## Reflection and coalescence between independent one-dimensional Brownian paths.(English)Zbl 0968.60072

A particular case of the results is the following: Let $$B$$ be the Brownian motion starting at $$0$$ in $$[0,1]$$ and let $$\beta$$ be $$B$$ running backwards from $$\beta(1)= 0$$. Let $$C$$ and $$\gamma$$ be processes “reflected” ($$B$$ in $$\beta$$ and $$\beta$$ in $$B$$). Then $$(C,\beta)$$ and $$(B,\gamma)$$ are identical in law.

### MSC:

 60J65 Brownian motion

### Keywords:

Brownian path; coalescing; reflecting
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