Results 71 to 80 of about 13,145 (245)
The ergodicity bias in the observed galaxy distribution
, 2010 The spatial distribution of galaxies we observed is subject to the given condition that we, human beings are sitting right in a galaxy-the Milky Way. Thus the ergodicity assumption is questionable in interpretation of the observed galaxy distribution ...
Jun Pan +3 more
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, 2023 This paper explores the relation between within-person and between-person research designs using the concept of ergodicity from statistical mechanics in physics.
Charles F. Geier +2 more
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Zeitschrift für anorganische und allgemeine Chemie, EarlyView.In this study, we have investigated possible predicted polymorphs of magnesium oxide (MgO) with respect to their thermodynamic and kinetic stability, as well as their electronic properties, focusing on the possibility of tuning the band gap of the material.
D. Zagorac +4 more
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British Journal of Mathematical and Statistical Psychology, EarlyView.Abstract Generalizability theory (G‐theory) defines a statistical framework for assessing measurement reliability by decomposing observed variance into meaningful components attributable to persons, facets, and error. Classic G‐theory assumes homoscedastic residual variances across measurement conditions, an assumption that is often violated in ...
Philippe Rast, Peter E. Clayson
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IEEE Journal of Selected Topics in Applied Earth Observations and Remote SensingThis study numerically investigates the spatial ergodicity of Doppler characteristics in polarimetric ocean radar scattering. The full Apel wave spectrum is employed to generate 2-D time-varying sea surfaces that involve all dominant large-scale gravity ...
Jianing Shao +5 more
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Dynamical quantum ergodicity from energy level statistics
Physical Review Research, 2023 Ergodic theory provides a rigorous mathematical description of chaos in classical dynamical systems, including a formal definition of the ergodic hierarchy. How ergodic dynamics is reflected in the energy levels and eigenstates of a quantum system is the
Amit Vikram, Victor Galitski
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Ergodic theorem, ergodic theory, and statistical mechanics [PDF]
Proceedings of the National Academy of Sciences, 2015 This perspective highlights the mean ergodic theorem established by John von Neumann and the pointwise ergodic theorem established by George Birkhoff, proofs of which were published nearly simultaneously in PNAS in 1931 and 1932. These theorems were of great significance both in mathematics and in statistical mechanics.
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Coefficients of ergodicity generated by non-symmetrical vector norms [PDF]
, 1988 Explicit forms for ergodicity coefficients are known in the cases when the l1-norm or the l∞-norm are used [1], [2]. The purpose of this paper is the calculation of the maximal value of the ergodicity coefficient for an arbitrary vector norm. Connections
Lešanovský, Antonín, Rhodius, Adolf
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Wave Tracing: Generalizing The Path Integral To Wave Optics
Computer Graphics Forum, EarlyView.Abstract Modeling the wave nature of light and the propagation and diffraction of electromagnetic fields is crucial for the accurate simulation of many phenomena, yet wave simulations are significantly more computationally complex than classical ray‐based models.
Shlomi Steinberg, Matt Pharr
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Robustness of quantum many-body scars in the presence of a Markovian bath
Communications PhysicsGeneric closed quantum many-body systems tend to thermalize, a phenomenon known as quantum ergodicity, where initial local information scrambles into the full space.
Xiang-Ping Jiang +5 more
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