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We derive an asymptotic formula for entropy rate of a hidden Markov chain around a "weak Black Hole". We also discuss applications of the asymptotic formula to the asymptotic behaviors of certain channels.

Information Theory · Computer Science 2008-10-14 Guangyue Han , Brian Marcus

Compact algebraic equations are derived, which connect the binding energy and the asymptotic normalization constant (ANC) of a subthreshold bound state with the effective-range expansion of the corresponding partial wave. These relations…

Nuclear Theory · Physics 2010-04-06 Jean-Marc Sparenberg , Pierre Capel , Daniel Baye

The concern of the present work is the introduction of a very efficient Asymptotic Preserving scheme for the resolution of highly anisotropic diffusion equations. The characteristic features of this scheme are the uniform convergence with…

Numerical Analysis · Mathematics 2014-04-08 Pierre Degond , Alexei Lozinski , Jacek Narski , Claudia Negulescu

A conjunctive Boolean network (CBN) is a finite state dynamical system, whose variables take values from a binary set, and the value update rule for each variable is a Boolean function consisting only of logic AND operations. We investigate…

Dynamical Systems · Mathematics 2019-07-11 Xudong Chen , Zuguang Gao , Tamer Başar

We investigate one-dimensional families of diagonal forms, considering the evolution of the asymptotic formula and error term. We then discuss properties of the average asymptotic formula obtained. The subsequent second moment analysis…

Number Theory · Mathematics 2013-09-06 Sam Chow

Artificial Neural Networks (ANNs) implement a specific form of multi-variate extrapolation and will generate an output for any input pattern, even when there is no similar training pattern. Extrapolations are not necessarily to be trusted,…

Machine Learning · Statistics 2020-02-27 Neil A. Thacker , Carole J. Twining , Paul D. Tar , Scott Notley , Visvanathan Ramesh

Non-equilibrium systems are often characterized by the transport of some quantity at a macroscopic scale, such as, for instance, a current of particles through a wire. The Asymmetric Simple Exclusion Process (ASEP) is a paradigm for…

Statistical Mechanics · Physics 2013-05-30 Mieke Gorissen , Alexandre Lazarescu , Kirone Mallick , Carlo Vanderzande

Automated identification of protein conformational states from simulation of an ensemble of structures is a hard problem because it requires teaching a computer to recognize shapes. We adapt the naive Bayes classifier from the machine…

Computational Physics · Physics 2020-12-02 David M. Rogers

The evolution of single-particle strengths as the neutron-to-proton asymmetry changes informs us of the importance of short- and long-range correlations in nuclei and has therefore been extensively studied for the last two decades.…

Nuclear Theory · Physics 2023-10-24 Chloë Hebborn , Filomena M. Nunes , Amy E. Lovell

Because anomalous samples cannot be used for training, many anomaly detection and localization methods use pre-trained networks and non-parametric modeling to estimate encoded feature distribution. However, these methods neglect the impact…

Computer Vision and Pattern Recognition · Computer Science 2023-03-31 Jaehyeok Bae , Jae-Han Lee , Seyun Kim

Measurements of the dynamical correlations between neutral and charged kaons in central Pb-Pb collisions at $\sqrt{s_{NN}} = 2.76$ TeV by the ALICE Collaboration display anomalous behavior relative to conventional heavy-ion collision…

High Energy Physics - Phenomenology · Physics 2024-03-19 Joseph Kapusta , Scott Pratt , Mayank Singh

The artificial neural network approach is used for separation of signals from a single photon $\gamma$ and products of the $\pi^0,\eta, K^0_s$ meson neutral decay channels on the basis of the data from the CMS electromagnetic calorimeter…

High Energy Physics - Experiment · Physics 2010-02-03 D. V. Bandourin , N. B. Skachkov

Fluctuations in parameters that are typically treated as fixed play a crucial role in the behavior of complex systems. However, to date, we lack a general non-equilibrium thermodynamic treatment of such a complex system. In this Letter, to…

Statistical Mechanics · Physics 2026-03-31 Tuan Pham , Deepak Gupta

The elastic and alpha-production channels for the 6He+208Pb reaction are investigated at energies around the Coulomb barrier (E_{lab}=14, 16, 18, 22, and 27 MeV). The effect of the two-neutron transfer channels on the elastic scattering has…

Nuclear Theory · Physics 2014-11-21 J. P. Fernandez-Garcia , M. A. G. Alvarez , A. M. Moro , M. Rodriguez-Gallardo

Background: The triaxial and hexadecapole deformations of the K=0+ and K=2+ bands of 24Mg have been investigated by the inelastic scatterings of various probes, including electrons, protons, and alpha particles, for a prolonged time.…

Nuclear Theory · Physics 2020-10-19 Yoshiko Kanada-En'yo , Kazuyuki Ogata

We report on the possibility of describing the absorption and emission characteristics of an ensemble of silicon nanocrystals (NCs) with realistic distributions in the NC size, by the sum of the reponses of the single NCs. The individual NC…

Mesoscale and Nanoscale Physics · Physics 2013-06-13 Roberto Guerra , Francesco Cigarini , Stefano Ossicini

Using the multiphase transport (AMPT) model, we study the relative neutron density fluctuation and neutron-proton correlation in matter produced by Au+Au collisions at $\sqrt{s_\text{NN}} = $7.7-200 GeV. The rapidity, centrality, and energy…

Nuclear Theory · Physics 2022-12-13 Zuman Zhang , Ning Yu , Hongge Xu

For quantum meta-stable problems with three particles, the $^{6}$Be and $^{16}$Ne nuclei as two-proton ($2p$) emitters provide a testing field. Considering the complexity of many-body meta-stable systems, a tractable solver has been on…

Nuclear Theory · Physics 2025-02-19 Tomohiro Oishi , Masaaki Kimura

A new asymptotic theory is proposed for the peripheral sub- and above-barrier transfer $A$($x$, $y$)$B$ reaction within the three-body ($A$, $a$ and $y$) model, where $ x$= $y$ + $a$, $B$= $A$ + $a$ and $ a$ is a transferred particle. In…

Nuclear Theory · Physics 2019-09-04 R. Yarmukhamedov , K. I. Tursunmakhatov , N. Burtebayev

A longstanding discrepancy between measured and predicted beam-normal single-spin asymmetries $A_{n}$ in elastic electron scattering off $^{208}$Pb has challenged our understanding of two-photon exchange (TPE) in heavy nuclei. We report a…

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