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Abstract We use a recent census of the Milky Way (MW) satellite galaxy population to constrain the lifetime of particle dark matter (DM). We consider two-body decaying dark matter (DDM) in which a heavy DM particle decays with lifetime τ comparable to the age of the universe to a lighter DM particle (with mass splitting ϵ ) and to a dark radiation species. These decays impart a characteristic “kick velocity,” V kick = ϵ c , on the DM daughter particles, significantly depleting the DM content of low-mass subhalos and making them more susceptible to tidal disruption. We fit themore »Free, publicly-accessible full text available June 1, 2023
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Free, publicly-accessible full text available June 1, 2023
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Anderson, Douglas R ; Eloe, P ; Goodrich, C ; Peterson, A (Ed.)In this paper, a discrete Markov chain model is developed to describe the inventory at a bike share station. The uniqueness of solutions is first studied. Then the model calibration is considered by investigating a constrained optimization problem. Numerical simulations involving real data are conducted to demonstrate the model effectiveness as well.
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We propose a general framework of using a multi-level log-Gaussian Cox process to model repeatedly observed point processes with complex structures; such type of data have become increasingly available in various areas including medical research, social sciences, economics, and finance due to technological advances. A novel nonparametric approach is developed to efficiently and consistently estimate the covariance functions of the latent Gaussian processes at all levels. To predict the functional principal component scores, we propose a consistent estimation procedure by maximizing the conditional likelihood of super-positions of point processes. We further extend our procedure to the bivariate point process casemore »
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Certified control is a new architectural pattern for achieving high assurance of safety in autonomous cars. As with a traditional safety controller or interlock, a separate component oversees safety and intervenes to prevent safety violations. This component (along with sensors and actuators) comprises a trusted base that can ensure safety even if the main controller fails. But in certified control, the interlock does not use the sensors directly to determine when to intervene. Instead, the main controller is given the responsibility of presenting the interlock with a certificate that provides evidence that the proposed next action is safe. The interlockmore »
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