## Nonlinear reflecting diffusion process, and the propagation of chaos and fluctuations associated.(English)Zbl 0547.60080

A nonlinear diffusion satisfying a normal reflecting boundary condition is constructed and a result of propagation of chaos for a system of interacting diffusing particles with normal reflecting boundary conditions is proved. Then a Gaussian limit for the fluctuation field which is defined in $$L^ 2_ 0(B)$$ of a Wiener type space B is obtained. The covariance of the Gaussian limit is computed in terms of a Hilbert-Schmidt operator on $$L^ 2_ 0(B)$$. (Author’s abstract)
Reviewer: D.Dawson

### MSC:

 60J60 Diffusion processes 60J70 Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.)
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### References:

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