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The roles played by decision factors in making complex subject are decisions are characterized by how these factors affect the overall decision. Evidence that partially matches a factor is evaluated, and then effective computational rules…

Artificial Intelligence · Computer Science 2013-04-15 Gerald Shao-Hung Liu

The burgeoning need to sequester anthropogenic CO$_2$ for climate mitigation and the need for energy sustenance leading upto enhanced geothermal energy production has made it incredibly critical to study potential earthquakes due to fluid…

Geophysics · Physics 2021-08-04 Saumik Dana , Birendra Jha

Using in a simple way the theory of non linear dynamical systems, we show that increasing climatic instabilities may be a qualitative warning sign for the occurrence of a nearby bifurcation, yielding a discontinuous and sudden climate…

Atmospheric and Oceanic Physics · Physics 2016-09-19 Francois Louchet

Two novel methods, one that is experimental and the other comprising a pair of theoretical types (one component that is mathematically rigorous and the other that is of frequency domain computational type), are being used in concert to…

General Physics · Physics 2014-02-14 Randall D. Peters , Michael A. Phillips

Earthquake aftershock identification is closely related to the question "Are aftershocks different from the rest of earthquakes?" We give a positive answer to this question and introduce a general statistical procedure for clustering…

Geophysics · Physics 2010-03-01 Ilya Zaliapin , Andrei Gabrielov , Vladimir Keilis-Borok , Henry Wong

The purpose of this article is threefold. First, it provides the reader with a few useful and efficient tools which should enable her/him to evaluate nontrivial determinants for the case such a determinant should appear in her/his research.…

Combinatorics · Mathematics 2007-05-23 Christian Krattenthaler

Recently, attempts have been made to take into account the fractal properties of seismicity when mapping the long-term rate of earthquakes. The paper touches upon the theoretical aspects of fractality and provides a critical analysis of its…

Geophysics · Physics 2019-05-08 G. M. Molchan

Asteroseismology is the determination of the interior structures of stars by using their oscillations as seismic waves. Simple explanations of the astrophysical background and some basic theoretical considerations needed in this rapidly…

Solar and Stellar Astrophysics · Physics 2015-06-05 Gerald Handler

Scaling analysis reveals striking regularities in earthquake occurrence. The time between any one earthquake and that following it is random, but it is described by the same universal-probability distribution for any spatial region and…

Condensed Matter · Physics 2009-11-10 Alvaro Corral

Prediction is a complex notion, and different predictors (such as people, computer programs, and probabilistic theories) can pursue very different goals. In this paper I will review some popular kinds of prediction and argue that the theory…

Machine Learning · Computer Science 2007-05-23 Vladimir Vovk

Ruptures of the largest earthquakes can last between a few seconds and several minutes. An early assessment of the final earthquake size is essential for early warning systems. However, it is still unclear when in the rupture history this…

Geophysics · Physics 2022-07-08 Jannes Münchmeyer , Ulf Leser , Frederik Tilmann

Forecasting events like civil unrest movements, disease outbreaks, financial market movements and government elections from open source indicators such as news feeds and social media streams is an important and challenging problem. From the…

Social and Information Networks · Computer Science 2016-08-26 Yue Ning , Sathappan Muthiah , Huzefa Rangwala , Naren Ramakrishnan

Stochastic models of point patterns in space and time are widely used to issue forecasts or assess risk, and often they affect societally relevant decisions. We adapt the concept of consistent scoring functions and proper scoring rules,…

Unfortunately, working scientists sometimes reflexively continue to use "buzz phrases" grounded in once prevalent paradigms that have been subsequently refuted. This can impede both earthquake research and hazard mitigation. Well-worn…

Geophysics · Physics 2012-07-23 Yan. Y. Kagan , David D. Jackson , Robert J. Geller

Statistical tests of earthquake predictions require a null hypothesis to model occasional chance successes. To define and quantify `chance success' is knotty. Some null hypotheses ascribe chance to the Earth: Seismicity is modeled as…

Applications · Statistics 2022-09-21 Brad Luen , Philip B. Stark

Probabilities in the multiverse can be calculated by assuming that we are typical representatives in a given reference class. But is this class well defined? What should be included in the ensemble in which we are supposed to be typical?…

High Energy Physics - Theory · Physics 2008-11-26 Jaume Garriga , Alexander Vilenkin

The idea of the global daily magnitude (GDM, unit designation is Mg) of earthquakes is introduced. The formula is given for calculating Mg from earthquake strength data, characterized by the classic magnitude M on the Richter scale. An…

Geophysics · Physics 2019-09-04 A. V. Guglielmi , B. I. Klain

In this paper we develop the theory of topological categories over a base category, that is, a theory of topological functors. Our notion of topological functor is similar to (but not the same) the existing notions in the literature (see…

Category Theory · Mathematics 2007-05-23 Eduardo J. Dubuc , Luis Español

Indications are presented for a significant connection between the relative motion of the planets and the appearance of energetic solar flares. Based on the records of the last four decades, the analysis highlights remarkable features and a…

Solar and Stellar Astrophysics · Physics 2021-08-25 Eleni Petrakou , Iasonas Topsis Giotis

Global climate change, extreme climate events, earthquakes and their accompanying natural disasters pose significant risks to humanity. Yet due to the nonlinear feedbacks, strategic interactions and complex structure of the Earth system,…

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