11,707 research outputs found

    Anisotropic Diffusion Limited Aggregation

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    Using stochastic conformal mappings we study the effects of anisotropic perturbations on diffusion limited aggregation (DLA) in two dimensions. The harmonic measure of the growth probability for DLA can be conformally mapped onto a constant measure on a unit circle. Here we map mm preferred directions for growth of angular width σ\sigma to a distribution on the unit circle which is a periodic function with mm peaks in [−π,π)[-\pi, \pi) such that the width σ\sigma of each peak scales as σ∼1/k\sigma \sim 1/\sqrt{k}, where kk defines the ``strength'' of anisotropy along any of the mm chosen directions. The two parameters (m,k)(m,k) map out a parameter space of perturbations that allows a continuous transition from DLA (for m=0m=0 or k=0k=0) to mm needle-like fingers as k→∞k \to \infty. We show that at fixed mm the effective fractal dimension of the clusters D(m,k)D(m,k) obtained from mass-radius scaling decreases with increasing kk from DDLA≃1.71D_{DLA} \simeq 1.71 to a value bounded from below by Dmin=3/2D_{min} = 3/2. Scaling arguments suggest a specific form for the dependence of the fractal dimension D(m,k)D(m,k) on kk for large kk, form which compares favorably with numerical results.Comment: 6 pages, 4 figures, submitted to Phys. Rev.

    The Loudest Event Statistic: General Formulation, Properties and Applications

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    The use of the loudest observed event to generate statistical statements about rate and strength has become standard in searches for gravitational waves from compact binaries and pulsars. The Bayesian formulation of the method is generalized in this paper to allow for uncertainties both in the background estimate and in the properties of the population being constrained. The method is also extended to allow rate interval construction. Finally, it is shown how to combine the results from multiple experiments and a comparison is drawn between the upper limit obtained in a single search and the upper limit obtained by combining the results of two experiments each of half the original duration. To illustrate this, we look at an example case, motivated by the search for gravitational waves from binary inspiral.Comment: 11 pages, 8 figure

    Accommodating Youth with Disabilities in 4-H Horse Programs

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    Including and accepting youth with disabilities in horse programs is an important part of our positive youth development mission. There are some inherent dangers and concerns in working with horses that create some unique challenges for volunteers and Extension staff providing an inclusive and inviting program. This article discusses how inclusion of youth with disabilities in educational programs benefits youth with and without disabilities, and strategies we have found successful in our efforts to increase the accessibility of our 4-H horse program to youth with disabilities

    Cosmic Censorship: As Strong As Ever

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    Spacetimes which have been considered counter-examples to strong cosmic censorship are revisited. We demonstrate the classical instability of the Cauchy horizon inside charged black holes embedded in de Sitter spacetime for all values of the physical parameters. The relevant modes which maintain the instability, in the regime which was previously considered stable, originate as outgoing modes near to the black hole event horizon. This same mechanism is also relevant for the instability of Cauchy horizons in other proposed counter-examples of strong cosmic censorship.Comment: 4 pages RevTeX style, 1 figure included using epsfi

    Are HIV smartphone apps and online interventions fit for purpose?

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    Sexual health is an under-explored area of Human-Computer Interaction (HCI), particularly sexually transmitted infections such as HIV. Due to the stigma associated with these infections, people are often motivated to seek information online. With the rise of smartphone and web apps, there is enormous potential for technology to provide easily accessible information and resources. However, using online information raises important concerns about the trustworthiness of these resources and whether they are fit for purpose. We conducted a review of smartphone and web apps to investigate the landscape of currently available online apps and whether they meet the diverse needs of people seeking information on HIV online. Our functionality review revealed that existing technology interventions have a one-size-fits-all approach and do not support the breadth and complexity of HIV-related support needs. We argue that technology-based interventions need to signpost their offering and provide tailored support for different stages of HIV, including prevention, testing, diagnosis and management

    A nonlinear detection algorithm for periodic signals in gravitational wave detectors

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    We present an algorithm for the detection of periodic sources of gravitational waves with interferometric detectors that is based on a special symmetry of the problem: the contributions to the phase modulation of the signal from the earth rotation are exactly equal and opposite at any two instants of time separated by half a sidereal day; the corresponding is true for the contributions from the earth orbital motion for half a sidereal year, assuming a circular orbit. The addition of phases through multiplications of the shifted time series gives a demodulated signal; specific attention is given to the reduction of noise mixing resulting from these multiplications. We discuss the statistics of this algorithm for all-sky searches (which include a parameterization of the source spin-down), in particular its optimal sensitivity as a function of required computational power. Two specific examples of all-sky searches (broad-band and narrow-band) are explored numerically, and their performances are compared with the stack-slide technique (P. R. Brady, T. Creighton, Phys. Rev. D, 61, 082001).Comment: 9 pages, 3 figures, to appear in Phys. Rev.

    Metric Perturbation Approach to Gravitational Waves in Isotropic Cosmologies

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    Gravitational waves in isotropic cosmologies were recently studied using the gauge-invariant approach of Ellis-Bruni. We now construct the linearised metric perturbations of the background Robertson-Walker space-time which reproduce the results obtained in that study. The analysis carried out here also facilitates an easy comparison with Bardeen.Comment: 29 pages, Latex file, accepted for publication in Physical Review
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