article published yes Frank Redig author Ellen Saada author Federico Sau author E1836206-9F16-11E9-8814-AEFDE5697425 JaMa department ISTplus - Postdoctoral Fellowships project We consider the symmetric simple exclusion process in Zd with quenched bounded dynamic random conductances and prove its hydrodynamic limit in path space. The main tool is the connection, due to the self-duality of the process, between the invariance principle for single particles starting from all points and the macroscopic behavior of the density field. While the hydrodynamic limit at fixed macroscopic times is obtained via a generalization to the time-inhomogeneous context of the strategy introduced in [41], in order to prove tightness for the sequence of empirical density fields we develop a new criterion based on the notion of uniform conditional stochastic continuity, following [50]. In conclusion, we show that uniform elliptic dynamic conductances provide an example of environments in which the so-called arbitrary starting point invariance principle may be derived from the invariance principle of a single particle starting from the origin. Therefore, our hydrodynamics result applies to the examples of quenched environments considered in, e.g., [1], [3], [6] in combination with the hypothesis of uniform ellipticity. https://research-explorer.ista.ac.at/download/8973/8976/2020_ElectronJProbab_Redig.pdf application/pdfno Institute of Mathematical Statistics2020 eng 1083-6489 1811.01366 00059173750000110.1214/20-EJP536 25 F. Redig, E. Saada, and F. Sau, “Symmetric simple exclusion process in dynamic environment: Hydrodynamics,” <i>Electronic Journal of Probability</i>, vol. 25. Institute of Mathematical Statistics, 2020. Redig F, Saada E, Sau F. Symmetric simple exclusion process in dynamic environment: Hydrodynamics. <i>Electronic Journal of Probability</i>. 2020;25. doi:<a href="https://doi.org/10.1214/20-EJP536">10.1214/20-EJP536</a> F. Redig, E. Saada, F. Sau, Electronic Journal of Probability 25 (2020). Redig, Frank, Ellen Saada, and Federico Sau. “Symmetric Simple Exclusion Process in Dynamic Environment: Hydrodynamics.” <i>Electronic Journal of Probability</i>. Institute of Mathematical Statistics, 2020. <a href="https://doi.org/10.1214/20-EJP536">https://doi.org/10.1214/20-EJP536</a>. Redig, F., Saada, E., &#38; Sau, F. (2020). Symmetric simple exclusion process in dynamic environment: Hydrodynamics. <i>Electronic Journal of Probability</i>. Institute of Mathematical Statistics. <a href="https://doi.org/10.1214/20-EJP536">https://doi.org/10.1214/20-EJP536</a> Redig, Frank, et al. “Symmetric Simple Exclusion Process in Dynamic Environment: Hydrodynamics.” <i>Electronic Journal of Probability</i>, vol. 25, 138, Institute of Mathematical Statistics, 2020, doi:<a href="https://doi.org/10.1214/20-EJP536">10.1214/20-EJP536</a>. Redig F, Saada E, Sau F. 2020. Symmetric simple exclusion process in dynamic environment: Hydrodynamics. Electronic Journal of Probability. 25, 138. 89732020-12-27T23:01:17Z2026-07-06T12:04:40Z