1,866,563 research outputs found

    Walk to transit or drive to transit?

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    The most common form of access to urban transit is by foot. Early suburban and exurban commuting to urban centers was facilitated first by commuter rail along existing intercity rail lines and then by interurban services that were often electrified. Since these services generally connected town centers most access to them was by foot and occasionally by horse. The rise of automobility in the early decades of the twentieth century facilitated by increased roadbuilding and paving, led to greater automobile commuting or driving to stations. The provision of park and ride facilities was greatly influenced by shifts in U.S. transportation policy and funding, beginning in the 1960s. The park and ride idea has been imported by many transit systems around the world, although most have made significant departures from the American model in both form and provision. Walk-to and drive-to transit are compared and the consequences of investment in park and ride and “kiss and ride,” especially in the U.S. and Canadian contexts, are explored. It is found that drive-to transit comes with considerable environmental, fiscal and opportunity costs and that its funding could be applied more productively to improving local transit and pedestrians conditions

    Random walk with barycentric self-interaction

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    We study the asymptotic behaviour of a dd-dimensional self-interacting random walk XnX_n (n=1,2,...n = 1,2,...) which is repelled or attracted by the centre of mass Gn=n1i=1nXiG_n = n^{-1} \sum_{i=1}^n X_i of its previous trajectory. The walk's trajectory (X1,...,Xn)(X_1,...,X_n) models a random polymer chain in either poor or good solvent. In addition to some natural regularity conditions, we assume that the walk has one-step mean drift directed either towards or away from its current centre of mass GnG_n and of magnitude XnGnβ\| X_n - G_n \|^{-\beta} for β0\beta \geq 0. When β<1\beta <1 and the radial drift is outwards, we show that XnX_n is transient with a limiting (random) direction and satisfies a super-diffusive law of large numbers: n1/(1+β)Xnn^{-1/(1+\beta)} X_n converges almost surely to some random vector. When β(0,1)\beta \in (0,1) there is sub-ballistic rate of escape. For β0\beta \geq 0 we give almost-sure bounds on the norms Xn\|X_n\|, which in the context of the polymer model reveal extended and collapsed phases. Analysis of the random walk, and in particular of XnGnX_n - G_n, leads to the study of real-valued time-inhomogeneous non-Markov processes ZnZ_n on [0,)[0,\infty) with mean drifts at xx given approximately by ρxβ(x/n)\rho x^{-\beta} - (x/n), where β0\beta \geq 0 and ρR\rho \in \R. The study of such processes is a time-dependent variation on a classical problem of Lamperti; moreover, they arise naturally in the context of the distance of simple random walk on Zd\Z^d from its centre of mass, for which we also give an apparently new result. We give a recurrence classification and asymptotic theory for processes ZnZ_n just described, which enables us to deduce the complete recurrence classification (for any β0\beta \geq 0) of XnGnX_n - G_n for our self-interacting walk

    Replication Data for: Social Media Narratives across Platforms in Conflict: Evidence from Syria

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    Replication data for Social Media Narratives across Platforms in Conflict: Evidence from Syria authors Erin Walk, Elizabeth Parker-Magyar, Ahmet Akbiyik, Kiran Garimella and Fotini Christi

    Random walk on the range of random walk

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    We study the random walk X on the range of a simple random walk on ℤ d in dimensions d≥4. When d≥5 we establish quenched and annealed scaling limits for the process X, which show that the intersections of the original simple random walk path are essentially unimportant. For d=4 our results are less precise, but we are able to show that any scaling limit for X will require logarithmic corrections to the polynomial scaling factors seen in higher dimensions. Furthermore, we demonstrate that when d=4 similar logarithmic corrections are necessary in describing the asymptotic behavior of the return probability of X to the origin

    Welford Place, 1971

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    View of the New Walk Centre site on Welford Place in 1971

    Welford Place, 1971

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    View of the New Walk Centre site on Welford Place in 1971

    Walk in centres: lessons from Canada

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    The current reforms of the United Kingdom's primary healthcare sector intend to improve accessibility to health care. One of the proposals is to introduce "walk-in" primary care centres. The intention is to pilot "a series of nurse led centres which can be used on a `drop in' basis, providing minor treatment, health information and self help advice." The Canadian medical system has many similarities to the British system. Canada's health system is funded through general taxation (and Medicare premiums), and its general practitioners (family physicians) have a gatekeeper role to secondary care in most provinces. Canada has had walk-in centres for over 20 years. However, these centres are a doctor led service. The lessons learnt in Canada about walk-in centres may be relevant to the NHS. In this article I review the available literature about Canadian walk-in centres

    Swinburne Walk, 1980s

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    Swinburne walk (to Glenferrie Railway station)

    Swinburne Walk, 1971

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    Looking east along Swinburne Walk prior to shrub plantings beside rail embankment circa in June 1971

    Logarithmic speeds for one-dimensional perturbed random walk in random environment

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    We study the random walk in random environment on Z+ = f0; 1; 2; : : :g, where the environment is subject to a vanishing (random) perturbation. The two particular cases that we consider are: (i) random walk in random environment perturbed from Sinai's regime; (ii) simple random walk with random perturbation. We give almost sure results on how far the random walker is from the origin, for almost every environment. We give both upper and lower almost sure bounds. These bounds are of order (log t), for 2 (1;1), depending on the perturbation. In addition, in the ergodic cases, we give results on the rate of decay of the stationary distribution
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