Summary
Almost sure convergence theorems are proved for Cesaro averages of continous functions in the case of the symmetric exclsion processes in dimension d≧3. For the occupation time of a single site the same result is proved in all dimensions.
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Andjel, E.D., Kipnis, C.P. Pointwise ergodic theorems for the symmetric exclusion process. Probab. Th. Rel. Fields 75, 545–550 (1987). https://doi.org/10.1007/BF00320333
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DOI: https://doi.org/10.1007/BF00320333