Boundary crossings

Integrated vision sensor for detecting boundary crossings

Boundary non-crossings of Brownian pillow

Let B0(s, t) be a Brownian pillow with continuous sample paths, and let h, u : [0, 1] 2 → R be two measurable functions. In this paper we derive upper and lower bounds for the boundary non-crossing probability ψ(u;h) := P{B0(s, t) + h(s, t) ≤ u(s, t), ∀s, t ∈ [0, 1]}. Further we investigate the asymptotic behaviour of ψ(u; γh) with γ tending to ∞, and solve a related minimisation problem.

State and Parameter Estimation from Boundary–Crossings

In this paper we consider the problem of estimating the state, and identifying parameters of a diffusion process, when the only available information is the crossing times of a boundary. By using a partial differential equation approach related with the computation of boundary–crossing probabilities, we derive finite dimensional reconstructors (filters) for the state and Feynman Kac type functi...

Border crossings: on the boundary of the physician-patient relationship.

Physicians are trained to divorce personal feelings from professional duty and to avoid those patient encounters in which we playa dual or compromised role. Yet in practice, especially in those encounters where the physician-patient relationship is our chief therapeutic tool, emotion and conflict often arise. Rather than fearing their intrusions, we should understand them to be inevitable, info...

Zero crossings of velocity fluctuations in turbulent boundary layers

In this paper some results are presented on the statistical properties of zero crossings of turbulent velocity fluctuations in boundary layers over a wide range of Reynolds numbers. The earlier finding that the probability density function (pdf) of the intervals between successive zero crossings of the streamwise velocity fluctuation u can be approximated by two exponentials, ,* each with its o...