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Two dedicated asteroid rotation-period surveys have been carried out using data taken on January 6-9 and February 20-23 of 2014 by the Intermediate Palomar Transient Factory (iPTF) in the $R$~band with $\sim 20$-min cadence. The total…

Gravitational waves at suitable frequencies can resonantly interact with a binary system, inducing changes to its orbit. A stochastic gravitational-wave background causes the orbital elements of the binary to execute a classic random walk,…

广义相对论与量子宇宙学 · 物理学 2013-05-27 Lam Hui , Sean T. McWilliams , I-Sheng Yang

Parameter estimation of binary-black-hole merger events in gravitational-wave data relies on matched-filtering techniques, which, in turn, depend on accurate model waveforms. Here we characterize the systematic biases introduced in…

广义相对论与量子宇宙学 · 物理学 2013-05-08 Tyson B. Littenberg , John G. Baker , Alessandra Buonanno , Bernard J. Kelly

In this article, we show that the block size distribution function in the weighted planar stochastic lattice (WPSL), which is a multifractal and whose dual is a scale-free network, exhibits dynamic scaling. We verify it numerically using…

统计力学 · 物理学 2016-12-07 F. R. Dayeen , M. K. Hassan

We demonstrate for a generic pseudointegrable billiard that the number of periodic orbit families with length less than $l$ increases as $\pi b_0l^2/\langle a(l) \rangle$, where $b_0$ is a constant and $\langle a(l) \rangle$ is the average…

chao-dyn · 物理学 2009-10-28 Debabrata Biswas

For two-dimensional quantum billiards we derive the partial Weyl law, i.e. the average density of states, for a subset of eigenstates concentrating on an invariant region $\Gamma$ of phase space. The leading term is proportional to the area…

量子物理 · 物理学 2011-05-03 Arnd Bäcker , Roland Ketzmerick , Steffen Löck , Holger Schanz

Spurred by the influential work of Viola (Journal of Computing 2012), the past decade has witnessed an active line of research into the complexity of (approximately) sampling distributions, in contrast to the traditional focus on the…

计算复杂性 · 计算机科学 2024-02-28 Daniel M. Kane , Anthony Ostuni , Kewen Wu

We present a new high-resolution neutral atomic hydrogen (HI) survey of ring galaxies using the Australia Telescope Compact Array (ATCA). We target a sample of 24 ring galaxies from the Buta (1995) Southern Ring Galaxy Survey Catalogue in…

We study the length of cycles of random permutations drawn from the Mallows distribution. Under this distribution, the probability of a permutation $\pi \in \mathbb{S}_n$ is proportional to $q^{\textrm{inv}(\pi)}$ where $0<q\le 1$ and…

概率论 · 数学 2017-09-12 Alexey Gladkich , Ron Peled

We propose a new method of determining regional and city boundaries based on the Valeriepieris circle, the smallest circle containing a given fraction of the data. By varying the fraction in the circle we can map complex spatial data to a…

应用统计 · 统计学 2025-02-12 Rudy Arthur , Federico Botta

We constrain the distribution of merging compact binaries across the celestial sphere using the GWTC-3 catalog from the LIGO-Virgo-KAGRA Collaborations' (LVK) third observing run. With 63 confident detections from O3, we constrain the…

高能天体物理现象 · 物理学 2023-03-01 Reed Essick , Will M. Farr , Maya Fishbach , Daniel E. Holz , Erik Katsavounidis

The present work looks at semiautomatic rings with automatic addition and comparisons which are dense subrings of the real numbers and asks how these can be used to represent geometric objects such that certain operations and…

形式语言与自动机理论 · 计算机科学 2021-03-16 Ziyuan Gao , Sanjay Jain , Ji Qi , Philipp Schlicht , Frank Stephan , Jacob Tarr

Via joint analysis of a calibrated telescopic survey, which found scattering Kuiper Belt objects, and models of their expected orbital distribution, we measure the form of the scattering object's size distribution. Ruling out a single…

地球与行星天体物理 · 物理学 2013-02-01 C. Shankman , B. Gladman , N. Kaib , J. J. Kavelaars , J. -M. Petit

The Pitman-Yor process is a random discrete measure. The random weights or masses follow the two-parameter Poisson-Dirichlet distribution with parameters $0<\alpha<1, \theta>-\alpha$. The parameters $\alpha$ and $\theta$ correspond to the…

概率论 · 数学 2016-02-29 Shui Feng , Fuqing Gao , Youzhou Zhou

We study random composite structures considered up to symmetry that are sampled according to weights on the inner and outer structures. This model may be viewed as an unlabelled version of Gibbs partitions and encompasses multisets of…

组合数学 · 数学 2020-04-01 Benedikt Stufler

Let $\log^Cn\le d\le n/2$ for a sufficiently large constant $C>0$ and let $A_n$ denote the adjacency matrix of a uniform random $d$-regular directed graph on $n$ vertices. We prove that as $n$ tends to infinity, the empirical spectral…

概率论 · 数学 2017-08-09 Nicholas A. Cook

We argue that storage rings can be used for the detection of low-frequency gravitational-wave background. We explain the systematic shrinkage of the machine circumference of the storage ring of the SPring-8, observed by Takao and Shimada…

广义相对论与量子宇宙学 · 物理学 2021-03-31 A. N. Ivanov , A. P. Kobushkin , M. Wellenzohn

We use a homogeneous catalog of 42,000 main-sequence wide binaries identified by Gaia to measure the mass ratio distribution, p(q), of binaries with primary masses $0.1<M_1/M_{\odot}<2.5$, mass ratios $0.1 \lesssim q<1$, and separations…

太阳与恒星天体物理 · 物理学 2019-10-09 Kareem El-Badry , Hans-Walter Rix , Haijun Tian , Gaspard Duchêne , Maxwell Moe

Linear binary fragmentation of synthetic fractal-like agglomerates composed of spherical, equal-size, touching monomers is numerically investigated. Agglomerates of different morphologies are fragmented via random bond removal. The…

软凝聚态物质 · 物理学 2019-09-27 Y. Drossinos , A. D. Melas , M. Kostoglou , L. Isella

Physical studies of asteroids depend on an availability of lightcurve data. Targets that are easy to observe and analyse naturally have more data available, so their synodic periods are confirmed from multiple sources. Also, thanks to…

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