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random vector

Overview page. Subjects: Mathematics.

An ordered set of n random variables, often representing the outcomes of a repeated experiment. For example, if I throw a die four times the outcome of the experiment could be described by...

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Renormalization procedure for random tensor networks and the canonical tensor model

Naoki Sasakura and Yuki Sato.

in Progress of Theoretical and Experimental Physics

April 2015; p ublished online April 2015 .

Journal Article. Subjects: Particles and Fields. 8911 words.

We discuss a renormalization procedure for random tensor networks, and show that the corresponding renormalization-group flow is given by the Hamiltonian vector flow of the canonical tensor...

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Generalized Fokker–Planck equation

Melvin Lax, Wei Cai and Min Xu.

in Random Processes in Physics and Finance

October 2006; p ublished online January 2010 .

Chapter. Subjects: Mathematical and Statistical Physics. 10040 words.

Thermal noise and Gaussian noise sources combine to create a category of Markovian processes known as Fokker–Planck processes. This chapter discusses Fokker–Planck processes such as...

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Quantum Probability

Heinz-Peter Breuer and Francesco Petruccione.

in The Theory of Open Quantum Systems

January 2007; p ublished online January 2010 .

Chapter. Subjects: Mathematical and Statistical Physics. 13584 words.

This chapter develops the fundamental notions and concepts of the probabilistic and statistical interpretation of quantum mechanics. It begins with a brief review of the mathematical...

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Stochastic Dynamics In Hilbert Space

Heinz-Peter Breuer and Francesco Petruccione.

in The Theory of Open Quantum Systems

January 2007; p ublished online January 2010 .

Chapter. Subjects: Mathematical and Statistical Physics. 14262 words.

This chapter contains the foundations of the stochastic formulation of continuous measurements carried out on an open quantum system. It shows that the time evolution of the state vector,...

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A method to calculate gravitational accelerations within discrete localized regions in the Milky Way

Rain Kipper, Elmo Tempel and Peeter Tenjes.

in Monthly Notices of the Royal Astronomical Society

P ublished online September 2018 .

Journal Article. Subjects: Astronomy and Astrophysics. 5709 words.

ABSTRACT

We present a method to calculate gravitational potential gradients within regions containing few 10s of thousands stars with known phase space...

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The inflated radii of M dwarfs in the Pleiades

R J Jackson, Constantine P Deliyannis and R D Jeffries.

in Monthly Notices of the Royal Astronomical Society

P ublished online February 2018 .

Journal Article. Subjects: Astronomy and Astrophysics. 14453 words.

Abstract

Rotation periods obtained with the Kepler satellite have been combined with precise measurements of projected rotation velocity from the WIYN 3.5-m...

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Simulated ΛCDM analogues of the thin plane of satellites around the Andromeda galaxy are not kinematically coherent structures

Tobias Buck, Aaron A. Dutton and Andrea V. Macciò.

in Monthly Notices of the Royal Astronomical Society

P ublished online May 2016 .

Journal Article. Subjects: Astronomy and Astrophysics. 14363 words.

A large fraction of the dwarf satellites orbiting the Andromeda galaxy are surprisingly aligned in a thin, extended and apparently kinematically coherent planar structure. Such a structure...

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The shapes and alignments of the satellites of the Milky Way and Andromeda

Jason L. Sanders and N. Wyn Evans.

in Monthly Notices of the Royal Astronomical Society

P ublished online August 2017 .

Journal Article. Subjects: Astronomy and Astrophysics. 12479 words.

Abstract

We measure the intrinsic shapes and alignments of the dwarf spheroidal (dSph) galaxies of the Local Group. We find the dSphs of the Milky Way are...

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Hubble Tarantula Treasury Project – VI. Identification of pre-main-sequence stars using machine-learning techniques

Victor F Ksoll, Dimitrios A Gouliermis, Ralf S Klessen, Eva K Grebel, Elena Sabbi, Jay Anderson, Daniel J Lennon, Michele Cignoni, Guido de Marchi, Linda J Smith, Monica Tosi and Roeland P van der Marel.

in Monthly Notices of the Royal Astronomical Society

P ublished online May 2018 .

Journal Article. Subjects: Astronomy and Astrophysics. 18932 words.

ABSTRACT

The Hubble Tarantula Treasury Project (HTTP) has provided an unprecedented photometric coverage of the entire starburst region of 30 Doradus down to...

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Depolarisation and scattering entropy

S. R Cloude.

in Polarisation: Applications in Remote Sensing

October 2009; p ublished online February 2010 .

Chapter. Subjects: Astronomy and Astrophysics; Physics. 22658 words.

This chapter is concerned with stochastic or random effects in wave scattering. It introduces the important concept of the generalised scattering coherency matrix, and relates it to the...

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A new analysis of quasar polarization alignments

V. Pelgrims and J. R. Cudell.

in Monthly Notices of the Royal Astronomical Society

P ublished online June 2014 .

Journal Article. Subjects: Astronomy and Astrophysics. 7101 words.

We propose a new method to analyse the alignment of optical polarization vectors from quasars. This method leads to a definition of intrinsic preferred axes and to a determination of the...

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Probability density of the multipole vectors for a Gaussian cosmic microwave background

Mark R. Dennis and Kate Land.

in Monthly Notices of the Royal Astronomical Society

January 2008; p ublished online December 2007 .

Journal Article. Subjects: Astronomy and Astrophysics. 8085 words.

We review Maxwell's multipole vectors, and elucidate some of their mathematical properties, with emphasis on the application of this tool to the cosmic microwave background (CMB). In...

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Polarization alignments of quasars from the JVAS/CLASS 8.4-GHz surveys

V. Pelgrims and D. Hutsemékers.

in Monthly Notices of the Royal Astronomical Society

P ublished online May 2015 .

Journal Article. Subjects: Astronomy and Astrophysics. 10128 words.

We test the hypothesis that the polarization vectors of flat-spectrum radio sources (FSRSs) from the JVAS/CLASS 8.4-GHz surveys are randomly oriented in the sky. A sample with robust...

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Ising model on random networks and the canonical tensor model

Naoki Sasakura and Yuki Sato.

in Progress of Theoretical and Experimental Physics

P ublished online May 2014 .

Journal Article. Subjects: Classical Mechanics; Particles and Fields. 6262 words.

We introduce a statistical system on random networks of trivalent vertices for the purpose of studying the canonical tensor model, which is a rank-three tensor model in the canonical...

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Are the spin axes of stars randomly aligned within a cluster?

R. J. Jackson and R. D. Jeffries.

in Monthly Notices of the Royal Astronomical Society

February 2010; p ublished online February 2010 .

Journal Article. Subjects: Astronomy and Astrophysics. 8576 words.

We investigate to what extent the spin axes of stars in young open clusters are aligned. Assuming that the spin vectors lie uniformly within a conical section, with an opening half-angle...

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Spatial orientation of angular momentum vectors of galaxies in six rotating clusters

B. Aryal, H. Bhattarai, S. Dhakal, C. Rajbahak and W. Saurer.

in Monthly Notices of the Royal Astronomical Society

September 2013; p ublished online July 2013 .

Journal Article. Subjects: Astronomy and Astrophysics. 4666 words.

We study the spatial orientations of angular momentum vectors of galaxies in six rotating clusters (A954, A1139, A1399, A2162, A2169 and A2366) that show a single number-density peak around...

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Spin vector orientation of galaxies in the region 15h 48m ⩽ α(2000) ⩽ 19h 28m,−68° ⩽ δ(2000) ⩽ −62°

B. Aryal and W. Saurer.

in Monthly Notices of the Royal Astronomical Society

June 2005; p ublished online June 2005 .

Journal Article. Subjects: Astronomy and Astrophysics. 6451 words.

Abstract

We present an analysis of the orientations of 1433 galaxies found in the region 15h48m≤α(2000) ≤ 19h28m, −68°≤δ(2000) ≤−62°. In this region we...

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Radial velocity dependence in the spatial orientations of galaxies in and around the local supercluster

B. Aryal, P. R. Kafle and W. Saurer.

in Monthly Notices of the Royal Astronomical Society

September 2008; p ublished online September 2008 .

Journal Article. Subjects: Astronomy and Astrophysics. 5553 words.

We study the radial velocity dependence in the spatial orientations of 10 562 spiral galaxies that have radial velocity <5000 km s−1. The inclination angle and intrinsic flatness of galaxy...

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Spinning dust emission: the effect of rotation around a non-principal axis

Kedron Silsbee, Yacine Ali-Haïmoud and Christopher M. Hirata.

in Monthly Notices of the Royal Astronomical Society

March 2011; p ublished online March 2011 .

Journal Article. Subjects: Astronomy and Astrophysics. 12644 words.

We investigate the rotational emission from dust grains that rotate around non-principal axes. We argue that in many phases of the interstellar medium, the smallest grains, which dominate...

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On the coherence of WMAP and Planck temperature maps

András Kovács, Julien Carron and István Szapudi.

in Monthly Notices of the Royal Astronomical Society

December 2013; p ublished online October 2013 .

Journal Article. Subjects: Astronomy and Astrophysics. 5651 words.

The recent data release of ESA's Planck mission together with earlier Wilkinson Microwave Anisotropy Probe (WMAP) releases provide the first opportunity to compare high-resolution full sky...

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