear physics for almost a quarter of century. The present work is my doctor of science thesis which contains my…

Nuclear Theory · Physics 2010-12-16 Kyrill A. Bugaev

Climate change is one of the key topics in climate science. However, previous research has predominantly concentrated on changes in mean values, and few research examines changes in Probability Distribution Function (PDF). In this study, a…

Atmospheric and Oceanic Physics · Physics 2023-05-30 Zhiang Xie , Dongwei Chen , Puxi Li

The multiconfiguration Dirac-Hartree-Fock (MCDHF) and relativistic configuration interaction (RCI) methods are used to provide excitation energies, radiative transition data, lifetimes, Lande g-factors, hyperfine interaction constants and…

The microscopic model in which nodes interacting with each other are statistical systems is introduced. The nodes conditions are connected with a string of distinct microscopic configurations and depend on external parameters (pressure and…

Statistical Mechanics · Physics 2007-05-23 V. Stepanov