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We show that the only flow solving the stochastic differential equation (SDE) on
where and are two independent white noises, is a coalescing flow we will denote by . The flow is a Wiener solution of the SDE. Moreover, is the unique solution (it is also a Wiener solution) of the SDE
for , and a twice continuously differentiable function. A third flow can be constructed out of the -point motions of . This flow is coalescing and its -point motion is given by...
In this paper we show that the windings of geodesics around the cusps of a Riemann surface of a finite area, behave asymptotically as independent Cauchy variables.
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