Izumi S, Oouchida Y, Okita T, Suzuki E, Abe T, Nagatomi R, Nakasato N, Takagi T. Development of an integration circuit to measure pulsed magnetic field: evaluation of its usefulness by comparing measured with theoretical magnetic field structure. Jpn J Compr Rehabil Sci 2012; 3: 42-50. Objective: To develop a search coil with a capacityresistor (CR) integration circuit for instantaneous measure...

In an interval containing the origin we study a Brownian motion which returns to zero as soon as it reaches the boundary. We determine explicitly its transition probability, prove it is ergodic and calculate the decay rate to equilibrium. It is shown that the process solves the martingale problem for certain asymmetric boundary conditions and can be regarded as a diffusion on an eight shaped do...

We use Dowlin's spectral sequence from Khovanov homology to knot Floer prove that reduced with rational coefficients detects the figure-eight knot.