Ergodicity of self - attracting motion ∗
نویسندگان
چکیده
We study the asymptotic behaviour of a class of self-attracting motions on R. We prove the decrease of the free energy related to the system and mix it together with stochastic approximation methods. We finally obtain the (limit-quotient) ergodicity of the self-attracting diffusion with a speed of convergence.
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