In this paper, we are concerned with the symmetric simple exclusion process
(SSEP) on the regular tree $\mathcal{T}_d$. A central limit theorem and a
moderate deviation principle of the additive functional of the process are
proved, which include the CLT and the MDP of the occupation time as special
cases. A graphical representation of the SSEP plays the key role in proofs of
the main results, by which we can extend the martingale decomposition formula
introduced in Kipnis (1987) for the occupation time to the case of general
additive functionals.

Cet article explore les excursions dans le temps et leurs implications.

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