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In this paper, we study lower tail probabilities of the height function $\mathfrak{h}(M,N)$ of the stochastic six-vertex model. We introduce a novel combinatorial approach to demonstrate that the tail probabilities…

Probability · Mathematics 2025-08-26 Sayan Das , Yuchen Liao , Matteo Mucciconi

We investigated the characteristics of the shallow decay phase in the early Xray afterglows of GRBs observed by Swift X-Ray Telescope (XRT) during the period of January 2005 to December 2006. We found that the intrinsic break time at the…

Astrophysics · Physics 2007-11-07 R. Sato , K. Ioka , K. Toma , T. Nakamura , J. Kataoka , N. Kawai , T. Takahashi

The prompt emission from gamma-ray bursts (GRBs) still requires a physical explanation. Studies of time-resolved GRB spectra, observed in the keV-MeV range, show that a hybrid model consisting of two components, a photospheric and a…

Astrophysics · Physics 2009-11-13 Milan Battelino , Felix Ryde , Nicola Omodei , Francesco Longo

This paper discusses Swift observations of the gamma-ray burst GRB 050315 (z=1.949) from 80 s to 10 days after the onset of the burst. The X-ray light curve displayed a steep early decay (t^-5) for ~200 s and several breaks. However, both…

Systematic effects on HI and Halpha long-slit observations make a measurement of the inner slope of the dark matter density distribution difficult to determine. Halos with constant density cores and ones with r^-1 profiles both appear…

Astrophysics · Physics 2007-05-23 R. A. Swaters , M. A. W. Verheijen , M. A. Bershady , D. R. Andersen

Continuous-time approximation of Stochastic Gradient Descent (SGD) is a crucial tool to study its escaping behaviors from stationary points. However, existing stochastic differential equation (SDE) models fail to fully capture these…

Machine Learning · Statistics 2025-06-04 Xiang Li , Zebang Shen , Liang Zhang , Niao He

Context: Before the launch of the Swift satellite, the majority of the gamma-ray burst (GRB) afterglows for which Ly-alpha was redshifted into the observable spectrum showed evidence for a damped Ly-alpha absorber. This small sample…

The complete high-resolution lightcurves of Swift GRB 080319B present an opportunity for detailed temporal analysis of the prompt optical emission. With a two-component distribution of initial Lorentz factors, we simulate the dynamical…

High Energy Astrophysical Phenomena · Physics 2015-06-17 Si-Yao Xu , Zhuo Li

There is no consensus on the emission mechanism of $\gamma$-ray bursts (GRBs). A synchrotron model can produce $\gamma$-ray spectra with the empirical Band function form, from a piece-wise two-power-law electron energy distribution (2EPLS).…

High Energy Astrophysical Phenomena · Physics 2019-09-06 Bruce Grossan , Pawan Kumar , George F. Smoot

We introduce the Accretion-Modulated Internal Shock model (AMIS) as a possible framework for explaining the observational properties of long gamma-ray burst (GRB) prompt emission. In this scenario, the envelope of the prompt light curve…

High Energy Astrophysical Phenomena · Physics 2026-03-12 R. Moradi , C. W. Wang , E. S. Yorgancioglu , S. N. Zhang

We present a high-energy spectral analysis of GRB 250129A, which was triggered by the Swift-BAT. The burst exhibits a complex, multi-peaked temporal structure characterized by two distinct emission episodes, with the main peak occurring…

High Energy Astrophysical Phenomena · Physics 2026-03-25 Ankur Ghosh , Tamador K. M. Aldowma , Soebur Razzaque

We study the characteristics of scattering processes at step edges on the surfaces of Strong Topological Insulators (STI), arising from restrictions imposed on the $S$-matrix \emph{solely} by time reversal symmetry and translational…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Rudro R. Biswas , Alexander V. Balatsky

Thanks to the rapid follow-up observations by \textit{Swift}/XRT, a good part of Gamma-Ray Bursts (GRBs) high latitude emission have been observed in X-ray band. Some of them even show a dropdown decay after this period, which strongly…

High Energy Astrophysical Phenomena · Physics 2025-01-09 Qian Xu , Dong-Jie Liu , Yuan-Chuan Zou

Most X-ray afterglows of gamma-ray bursts (GRBs) observed by the Swift satellite have a shallow decay phase t^{-1/2} in the first few hours. This is not predicted by the standard afterglow model and needs an explanation. We discuss that the…

Astrophysics · Physics 2009-11-11 Kunihito Ioka , Kenji Toma , Ryo Yamazaki , Takashi Nakamura

As a result of spherical kinematics, temporal evolution of received gamma-ray emission should demonstrate signatures of curvature from the emitting shell. Specifically, the shape of the pulse decay must bear a strict dependence on the…

Astrophysics · Physics 2009-11-06 Alicia M. Soderberg , Edward E. Fenimore

Super-hot looptop sources, detected in some large solar flares, are compact sources of HXR emission with spectra matching thermal electron populations exceeding 30 megakelvins. High observed emission measure, as well as inference of…

Solar and Stellar Astrophysics · Physics 2015-05-28 D. W. Longcope , S. E. Guidoni

Despite decades of investigations, the physical mechanism that powers the bright prompt $\gamma$-ray emission from gamma-ray bursts (GRBs) is still not identified. One important observational clue that remains not properly interpreted so…

High Energy Astrophysical Phenomena · Physics 2016-07-13 Z. Lucas Uhm , Bing Zhang

This article discusses modelling of the tail of a multivariate distribution function by means of a large deviation principle (LDP), and its application to the estimation of the probability of a multivariate extreme event from a sample of n…

Statistics Theory · Mathematics 2017-02-23 Cees de Valk

Super-massive black holes (SMBHs) spend most of their lifetime accreting at a rate well below the Eddington limit, manifesting themselves as low-luminosity active galactic nuclei (LLAGNs). The prevalence of a hot wind from LLAGNs is a…

High Energy Astrophysical Phenomena · Physics 2022-03-09 Fangzheng Shi , Bocheng Zhu , Zhiyuan Li , Feng Yuan

We present an analysis of early BAT and XRT data for 107 gamma--ray bursts (GRBs) observed by the Swift satellite. We use these data to examine the behaviour of the X-ray light curve and propose a classification scheme for GRBs based on…

Astrophysics · Physics 2008-11-26 P. T. O'Brien , R. Willingale