Sample path MDP for the current and the tagged particle in the SSEP (Q6595707)

In this paper the authors prove a sample path moderate deviation principle for the current of the symmetric simple exclusion process when the process starts from the Bernoulli product measure \(\nu_\rho\) for some \(\rho\in (0, 1)\). They also prove a sample path moderate deviation principle for the tagged particle of the symmetric simple exclusion process when the process starts from the Bernoulli product measure \(\nu_\rho\) conditioned on having a particle at the origin. The results of this paper extend the results of the recent paper [Stochastic Processes Appl. 167, Article ID 104218, 22 p. (2024; Zbl 1534.60157)] by the same authors.