科研之友
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摘要
Wiener measures are measures on curves that are derived from two-dimensional Brownian motion. We prove a relationship between two types of Wiener measures: measures on paths with fixed starting point (say the origin 0) and fixed time duration (say 1); and measures on paths with fixed endpoints (say 0 and i). The relationship is that if we take a curve from the first type, weight it by a suitable power of the distance to the endpoint of the curve and then apply the conformal map that takes the endpoint to i, then we get the curve from the second type.
- 出版日期2014-7
