Browsing Mathematics, Department of by Author "Salisbury, Thomas S."
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2D Brownian motion in a system of traps: Application of conformal transformations
Burdzy, Krzysztof; Holyst, Robert; Salisbury, Thomas S. (Institute of Physics, 1992)We study twodimensional Brownian motion in a periodic system of traps using conformal transformations. The system is periodic in the x and y directions. We calculate the ratio of the drift along the yaxis to the drift ... 
On minimal parabolic functions and timehomogenous parabolic htransforms
Burdzy, Krzysztof; Salisbury, Thomas S. (American Mathematical Society, 19990329)Does a minimal harmonic function h remain minimal when it is viewed as a parabolic function? The question is answered for a class of long thin semiinfinite tubes D [is an element of the subset of real numbers to the power ...