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Full-Text Articles in Physical Sciences and Mathematics
Transient Optical Sky Survey Automated Telescope System, Elena Hadjiyska, Philip Lubin, Scott Taylor, Gary B. Hughes
Transient Optical Sky Survey Automated Telescope System, Elena Hadjiyska, Philip Lubin, Scott Taylor, Gary B. Hughes
Statistics
We describe the optical design of a sky survey system comprised of small aperture telescope tube assemblies mounted on a common semi-equatorial frame with a single polar axis. It is the first ground-based instrument to create a map of transients down to optical m=17 by imaging a fixed-declination strip of the sky on a nightly basis. The system is fully remotely automated and physically robust. The mount tracks the sky using a motion controller, drive motor, and a laser rotary encoder. The prototype configuration is suited to house up to 6 telescopes on the current mount and is easily expandable …
Simulation And Monte Carlo: With Applications In Finance And Mcmc, Samuel J. Frame
Simulation And Monte Carlo: With Applications In Finance And Mcmc, Samuel J. Frame
Statistics
No abstract provided.
Radiometric Clocks, Gary B. Hughes
Radiometric Clocks, Gary B. Hughes
Statistics
This paper provides and introduction to radioactivity, and how geologists exploit radioactive decay to determine the age of rocks.
Optimal Stopping And Free Boundary Characterizations For Some Brownian Control Problems, Amarjit Budhiraja, Kevin J. Ross
Optimal Stopping And Free Boundary Characterizations For Some Brownian Control Problems, Amarjit Budhiraja, Kevin J. Ross
Statistics
A singular stochastic control problem with state constraints in twodimensions is studied. We show that the value function is C1 and its directional derivatives are the value functions of certain optimal stopping problems. Guided by the optimal stopping problem, we then introduce the associated no-action region and the free boundary and show that, under appropriate conditions, an optimally controlled process is a Brownian motion in the noaction region with reflection at the free boundary. This proves a conjecture of Martins, Shreve and Soner [SIAM J. Control Optim. 34 (1996) 2133–2171] on the form of an optimal control for this class …